If the equation $x^{2} + p x + q = 0$ and $x^{2} + q x + p = 0$ have exactly one root in common, then equation with other roots is

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Solution

The correct option is B

Common root is 1. Other roots are q & p.

The required equation is $x^{2} - (p + q) x + p q = 0$

$\Rightarrow$ $x^{2} + x + p q = 0$

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If the equation x2+px+q=0 and x2+qx+p=0 have exactly one root in common, then equation with other roots is

The correct option is B Common root is 1. Other roots are q & p. The required equation is x2−(p+q)x+pq=0 ⇒ x2+x+pq=0

If the equation $x^{2} + p x + q = 0$ and $x^{2} + q x + p = 0$ have exactly one root in common, then equation with other roots is

The correct option is B

Common root is 1. Other roots are q & p.

The required equation is $x^{2} - (p + q) x + p q = 0$

$\Rightarrow$ $x^{2} + x + p q = 0$