1.

Find the value of p for which the curves22 9p (9other at right angles.y) and xpy +1) cut each14]

Answer»

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)

=>>p=(x/3)*(x/3)



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