Question

Find the value of p for when the curves x2=9p(9-y) and x2=p(y+1) cut each other at right angles

Answer 1

Solution:


Given:


x² = 9p(9-y),..(i)


x²=p(y+1)..(ii)

hence,.

=>9p(9-y) =p(y+1)


=> 9(9-y)=y+1


=>81-9y=y+1


=>0=y+1-81+9y


=>0=10y-80


=> -10y=-80


=> y=8,.....(iii)


(i)=> x²=9p(9-y)


=>x²=9p(9-8)


=>x²=9p...(iv)


=>$( \frac{x}{3} )^{2} = p$

                         Hope it Helps,.