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3D Geometry question

2013 · Shift 2 · Q23

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PYQ Library
JEE Advanced
Mathematics
3D Geometry
2013 · Shift 2 · Q23

3D Geometry question

2013 · Shift 2 · Q23

JEE AdvancedMathematics3D GeometryMCQ+4 / −1

Consider the lines

{L_1}:{{x - 1} \over 2} = {y \over { - 1}} = {{z + 3} \over 1},{L_2} : {{x - 4} \over 1} = {{y + 3} \over 1} = {{z + 3} \over 2}

and the planes

{P_1}:7x + y + 2z = 3,{P_2} = 3x + 5y - 6z = 4.

Let

ax+by+cz=d

be the equation of the plane passing through the point of intersection of lines

{L_1}

and

{L_2},

and perpendicular to planes

{P_1}

and

{P_2}.

Match List

I

with List

II

and select the correct answer using the code given below the lists: List

I

(P.)

a=

(Q.)

b=

(R.)

c=

(S.)

d=

List

II

(1.)

13

(2.)

-3

(3.)

1

(4.)

-2

A
$P = 3,Q = 2,R = 4,S = 1$
B
$P = 1,Q = 3,R = 4,S = 2$
C
$P = 3,Q = 2,R = 1,S = 4$
D
$P = 2,Q = 4,R = 1,S = 3$

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