The measure of the angle $\theta$ from the line $p_1x+q_1x+r_1=0$ to the line $p_2x+q_2y+r_2=0$, is given by $\tan{\theta}$=______;
The xy-coordinates are rotated about origin at an angle $180^o$ , then the coordinates of the point $P(4,-1)$ are;
If the gradient of the line passing through $A(3,2)$ is $\frac{3}{4}$, the points on the at a distance 5 units from A are;
Slope of line parallel to $x-axis$ is;
Equation of line having slope 3 making x-intercept 5 is
The equation of the line through the points $(2,4)$ and $(7,1)$ is;
Find $'b'$ if the line through $(3,4)$ and $(-1,b)$ is parallel to the line through $(2,3)$ and $(-4,1)$.
Which is the intercept form of the equation $px+qy+r=0$?
If a line passes through points $(4,3)$ and $(2,\lambda)$ will be shifted into;
The line segment joining by the points $(-3,-4)$ and $(1,-2)$ is divide by y-axis in the ratio
Directed between the lines $4x+3y=11$ and $ 8x+6y=15$ is _________.
The average entry test score of engineering candidates was 592 in the year 1998, while the score was 564 in 2002. assuming that the relationship between time and score is linear, then the average score in the year 2006 will be;
The distance between the parallel lines $4x+3y-2=0$ and $4x+3y+8=0$ is;
If $\overline{AB}:\overline{BC}=2:3$ then point C divides the line segment $AB$ externally in ratio
The inclination of the x-axis is;
Any equation of first degree in x and y represents a;
Joint equation of lines through the origin and perpendicular to the lines $x^2+xy-6y^2=0$
The points $(7, 9), (3, -7)$ and $(-3, 3)$ are the vertices of
The equation of the straight line through the point of intersection of $16x-10y-33=0, 12x+14y+29=0$ and the intersection of $x-y+4=0, x-7y+2=0$ is;
The equation of the line through the point $(-2,1)$ and the point of interaction of the lines $4x+3y-1=0$ and $2x-6y+5=0$ is;
$y=-\frac{17}{9}x+\frac{37}{9}$ is _______ form equation $9y+17x-37=0$.
Point of intersection of pair of lines $7x+2y=6$ and $3x+y=0$;
Centroid of a triangle with vertices $A(2, 3), B(-1, 6)$ and $C(7, 5)$ is
The equation of line through $(x_2, y_2)$ perpendicular to the line $px+qy+r=0$ is;
Two lines are parallel if and only if they have same;
The area of the triangle formed by the lines $7x-y-10=0$, $10x+y-41=0$ and $3x+2y+3=0$ is;
Which pair of line are $\perp$ to each other?
If the sum of the distances of a point from two $\perp$ lines is 1 then the locus is ___-
The points $(4, -2), (-2, 4)$ and $(5, 5)$ are the vertices of a triangle. Then the coordinates of the in centre of the triangle are _______ ?
Equation of hypotenuse $\overline{AB}$ of length $\sqrt{2}$ in isosceles $\triangle \, OAB$ is
The points $(5,-2), (1,2), (-2,5)$ are;
$A(0,b), B(0,0)$ and $C(a,0)$ are vertices of a triangle. Its median AD and mutually perpendicular if;
Distance of the point $(-7,13)$ from the line $2x+y+13=0$ is;
Slope of a line parallel to y-axis is;
Which point is above the line $\frac{4}{3}x+y=1?$
The measure of the angle from the first line to the second line whose slopes are $0$ and $3$, is;
The inclination of any line parallel to y-axis is
The matrix form of the system of linear equations; $3x+4y-7=0$ , $2x-5y+8=0$ , $x+y-3=0$
The vertices of a $\triangle \, ABC$ are $(2,2), (-4,-4)$ and $(5,-8)$ respectively, the length of the median through C is_________
The slope formula is given by;
The equation of line through $(-3, 5)$ and $\perp$ to line $x+2y+3=0$ is;