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Q.

Observe the following lists:

List-I                                                                                        List-II

A) The length of the perpendicular from                        1) 5,-3,3

0,0,0 to the plane 2x+3y+λz=1λ>0

B) The D.C's of the normal to the plane                           2) -7/5

5x-2=3y-z are proportional to

C) If the line x-11=y+1-2=z+1λ                            3) 23

lies in the plane 3x-2y+5z=0, then λ is

Match List I to List II:

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a

A     B     C

3     1     2

b

A      B     C

3      2     1

c

A     B     C

2     1     3

d

A     B     C

2     3     1

answer is D.

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Detailed Solution

|c|a2+b2+c2=15|-1|4+9+λ2=15λ=23

dcg are praportional to (5, -3, 3) and λ=-75

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