" 4."quad (ax+b)^(2)

If quad {(x,y):y^(2)=4ax}:B={(x,y):y^(2)=-4ax};c={(x,y):x^(2)=4ay} and D={(x,y):x^(2)=-4ay} Find the number of points in A nn B nn C nn D.

Differentiate the following w.r.t.x. sin^4 (ax + b)^2

Differentiate the following w.r.t.x : sin^(4)(ax+b)^(2)

Solve the equation for x : 4x^2 - 4ax + (a^2 -b^2) = 0.

If (1)/((ax+b)(cx+d))=(A)/(ax+b) + (B)/(cx+d) then show that (1)/((ax+b)^(2)(cx+d))=(A)/((ax+b)^(2))+(AB)/(ax+b)+(B^(2))/(cx+d) .

If (1)/((ax+b)(cx+d))+(A)/(ax+b) + (B)/(cx+d) then show that (1)/((ax+b)^(2)(cx+d))=(A)/((ax+b)^(2))+(AB)/(ax+b)+(B^(2))/(cx+d) .

If the quadratic equation ax^(2) + 2cx + b = 0 and ax^(2) + 2x + c = 0 ( b != c ) have a common root then a + 4b + 4c is equal to

If the quadratic equation ax^(2) + 2cx + b = 0 and ax^(2) + 2x + c = 0 ( b != c ) have a common root then a + 4b + 4c is equal to

If the equation ax^(2) + by^(2) + (a + b - 4) xy - ax - by - 20 = 0 represents a circle , then its radius is