If $x cos A = 1$ and $y cos A = 1$ , then $x^{2} - y^{2} = 1$

True

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False

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Solution

The correct option is B False
$x cos A = 1$
$x = \frac{1}{cos A} ⟹ x^{2} = \frac{1}{{cos}^{2} A}$

$y cos A = 1$
$y = \frac{1}{cos A} ⟹ y^{2} = \frac{1}{c o s^{2} A}$

Hence, $x^{2} - y^{2} = 0$
Therefore, given statement is false.

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