A) 1/9
B) 1/3
C) 3
D) 18
E) 9
Correct Answer: E
Solution :
Slope of 1st curve \[{{\left( \frac{dy}{dx} \right)}_{I}}=-\frac{4x}{py}\] Slope of 2nd curve \[{{\left( \frac{dy}{dx} \right)}_{II}}=\frac{x}{4y}\] For orthogonal intersection \[\left( -\frac{4x}{py} \right)\,\left( \frac{x}{4y} \right)=-1\] Þ \[{{x}^{2}}=p{{y}^{2}}\] On solving equations of given curves \[x=3\], \[y=1\] \ \[p(1)={{(3)}^{2}}=9\] Þ \[p=9\].You need to login to perform this action.
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