If `p,q,r` are in A.P. Write the value of :
`|{:(x+1,x+2,x+p),(x+2,x+3,x+q),(x+3,x+4,x+r):}|`

Suppose a,b,c are in A.P if p,q,r are also in A.P., then value of Delta=|(x^(2)+a,x+p,c),(x^(2)+b,x+q,b),(x^(2)+c,x+r,a)| is dependent on

If p,q,r are in A.P. while x,y,z are in G.P., prove that x^(q-r)y^(r-p)z^(p-q)=1

If p(x) ,q(x) and r(x) and three polynomials of degree 2, then |{:(p(x),q(x),r(x)),(p'(x),q'(x),r'(x)),(p''(x),q''(x),r''(x)):}| is ………….of x .

If p(x) = x^3+3 and q(x)= x-3 then find the value of p(x).q(x)

If p, q, r are in G.P. and the equations, p x^2+2q x+r=0 and dx^2+2e x+f=0 have a common root, then show that d/p ,e/q ,f/r are in A.P.

{:(2x + 3y = 9),((p + q)x + (2p - q)y = 3(p + q+ 1)):}

suppose x1,x2 are the roots of the equation ax^2+bx+c=0 and x3 and x4 are the roots of the equation px^2+qx+r=0 If a, b, c are in G.P. as well as x_1, x_2, x_3, x_4 are in G.P., then p, q, r are in (i) A.P (ii)G.P (iii)H.P (iv)A.G.P