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Questions  

The angle between the pair of lines cos2θx2+2xysinθ+sin2θ1=0 is

a
π2
b
π3
c
π
d
π4

detailed solution

Correct option is A

The condition that two lines represented by the equation ax2+2hxy+by2=0 are to be perpendicular is  a+b=0For the equation cos2θx2+2xysinθ+sin2θ−1=0 , the values a=cos2θ,b=sin2θ−1Consider a+b=cos2θ+sin2θ−1=1−1=0Since, a+b=0 , the angle between the lines is π2.

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