The correct statement about the roots of the equation $x^{2}$ - 2ax - $b^{2} = 0$ is

Real and equal

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Real and opposite in sign

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Imaginary

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Real and same in sign

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Solution

The correct option is B
Real and opposite in sign

Discriminant = $4 (- 2 a)^{2}$ + 4 $b^{2} = 16 a^{2} + 4 b^{2} △ \geq 0$
$\Rightarrow$ Real Product of the roots = $- b^{2}$
= -ve
$\Rightarrow$ Roots are opposite in sign

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The correct statement about the roots of the equation x2 - 2ax - b2=0 is

The correct option is B Real and opposite in sign Discriminant = 4(−2a)2 + 4 b2=16a2+4b2 △≥0 ⇒ Real Product of the roots = −b2 = -ve ⇒ Roots are opposite in sign

The correct statement about the roots of the equation $x^{2}$ - 2ax - $b^{2} = 0$ is

The correct option is B
Real and opposite in sign

Discriminant = $4 (- 2 a)^{2}$ + 4 $b^{2} = 16 a^{2} + 4 b^{2} △ \geq 0$
$\Rightarrow$ Real Product of the roots = $- b^{2}$
= -ve
$\Rightarrow$ Roots are opposite in sign