31
MCQ (Single Correct Answer)
The distance between the lines $y=m x+c_1$ and $y=m x+c_2$ is
A
$\frac{c_1-c_2}{\sqrt{m^2+1}}$
B
$\frac{\left|c_1-c_2\right|}{\sqrt{1+m^2}}$
C
$\frac{c_2-c_1}{\sqrt{1+m^2}}$
D
0
32
MCQ (Single Correct Answer)
The coordinates of the foot of perpendiculars from the point $(2,3)$ on the line $y=3 x+4$ is given by
A
$\left(\frac{37}{10}, \frac{-1}{10}\right)$
B
$\left(-\frac{1}{10}, \frac{37}{10}\right)$
C
$\left(\frac{10}{37},-10\right)$
D
$\left(\frac{2}{3},-\frac{1}{3}\right)$
33
MCQ (Single Correct Answer)
If the coordinates of the middle point of the portion of a line intercepted between the coordinate axes is $(3,2)$, then the equation of the line will be
A
$2 x+3 y=12$
B
$3 x+2 y=12$
C
$4 x-3 y=6$
D
$5 x-2 y=10$
34
MCQ (Single Correct Answer)
Equation of the line passing through $(1,2)$ and parallel to the line $y=3 x-1$ is
A
$y+2=x+1$
B
$y+2=3(x+1)$
C
$y-2=3(x-1)$
D
$y-2=x-1$
35
MCQ (Single Correct Answer)
Equations of diagonals of the square formed by the lines $x=0, y=0, x=1$ and $y=1$ are
A
$y=x, y+x=1$
B
$y=x, x+y=2$
C
$2 y=x, y+x=\frac{1}{3}$
D
$y=2 x, y+2 x=1$