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Q.

π=2xy+λ   z+4=0

           Column 1                                                                                                    Column 2 
A)The angle between the line x+11=y12=z22 and the plane π is sin-1(1/3)p)if λ=4
B)The plane π  passes through   the point λ,λ,4                                     q)if λ=5/3
C)The plane π  is perpendicular to the plane λx+yλz4=0          r)if λ=1
D)The plane  π makes an intercept of length 8 on z-axis    s)if λ=14

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a

A - q, B - p, C - r, D - s

b

A - s, B - r, C - q, D - p

c

A - q, B - r, C - p, D - s

d

A - p, B - q, C - r, D - s

answer is A.

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Detailed Solution

detailed_solution_thumbnail

(a)   n=i+2j+2k
       n=2ij+hk
sinθ=n¯.a¯n¯a¯

2h=h+5

h=53

(b)   Substitute the point

(c)    Use  a1a2+b1b2+c1c2=0

(d)  Convert plane in to 

x2+yy+z4h=1

4h=8

  h=14

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