If `ay ^(4) = (x+ b) ^(5)` then `5 y y_(2)=`

If ay^(4)=(x+b)^(5) then show that 5yy''=(y')^(2).

If x ^(2) - 2x ^(2) y ^(2) + 5x + y-5 =0 and y (1) then y '' (1)=

If (x_(1), y_(1)) and (x_(2), y_(2)) are the end points of a focal chord of the parabola y^(2) = 5x , then 4x_(1)x_(2) + y_(1)y_(2) =

(4x + 5y) (4x - 5y) = ____

If y=(2x+3)/(4x+5) then find y'' .

The radical axis of circles x^(2) + y^(2) + 5x + 4y - 5 = 0 and x^(2) + y^(2) - 3x + 5y - 6 = 0 is

If A = 3y^(2) + 4x - 5x^(2), B = x^(2) - 3y^(2) and C = 6x^(2) - 4xy then find A + B - C

If A = 3y^(2) + 4x - 5x^(2), B = x^(2) -3 y^(2) and C = 6x^(2) - 4xy then find B - C