Question

Let f, g and h are quadratic polynomials such that f(x) f(x + 1) = g(h(x)). If r1, s1 are roots of f(x) = 0, r2, s2
are roots of g(x) = 0 and r3, s3 are roots of h(x)=0 then which of the following is/are true ?
(B) r1 + s1= r3 + s3
(D) r1s1= r3s3
(A) r1 + s1 = r2 + s2
(C) r1s1 = r2s2​

Answer 1

Answer:

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Question From class 12 Chapter THEORY OF EQUATIONS

Let

, and

be the quadratic polynomials having positive leading coefficients and real and distinct roots. If each pair of them has a common root, then find the roots of

.

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Text Solution

Solution :

Let

<br>

<br> and

<br> where

are positive. <br> Let

<br>

<br>

<br>

<br>

<br> So, roots of