the angle of intersection between the curves y^2+x^2=a^2√2 and x^2-y^2=a^2 is
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xy=a2 and x2−y2=a2
⇒xdxdy+y=0 and 2x−2ydxdy=0
⇒dxdy=−xy and dxdy=yx
∴(dxdy)1=−xy and (dxdy)2=yx
⇒(dxdy)1×(dxdy)2=−xy×y
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