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

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

if y = A sin(omega t - kx) , then the value of (dy)/(dx) is

Consider the expression (3)/(2)x^(2)y-(1)/(2)xy^(2)+6x^(2)y^(2) In the term -(1)/(2)xy^(2) , write down the numerical coefficient and the literal coefficient.

The value of k so that x^(2)+y^(2)+kx+4y+2=0 and 2(x^(2)+y^(2))-4x-3y+k=0 cut orthogonally, is

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

In the expression 3x^3-6x^2y+4xy-2x+y+6x+x^2y+9 , find for terms which are not constant the numerical coefficients and coefficient of y in terms involving Y.

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

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

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

Consider the expression (3)/(2)x^(2)y-(1)/(2)xy^(2)+6x^(2)y^(2) In the term -(1)/(2)xy^(2) , what is the coefficient of x ?