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Question

Family of curves which makes an angle π4 whith the family of hyperbola xy = C2 is


A

x2 – 4xy – y2 = k

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B

x2 + 2xy – y2 = k

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C

x2 – 2xy – y2 = k

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D

x2 + xy – y2 = k

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Solution

The correct options are
B

x2 + 2xy – y2 = k


C

x2 – 2xy – y2 = k


xy=c2dydx=m1=yxm2=dydx∣ ∣dydx+yx1(dydx)(yx)∣ ∣=1x2+2xyy2=k(or)x22xyy2=k


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