24
MCQ (Single Correct Answer)
The equation of the straight line passing through the point $(3,2)$ and perpendicular to the line $y=x$ is
A
$x-y=5$
B
$x+y=5$
C
$x+y=1$
D
$x-y=1$
25
MCQ (Single Correct Answer)
The equation of the line passing through the point $(1,2)$ and perpendicular to the line $x+y+1=0$ is
A
$y-x+1=0$
B
$y-x-1=0$
C
$y-x+2=0$
D
$y-x-2=0$
26
MCQ (Single Correct Answer)
The tangent of angle between the lines whose intercepts on the axes are $a,-b$ and $b,-a$ respectively, is
A
$\frac{a^2-b^2}{a b}$
B
$\frac{b^2-a^2}{2}$
C
$\frac{b^2-a^2}{2 a b}$
D
None of these
27
MCQ (Single Correct Answer)
If the line $\frac{x}{a}+\frac{y}{b}=1$ passes through the points $(2,-3)$ and $(4,-5)$, then $(a, b)$ is
A
$(1,1)$
B
$(-1,1)$
C
$(1,-1)$
D
$(-1,-1)$
28
MCQ (Single Correct Answer)
The distance of the point of intersection of the lines $2 x-3 y+5=0$ and $3 x+4 y=0$ from the line $5 x-2 y=0$ is
A
$\frac{130}{17 \sqrt{29}}$
B
$\frac{13}{7 \sqrt{29}}$
C
$\frac{130}{7}$
D
None of these