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B
Touch each other
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C
Cut at an angle π/3
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D
Cut at an angle π/4
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Solution
The correct option is A
Cut at right angles
x3−3xy2+2=0...(1)3x2y−y3−2=0...(2) On differentiating equations (1) and (2) w.r.t x, we obtain (dydx)c1=x2−y22xyand(dydx)c2=−2xyx2−y2 Since m1.m2=−1.Therefore the two curves cut at right angles. Hence (a) is the correct answer.