The lines tangent to the curve x3+2y3+3x2y−2yx2+3x−2y=0 and x7−y4+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 Dπ2 Equation of tangent to x3+2y3+3x2y−2yx2+3x−2y=0 at origin is 3x−2y=0 and for x7−y4+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.