Conic Section | Circle - MCQs | National Book Foundation

Conic Section – Circle (Exercise 7.1, Exercise 7.2, Exercise 7.3) Conic Section – Circle MCQs from National Book Foundation provides a focused collection of multiple-choice questions to help students understand the key concepts of circles in analytical geometry. This resource covers important topics such as equations of a circle, radius, center, tangents, chords, and related properties. It is ideal for students preparing for board exams, entry tests, and competitive exams, offering practice-based learning to strengthen problem-solving skills and conceptual clarity.

Topic: Circle

March 28, 2026

Name

The set of all the points in the plane that are equally distant from a fixed point is called a:

Parabola

Ellipse

Hyperbola

Circle

None

If a plane passes through the vertex of the cone, then the intersection is:

an ellipse

a parabola

a hyperbola

a point circle

None

A cone is generated by all lines through a fixed point and the circumference of;

a circle

an ellipse

a hyperbola

none of these

None

The fixed point which lies on the axis of the cone is called its:

axis

apex

plane

diameter

None

The surface generated by lines, consistent of two parts, called:

vertex

apex

nappes

conics

None

The lines that form the cone are called its:

generators

circular cone

nappes

conics

None

If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a;

circle

ellipse

hyperbola

parabola

None

The vertex of the cone are also called:

nappes

axis

rulings

apex

None

The generators of a cone are also called:

rulings

apex

nappes

ellipse

None

10.

If the cutting plane is slightly tilted and cuts only one nappe of the cone, the resulting section is:

an ellipse

a circle

a hyperbola

a parabola

None

11.

If the intersecting plane is parallel to a generator of the cone, but intersects its one nappe only, the curve of intersection is:

a circle

an ellipse

a parabola

a hyperbola

None

12.

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the curve of intersection is:

an ellipse

a circle

a parabolic

a hyperbola

None

13.

The familiar plane curves namely circles, ellipse, parabola and hyperbola are obtained from:

cones

conics

nappes

apex

None

14.

To study conics, Pappus used the method of:

analytic geometry

solid geometry

Euclidean geometry

none of these

None

15.

Apollonius was a:

rocket

Muslim scientist

Greek mathematician

method of finding conics

None

16.

The centre and radius of the circle $5x^{2}+5y^{2}+24x+24y+10=0$ are:

$\left(\dfrac{12}{5},\dfrac{12}{5}\right),\ \dfrac{\sqrt{324}}{5}$

$\left(-\dfrac{24}{5},-\dfrac{24}{5}\right),\ \dfrac{\sqrt{418}}{5}$

$\left(-\dfrac{24}{5},-\dfrac{18}{5}\right),\ \dfrac{\sqrt{418}}{5}$

$\left(\dfrac{24}{5},\dfrac{18}{5}\right),\ \dfrac{\sqrt{324}}{5}$

None

17.

The equation $x^{2}+y^{2}+2gx+2fy+c=0$ represents:

pair of lines

a circle

a general second degree equation

a hyperbola

None

18.

A second degree equation in which coefficients of $x^{2}$ and $y^{2}$ are equal and there is no product term $xy$ represents:

a parabola

a circle

an ellipse

a pair of lines

None

19.

The equation of the circle whose centre is $(-3,5)$ and having radius $7$ is:

$(x-3)^{2}+(y+5)^{2}=7^{2}$

$(x+3)^{2}+(y-5)^{2}=7^{2}$

$(x-3)^{2}+(y-5)^{2}=7^{2}$

$x^{2}+y^{2}+6x-10y-15=0$

None

20.

If three non-collinear points through which a circle passes are known, then we can find the:

variables $x$ and $y$

value of $x$ and $c$

three constants $f,g,c$

inverse of the circle

None

21.

If centre of the circle is the origin, then equation of the circle is:

$x^{2}+y^{2}=r^{2}$

$2gx+2fy-c=0$

$x^{2}+y^{2}=0$

$gx+fy-\frac{c}{2}=0$

None

22.

The equation $x^{2}+y^{2}+2gx+2fy+c=0$ degenerates to a point circle if:

$f^{2}+g^{2}-c<0$

$g^{2}+f^{2}-c=0$

$g^{2}+f^{2}+c=0$

$g^{2}+f^{2}-c>0$

None

23.

The equation of the circle with centre at $(5,-2)$ and radius $4$ is:

$x^{2}+y^{2}+5x-2y+16=0$

$x^{2}+y^{2}-5x-2y-16=0$

$x^{2}+y^{2}-2x+5y-10=0$

$x^{2}+y^{2}-10x+4y+13=0$

None

24.

The centre and radius of the circle $4x^{2}+4y^{2}-8x+12y-25=0$ are:

$\left(-1,\dfrac{-3}{2}\right),\ \dfrac{\sqrt{19}}{2}$

$(1,2),\ \dfrac{-3}{2}$

$\left(1,\dfrac{-2}{3}\right),\ \dfrac{\sqrt{19}}{2}$

$\left(1-2,\dfrac{17}{3}\right)$

None

25.

The radius of the circle $x^{2}+y^{2}-6x+4y+13=0$ is:

$1$

$2$

$0$

none of these

None

26.

The centre and radius of the circle $5x^{2}+5y^{2}+14x+12y-10=0$ are:

$\left(\dfrac{7}{5},\dfrac{-6}{5}\right),\ \dfrac{3\sqrt{3}}{2}$

$\left(\dfrac{2}{3},\dfrac{-3}{2}\right),\ \dfrac{3\sqrt{3}}{\sqrt{5}}$

$\left(\dfrac{-7}{6},\dfrac{6}{5}\right),\ \dfrac{3\sqrt{3}}{\sqrt{5}}$

$\left(\dfrac{-7}{5},\dfrac{-6}{5}\right),\ \dfrac{3\sqrt{3}}{\sqrt{5}}$

None

27.

Equation of the circle having the join of $A(x_1,y_1)$ and $B(x_2,y_2)$ as diameter is:

$(x-y_1)(x-y_2)+(x_2-x_1)(x_2-y_1)=0$

$(x-x_1)(x-x_2)+(y-y_1)(y-y_2)=0$

$x^{2}+y^{2}-2gx_1-2fy_1=c$

$x_1^{2}+y_1^{2}-2gx_2-2fy_2-c=0$

None

28.

The area of the circle centred at $(1,2)$ and passing through $(4,6)$ is:

$10\pi$

$25\pi$

$5\pi$

$\dfrac{25}{2}\pi$

None

29.

The equation of the circle which passes through $(4,5)$ and whose centre is $(2,2)$ is:

$x^{2}+y^{2}+2x+2y=0$

$x^{2}+y^{2}+2x-4y-5=0$

$x^{2}+y^{2}-4x-4y-5=0$

$x^{2}+y^{2}+4x+4y-5=0$

None

30.

The equation $ax^{2}+by^{2}+2hxy+2gx+2fy+c=0$ represents a circle iff:

$a=b,\ h=0$

$f=g,\ c=0$

$a=b,\ h\neq0$

none of these

None

31.

Equation of the circle passing through $A(3,-1)$, $B(0,1)$ and having centre $4x-3y-3=0$ is:

$x^{2}+y^{2}+4x-3y-3=0$

$x^{2}+y^{2}-15x-18y+17=0$

$x^{2}+y^{2}+3x-y+1=0$

none of these

None

32.

The general equation of a circle $x^{2}+y^{2}+2gx+2fy+c=0$ contains:

three independent variables

two independent constants

three independent parameters

three independent constants

None

33.

Parametric equations of circle $x^{2}+y^{2}=r^{2}$ are:

$r_1=x\cos\theta,\ r_2=y\sin\theta$

$x=r\cos\theta,\ y=r\sin\theta$

$x=r\sin{\theta}_1,\ y=r\sin{\theta}_2$

$x=r_1\cos{\theta},\ y=r_2\sin{\theta}$

None

34.

The radius of the circle $2x^{2}+2y^{2}-4x+12y+11=0$ is:

$\sqrt{4.5}$

$\sqrt{11}$

$\sqrt{29}$

$\sqrt{15}$

None

35.

The equation $x^{2}+y^{2}+2gx+2fy+c=0$ represents a circle whose centre is:

$(g,f)$

$(g,-f)$

$(2g,2f)$

$(-g,-f)$

None

36.

The equation $x^{2}+y^{2}+2gx+2fy+c=0$ represents a circle whose radius is:

$\sqrt{f^{2}-g^{2}-c}$

$\sqrt{f^{2}+g^{2}+c^{2}}$

$\sqrt{g^{2}+f^{2}-c}$

$\sqrt{g^{2}+f^{2}-c^{2}}$

None

37.

If a circle passes through the points $(2,-1)$, $(2,3)$, $(4,-1)$ then its radius is:

$\sqrt{5}$

$\sqrt{2}$

$2$

none of these

None

38.

The centre of the circle $ax^{2}+ay^{2}=bx+cy$ is:

$\left(\dfrac{b}{a},\dfrac{c}{a}\right)$

$\left(\dfrac{b}{2a},\dfrac{c}{2a}\right)$

$\left(\dfrac{-b}{2a},\dfrac{-c}{2a}\right)$

$\left(\dfrac{b}{2a},\dfrac{a}{2c}\right)$

None

39.

The radius of the circle $7x^{2}+7y^{2}-4x-y-3=0$ is:

$\dfrac{14}{\sqrt{101}}$

$\dfrac{\sqrt{101}}{96}$

$\dfrac{10}{7}$

$\dfrac{\sqrt{101}}{14}$

None

40.

The radius of the circle \[ x^2 + y^2 + 8x - 2y - 8 = 0 \] is:

$5$

$\sqrt{2}$

$\sqrt{5}$

$\sqrt{3}$

None

41.

The centre and radius of the circle \[ 2x^2 + 2y^2 - 3x + 2y + 1 = 0 \] are:

$\left(\frac14,-\frac12\right), \frac{\sqrt3}{2}$

$\left(-\frac32,\frac12\right), \sqrt2$

$\left(\frac34,-\frac12\right), \frac{\sqrt5}{4}$

$\left(-\frac23,\frac13\right), \frac{1}{\sqrt2}$

None

42.

The centre and radius of the circle \[ 3x^2 + 3y^2 + 6x - 3y - 2 = 0 \] are:

$\left(\frac12,-1\right), 6$

$(3,-1), \frac{\sqrt7}{2}$

$\left(1,-\frac12\right), \frac{13}{2}$

$\left(-1,\frac12\right), \frac{\sqrt{69}}{6}$

None

43.

The equation of the circle with centre $(2,7)$ passing through $(-3,-5)$ is:

$x^2 + y^2 - 4x - 14y - 116 = 0$

$x^2 + y^2 + 4x + 14y - 116 = 0$

$x^2 + y^2 - 4x + 14y + 116 = 0$

$x^2 + y^2 + 4x - 14y + 116 = 0$

None

44.

If the line joining $(2,1)$ to $(6,5)$ is a diameter of the circle, then equation of the circle is:

$x^2 + y^2 + 8x - 6y - 17 = 0$

$x^2 + y^2 - 8x - 6y + 17 = 0$

$x^2 + y^2 - 8x + 6y + 17 = 0$

$x^2 + y^2 - 3x - 2y + 13 = 0$

None

45.

If the equation $(x-a)^2 + (y-b)^2 = c^2$ represents a circle, then:

$a \neq 0$

$b \neq 0$

$c \neq 0$

$a \neq 0,\, b \neq 0,\, c \neq 0$

None

46.

The circles $x^2 + y^2 - 6x + 5 = 0$ and $x^2 + y^2 - 8x + 7 = 0$ touch each other, the point of contact is:

$(6,0)$

$\left(\frac67,0\right)$

$(1,0)$

None of these

None

47.

The point of contact of the circles \[ x^2 + y^2 - 6x - 6y + 10 = 0 \quad \text{and} \quad x^2 + y^2 = 2 \] is:

$(-3,2)$

$(1,3)$

$(-2,-1)$

None of these

None

48.

The circles $x^2 + y^2 - 4x + 6y + 8 = 0$ and $x^2 + y^2 - 10x - 6y + 14 = 0$:

touch internally

touch externally

intersect

do not touch

None

49.

If the two circles $x^2 + y^2 + 2gx + 2fy = 0$ and $x^2 + y^2 + 2g'x + 2f'y = 0$ touch each other, then:

$g f' = g' f$

$f f' = g g'$

$g f = g' f'$

None of these

None

50.

Circles $x^2 + y^2 - 2x - y = 0$ and $x^2 + y^2 - 8y - 4 = 0$:

intersect

touch externally

touch internally

do not touch

None

51.

Circles $x^2 + y^2 - 10x + 4y - 20 = 0$ and $x^2 + y^2 + 14x - 6y + 22 = 0$:

intersect at two points

touch externally

one contains the other

do not intersect

None

52.

Points of intersection of $x^2 + y^2 = 25$ and $x^2 + y^2 - 8x + 7 = 0$ are:

$(3,4), (-3,4)$

$(-3,-4), (3,4)$

$(-4,-3), (-4,3)$

$(4,3), (4,-3)$

None

53.

Two circles $x^2 + y^2 - 4x - 6y - 8 = 0$ and $x^2 + y^2 - 2x - 3 = 0$:

intersect

touch

one contains the other

do not intersect

None

54.

Circles $x^2 + y^2 - 2x - 4y = 0$ and $x^2 + y^2 - 8y - 4 = 0$:

touch externally

touch internally

intersect at two points

do not intersect

None

55.

Two circles $x^2 + y^2 + 2x - 2y - 7 = 0$ and $x^2 + y^2 - 6x + 4y - 9 = 0$:

touch internally

intersect

do not intersect

touch externally

None

56.

Two circles $x^2 + y^2 + 2x - 8 = 0$ and $x^2 + y^2 - 6x + 6y - 46 = 0$:

touch internally

do not intersect

touch externally

none of these

None

57.

Equation of the circle which passes through $(3,-6)$ and touches both the axes is:

$x^2 + y^2 + 6x - 6y - 9 = 0$

$x^2 + y^2 + 25x - 30y - 225 = 0$

$x^2 + y^2 - 6x + 6y + 9 = 0$

None of these

None

58.

The equation of the circle which touches both axes and whose radius is $a$, is:

$x^2 + y^2 - ax - ay = 0$

$x^2 + y^2 - 2ax - 2ay = 0$

$x^2 + y^2 + ax + ay = 0$

$x^2 + y^2 - 2ax - 2ay + a^2 = 0$

None

59.

Circle $x^2 + y^2 + 4x - 4y + 4 = 0$ touches:

$x\text{-axis}$

$y\text{-axis}$

$x\text{-axis and } y\text{-axis}$

$\text{none of these}$

None

60.

Equation of a circle which passes through $(3,6)$ and touches the axis is:

$x^2 + y^2 + 6x + 6y + 3 = 0$

$x^2 + y^2 - 6x - 6y + 9 = 0$

$x^2 + y^2 - 6x + 6y - 9 = 0$

$x^2 + y^2 + 6x + 6y + 9 = 0$

None

61.

This circle represents:

$x^2 + y^2 - 2hx + h^2 - r^2 = 0$

$x^2 + y^2 - 2hx + k^2 + r^2 = 0$

$x^2 + y^2 + 2hx + k^2 - r^2 = 0$

$x^2 + y^2 - 2hx + r^2 = 0$

None

62.

If the circle $x^2 + y^2 + 2gx + 2fy + c = 0$ touches $x$-axis, then:

$g^2 = c$

$f = g$

$g^2 + f^2 = c^2$

$f^2 = c$

None

63.

If the circle $x^2 + y^2 + 2gx + 2fy + c = 0$ touches both $x$-axis and $y$-axis, then coordinates of the centre is:

$(r,r)$

$(h,r)$

$(r,k)$

$(0,0)$

None

64.

If the circle $(x-h)^2 + (y-k)^2 = r^2$ touches $y$-axis then equation of the circle is:

$x^2 + y^2 + 2hx + k^2 = 0$

$x^2 + y^2 - 2hx - 2ky + k^2 = 0$

$x^2 + y^2 - 2hx + 2hy + h^2 = 0$

$\text{None of these}$

None

65.

The equation of the circle $(x-h)^2 + (y-k)^2 = r^2$, passing through the origin having centre on $x$-axis is:

$x^2 + y^2 - 2rx = 0$

$x^2 + y^2 - 2ry = 0$

$x^2 + y^2 - 2rx - 2ry + r^2 = 0$

$\text{None of these}$

None

66.

The equation of circle passing through $(1,-2)$ and $(3,-4)$ and touches $x$-axis is:

$x^2 + y^2 - 6x + 4y + 9 = 0$

$x^2 + y^2 + 6x - 2y + 9 = 0$

$x^2 + y^2 - 3x + 4y + 16 = 0$

$x^2 + y^2 - 2x - 4y + 4 = 0$

None

67.

If $(x_1,y_1)$ and $(x_2,y_2)$ are ends of the diameter, then the centre of the circle is:

$\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)$

$\left( \frac{x_1-x_2}{2}, \frac{y_1-y_2}{2} \right)$

$\left( \frac{x_1+y_1}{2}, \frac{x_2+y_2}{2} \right)$

$\left( \frac{x_2-x_1}{2}, \frac{y_2-y_1}{2} \right)$

None

68.

The equation of the circle, if $(1,2)$ and $(2,3)$ are the ends of the diameter, is:

$x^2 + y^2 - 2x - 2y + 9 = 0$

$x^2 + y^2 - x - y + 8 = 0$

$x^2 + y^2 - 3x - 5y + 8 = 0$

None of these

None

69.

If the circle $x^2 + y^2 + 2x - 2y + c = 0$ passes through $(1,-1)$, then $c =?$:

$2$

$0$

$-6$

$6$

None

70.

The points of intersection of the line $y = 2x - 3$ and the circle \[ x^2 + y^2 - 3x + 2y - 3 = 0 \] are:

two

three

less than two

not intersect

None

71.

One of the points of intersection of the line \[ 2x - y + 1 = 0 \] and circle \[ x^2 + y^2 = 2 \] is:

$(-2,-2)$

$(-1,-1)$

$(2,1)$

$(1,-1)$

None

72.

The equation of the circle containing the points $(1,-2)$ and $(4,-3)$ and having the centre on the straight line $3x + 4y = 7$ is:

$x^2 + y^2 -4x -2y +4 = 0$

$15x^2 + 15y^2 + 94x -18y +55 = 0$

$15x^2 + 15y^2 -94x +18y +55 = 0$

$x^2 + y^2 -3x -y +55 = 0$

None

73.

The line \[ 4x + 3y + k = 0 \] will touch the circle \[ 2x^2 + 2y^2 = 5x \] if $k =$:

$-\frac{5}{4},\ \frac{45}{4}$

$\frac{4}{5},\ -\frac{4}{45}$

$\frac{4}{5},\ -\frac{45}{4}$

$\frac{5}{4},\ -\frac{45}{4}$

None

74.

The coordinates of the point of intersection of \[ x^2 + y^2 = 25 \] and \[ 3x + y = 5 \] are:

$(0,-4),(5,3)$

$(0,5),(3,-4)$

$(0,3),(5,-4)$

$(5,0),(-3,4)$

None

75.

Equation of the tangent to the circle \[ x^2 + y^2 + 2gx + 2fy + c = 0 \] at $(x_1,y_1)$ is:

$x^2 + y^2 + 2x_1x + 2y_1y + 2gf = 0$

$xx_1 + yy_1 + g(y+y_1) + f(x+x_1) + c = 0$

$x_1^2 + y_1^2 + g(x+x_1) + f(y+y_1) + c = 0$

$xx_1 + yy_1 + g(x+x_1) + f(y+y_1) + c = 0$

None

76.

The slope of the tangent of the circle \[ x^2 + y^2 = 25 \] at $(4,3)$ is:

$-\frac{4}{5}$

$\frac{4}{3}$

$\frac{25}{4}$

$\frac{25}{3}$

None

77.

The slope of the tangent at $(5\cos\theta,5\sin\theta)$ of the circle \[ x^2 + y^2 = 25 \] is:

$-5\cos\theta\sin\theta$

$1$

$\frac{1}{5}$

$-\frac{\cos\theta}{\sin\theta}$

None

78.

The slope of the normal at $\left(1,\frac{10}{3}\right)$ to the circle \[ 3x^2 + 4y^2 - 16x + 24y - 117 = 0 \] is:

$-\frac{1}{2}$

$\frac{24}{17}$

$\frac{2}{3}$

None of these

None

79.

The slope of the normal at $(4,3)$ to the circle \[ x^2 + y^2 = 25 \] is:

$\frac{3}{4}$

$-\frac{3}{4}$

$\frac{4}{3}$

$-\frac{4}{3}$

None

80.

The points on the circle \[ x^2 + y^2 - 4x + 6y + 9 = 0 \] with ordinate $-2$ are:

$(2+\sqrt3,2),(2-\sqrt3,2)$

$(\sqrt3-2,-2),(\sqrt3+2,-2)$

$(2-\sqrt3,2),(\sqrt3-2,-2)$

$(2+\sqrt3,-2),(2-\sqrt3,-2)$

None

81.

The slope of the tangent at $(x_1,y_1)$ to the circle \[ x^2 + y^2 + 2gx + 2fy + c = 0 \] is:

$\frac{x_1+f}{y_1+g}$

$\frac{x_1-g}{y_1-f}$

$\frac{x_1-f}{y_1-g}$

$-\frac{x_1+g}{y_1+f}$

None

82.

The equation of the normal at $(x_1,y_1)$ to the circle \[ x^2 + y^2 + 2gx + 2fy + c = 0 \] is:

$(y-y_1)(x_1+g) = (x-x_1)(y_1+f)$

$(y+y_1)(x_1-g) = (x+x_1)(y_1-f)$

$(y-y_1)(x_1-g) = (x-x_1)(y_1-f)$

$(y+y_1)(x_1+g) = (x+x_1)(y_1+f)$

None

83.

The equation of the tangent to the circle \[ x^2 + y^2 = 2 \] parallel to the line $x - 2y = 1$ is:

$x - 2y \pm \sqrt{26} = 0$

$2x - 3y - \sqrt{26} = 0$

$x - 2y \pm \sqrt{10} = 0$

$2x - 3y + \sqrt{26} = 0$

None

84.

The equations of the tangents to the circle \[ x^2 + y^2 = 2 \] perpendicular to the line $3x + 2y = 6$ are:

$2x - 3y + \sqrt{13} = 0$

$x - 2y + \sqrt{10} = 0$

$2x - 3y + \sqrt{10} = 0$

$2x - 3y + \sqrt{26} = 0$

None

85.

Equation of tangent to the circle \[ x^2 + y^2 = 7 \] at $(\sqrt{7}\cos\theta, \sqrt{7}\sin\theta)$ is:

$x\cos\theta - y\sin\theta = \sqrt{7}$

$x\cos\theta + y\sin\theta = \sqrt{7}$

$x\cos\theta + y\sin\theta = 7$

$x\cos\theta - y\sin\theta = 7$

None

86.

Equations of tangents to the circle \[ x^2 + y^2 - 6x + 4y = 12 \] parallel to $4x + 3y + 5 = 0$ are:

$4x + 3y + 19 = 0$ and $4x + 3y - 31 = 0$

$4x + 3y - 19 = 0$ and $4x + 3y + 31 = 0$

$4x - 3y + 19 = 0$ and $4x - 3y - 31 = 0$

$4x - 3y - 19 = 0$ and $4x - 3y + 31 = 0$

None

87.

Equation of the normal to the circle \[ x^2 + y^2 - 3x - 6y - 10 = 0 \] at the point $(-3,4)$ is:

$2x - 9y - 30 = 0$

$2x + 9y + 30 = 0$

$2x - 3y + 90 = 0$

$2x + 9y - 30 = 0$

None

88.

Equation of tangent to the circle \[ x^2 + y^2 = 5 \] at $(\sqrt{5}\cos\theta, \sqrt{5}\sin\theta)$ is:

$x\cos\theta + y\sin\theta = \sqrt{5}$

$x\cos\theta + y\sin\theta = 5$

$x\cos\theta - y\sin\theta = \sqrt{5}$

$x\cos\theta - y\sin\theta = 5$

None

89.

Equation of normal to the circle \[ x^2 + y^2 = a^2 \] at $(a\cos\theta, a\sin\theta)$ is:

$x\sin\theta - y\cos\theta = a$

$x\cos\theta + y\sin\theta = a$

$x\sin\theta + y\cos\theta = a^2$

$x\sin\theta - y\cos\theta = 0$

None

90.

The slope of the normal at $(5\cos\theta,5\sin\theta)$ to the circle \[ x^2 + y^2 = 25 \] is:

$\tan\theta$

$\frac{\cos\theta}{\sin\theta}$

$-\cot\theta$

$-\tan\theta$

None

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