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;

Find $'b'$ if the line through $(3,4)$ and $(-1,b)$ is parallel to the line through $(2,3)$ and $(-4,1)$.

Centroid of a triangle with vertices $A(2, 3), B(-1, 6)$ and $C(7, 5)$ is

Directed between the lines $4x+3y=11$ and $ 8x+6y=15$ is _________.

Which is the intercept form of the equation $px+qy+r=0$?

The distance between the parallel lines $4x+3y-2=0$ and $4x+3y+8=0$ is;

The xy-coordinates are rotated about origin at an angle $180^o$ , then the coordinates of the point $P(4,-1)$ are;

The area of the triangle formed by the lines $7x-y-10=0$, $10x+y-41=0$ and $3x+2y+3=0$ is;

The points $(5,-2), (1,2), (-2,5)$ are;

The vertices of a $\triangle \, ABC$ are $(2,2), (-4,-4)$ and $(5,-8)$ respectively, the length of the median through C is_________

The equation of line through $(x_2, y_2)$ perpendicular to the line $px+qy+r=0$ is;

Slope of line parallel to $x-axis$ is;

If the sum of the distances of a point from two $\perp$ lines is 1 then the locus is ___-

Which pair of line are $\perp$ to each other?

If a line passes through points $(4,3)$ and $(2,\lambda)$ will be shifted into;

Distance of the point $(-7,13)$ from the line $2x+y+13=0$ is;

The inclination of the x-axis is;

Equation of line having slope 3 making x-intercept 5 is

Joint equation of lines through the origin and perpendicular to the lines $x^2+xy-6y^2=0$

The matrix form of the system of linear equations; $3x+4y-7=0$ , $2x-5y+8=0$ , $x+y-3=0$

$y=-\frac{17}{9}x+\frac{37}{9}$ is _______ form equation $9y+17x-37=0$.

The inclination of any line parallel to y-axis 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;

The measure of the angle from the first line to the second line whose slopes are $0$ and $3$, is;

$A(0,b), B(0,0)$ and $C(a,0)$ are vertices of a triangle. Its median AD and mutually perpendicular if;

The points $(7, 9), (3, -7)$ and $(-3, 3)$ are the vertices of

Two lines are parallel if and only if they have same;

If $\overline{AB}:\overline{BC}=2:3$ then point C divides the line segment $AB$ externally in ratio

The equation of the line through the points $(2,4)$ and $(7,1)$ is;

The line segment joining by the points $(-3,-4)$ and $(1,-2)$ is divide by y-axis in the ratio

Point of intersection of pair of lines $7x+2y=6$ and $3x+y=0$;

Which point is above the line $\frac{4}{3}x+y=1?$

The equation of line through $(-3, 5)$ and $\perp$ to line $x+2y+3=0$ 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 _______ ?

The slope formula is given by;

Any equation of first degree in x and y represents a;

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 $\tan{\theta}$=______;

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 a line parallel to y-axis is;

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;

Equation of hypotenuse $\overline{AB}$ of length $\sqrt{2}$ in isosceles $\triangle \, OAB$ is