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Q.

Angle between the two planes of which one plane is 4x+y+3z=0 and another plane  containing the lines x−32=y−23=z−13,x−23=y−32=z−23 is

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a

π3

b

π2

c

π6

d

2π3

answer is B.

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Detailed Solution

Angle between the planes cos⁡θ=a1a2+b1b2+c1c2∑a12∑a22Equation of the plane containing the lines ​x−32=y−23=z−13,x−23=y−32=z−23      is​                          x−3y−2z−1233323=0​⇒3x−3+3y−2−5z−1=0​⇒3x+3y−5z−10=0​∴cosθ=12+3−152222=0⇒θ=π2
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