The expression `(x+2y)^20` contains two terms with same coefficient of the form `kx^ay^b` and `kx^(a+1)y^(b-1)`, then the value of `a` is?

If x+1 is a factor of the polynomial 2x^(2)+kx, then the value of k is

If the line x + y = 1 touches the parabola y^(2) = kx , then the value of k is

If 1 is a common root of the equations ay^2+ay+3=0 and y^2+y+b=0 ,then find the value of ab.

(7532+100y^2) + 10(10y^2 -110) The expression above can be written in the form ay^2 + b , where a and b are constants. What is the value of a + b ?

If the sum of the coefficients in the expansion of (b + c)^(20) {1 +(a -2) x}^(20) is equal to square of the sum of the coefficients in the expansion of [2 bcx - (b + c)y]^(10) , where a, b, c are positive constants, then

If the lines y=x+1 , y=2x and y=kx+3 are concurrent find the value of 'k' .

Identify the terms, their coefficients for each of the following expressions: 3x^2y^2-5x^2y^2z^2+z^2 (ii) 9-a b+b c-c a

The parabolas y=x^2-9" and "y=kx^2 intersect at points A and B. If length AB is equal to 2a, then the value of k is:

If h(x)=2^(kx-1) , what is the value of (h(a)h(b))/(h(a+b)) ?

Identify the terms, their coefficients for each of the following expressions: (i) 7x^2y z-5x y (ii) x^2+x+1