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Question

The lines tangent to the curve x3+2y3+3x2y2yx2+3x2y=0 and x7y4+2x+3y=0 at the origin intersect at an angle θ, then the value of θ is equal to

A
π6
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B
π4
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C
π3
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D
π2
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Solution

The correct option is D π2
Equation of tangent to x3+2y3+3x2y2yx2+3x2y=0 at origin is 3x2y=0 and for x7y4+2x+3y=0 is 2x+3y=0
The product of their slopes is 1.
Hence, these lines are perpendicular and angle between them is π2.

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