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22
MCQ (Single Correct Answer)

A line cutting off intercept -3 from the $Y$-axis and the tangent at angle to the $X$-axis is $\frac{3}{5}$, its equation is

A
$5 y-3 x+15=0$
B
$3 y-5 x+15=0$
C
$5 y-3 x-15=0$
D
None of the above
23
MCQ (Single Correct Answer)

Slope of a line which cuts off intercepts of equal lengths on the axes is

A
$-$1
B
0
C
2
D
$\sqrt{3}$
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