If `(x^p+y^p)/(x^(p-1)+y^(p-1))` be the A.M. between `x` and` y` then find the value of` p.`

If p(y) =y(y-1)(y+2) then find the value of p(0)+p(1)+p(-2)

If (p+1) x+y=3 and 3y - (p-1)x=4 are perpendicular to each other, find the vlaue of p.

If x is the A.M. between a and b, y is the A.M. between b and c, while a, b, c are in G.P., then 1/x + 1/y =

If x= 3p and y=(2p)/5+1 , then find the value of p for which x = 5y.

If x=(sin p)/(cos^(2)p),y=(cos p)/(sin^(2)p) and sin p+cos p=(1)/(2) ,then find the value of (44)/((x+y))

IF 2y-p^2 x=3 and 2y-(4px+1)=0 are parallel find the value of p.

If y=(a x-b)/((x-1)(x-4)) has a turning point P(2,\ -1) , find the values of a and b and show that y is maximum at P .

If y+ (2p + 1) x + 3=0 and 8y- (2p-1)x=5 are mutually perpendicular, find the value of p.

If x,y,z be three numbers in G.P. such that 4 is the A.M. between x and y and 9 is the H.M. between y and z , then y is