1
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

Let the equation of the pair of lines $$y=p x$$ and $$y=q x$$ can be written as $$(y-p x)(y-q x)=0$$. Then the equation of the pair of the angle bisectors of the line $$x^2-4 x y-5 y^2=0$$ is

A
$$x^2-3 x y+y^2=0$$
B
$$x^2+4 x y-y^2=0$$
C
$$x^2+3 x y-y^2=0$$
D
$$x^2-3 x y-y^2=0$$
2
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

The distance of the point $$(1,2)$$ from the line $$x+y+2=0$$ measured along the line parallel to $$2 x-y=5$$ is equal to

A
$$\frac{125}{3}$$
B
$$\frac{125}{\sqrt{3}}$$
C
$$\frac{5 \sqrt{5}}{3}$$
D
$$\frac{5 \sqrt{3}}{3}$$
3
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

The slope of lines which makes an angle 45$$^\circ$$ with the line $$2x-y=-7$$

A
$$\frac{1}{3},-3$$
B
$$-1,1$$
C
$$3,\frac{-1}{3}$$
D
$$1,\frac{1}{3}$$
4
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

If 2 and 3 are intercepts of a line L = 0, then the distance of L $$\equiv$$ 0 from the origin is

A
$${5 \over {\sqrt {13} }}$$
B
$${{\sqrt {13} } \over 6}$$
C
$${6 \over {\sqrt {13} }}$$
D
1
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