Question 1 :
If the straight line passing through the points $(h,3)$ and $(4,1)$ intersects the line $7x-9y-19=0$ at right angle, then find the value of $h$.
Question 2 :
Which of the following lines is parallel to the line $3x - 2y + 6 = 0$?
Question 3 :
If the area of the triangle formed by the points $(-2,3), (4,-5)$ and $(-3,y)$ is 10 square units then $y =$
Question 4 :
Gradient of a line perpendicular to the line 3x - 2y = 5 is
Question 5 :
Two lines are given by $(x-2y)^2 + k (x -2y) = 0$. The value of $k$ so that distance between them is $3$, is
Question 6 :
Find the area of the triangle whose vertices are $(3,2), \ (-2, -3)$ and $(2,3)$.<br/>
Question 7 :
The area of a triangle with vertices $A (3, 0), B (7, 0)$ and $C (8, 4)$ is<br/>
Question 8 :
If the two straight lines, $y\, =\, m_1x + c_1$ and $y\, =\, m_2x + c_2$ are perpendicular to each other, then $m_1m_2\, =$ ____
Question 9 :
If coordinates of P,Q, and R are (3,6),(-1,3) and (2,-1) respectively. Then area of $\displaystyle \triangle PQR$ is ____ square units.
Question 10 :
What is the equation of a line that is parallel to y = -4 and passes through the point (3,7)?
Question 11 :
The graphs of the two linear equations ax + by = c and bx - ay = c, where a, b and c are all not equal to zero, <span><br/></span>
Question 12 :
The equation of the straight line which is perpendicular to $7x - 8y = 6$ and passing through $(-4,5)$ is<br/>
Question 13 :
A line passes through a point $(2,5)$ and has a slope of $-3$. What is the equation of a line perpendicular to this line through $(2,5)$? 
Question 14 :
The slope of a straight line passing through A( -2, 3) is -4/3. The points on the line that are 10 units away from A are <span><br></span>
Question 15 :
Slope of the line perpendicular to the line with equation $y=6x+7$ is _____
Question 16 :
A straight line is drawn through the point $p\ (2,3)$ and is inclined at an angle of $30^{o}$ with the $x-$axis, the co-ordinates of two points on it at a distance of $4$ from $p$ is/are
Question 17 :
$L, M$ and $N$ are the midpoints of the sides $BC, CA$ and $AB$ respectively of triangle $ABC$. If the vertices are $A(3,-4), B(5,-2)$ and $C(1,3)$ the area of $\displaystyle \triangle LMN$ is ____ square units.
Question 18 :
lf the line joining the points $(\mathrm{a}\mathrm{t}_{1}^{2},2\mathrm{a}\mathrm{t}_{1}),(\mathrm{a}\mathrm{t}_{2}^{2},\ 2\mathrm{a}\mathrm{t}_{2})$ is parallel to $\mathrm{y}=\mathrm{x},$ then $\mathrm{t}_{1}+\mathrm{t}_{2}=$ <br/>
Question 19 :
if the lines $y = \,(2 + \sqrt {3)} x + 4\,and\,y = kx + 6$ are inclined at an angle ${60^ \circ }$ to each other, then 11 th value of k will be
Question 20 :
Find the equation of the line that passes through the points $(-1,0)$ and $(-4,12)$
Question 21 :
The centroid and two vertices of a triangles are (4,-8), (-9,7), (1,4) then the area of the triangle is