H.C.F in these polynomial `y^2-ay-(a+1) and ay^2-y-(a+1)` .

The value of a which the polynomial y^(3)+ay^(2)-2y+a+4 in y has (y+a) as one of its factors is _______.

For the polynomial ay^2 -2y -6 if p(-3) = 15 , then find the value of a.

For what value of a, the HCF of y^(2) - 2y - 24 and y^(2) - ay - 6 is (y-6) ?

If the product of zeroes of polynomial f(y) =ay^3 - 6y^2 + 11y -6 is 4 then find the value of 'a'.

ax-ay=2;(a-1)x+(a+1)y=2(a^(2)+1)

If y= e^(ax) sin bx then show that, y_(2)- 2ay_(1) + (a^(2) + b^(2))y= 0

The value(s) of a for which two curves y=ax^(2)+ax+(1)/(24)andx=ay^(2)+ay+(1)/(24) touch each other is/are