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Q.

The equation of the plane containing the line of intersection of the planes 2xy=0 and y3z=0  and perpendicular to the plane 4x+5y3z8=0 

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a

28x17y+9z=0

b

28x+17y+9z=0

c

7x3y+z=0

d

28x17y+9x=0

answer is A.

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Detailed Solution

Equation of plane containing the line of intersection of planes is,  (2xy)+λ(y3z)=0 ... (i)

Also, plane (i) is perpendicular to  4x+5y3z8=0

 4(2)+5(λ1)3(3λ)=0 14λ=3λ=314

Put the value of λ in (i), we get 28x17y+9z=0,  , which is the required plane. 

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