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Definition of Functions

x,y satisfies...

Question

$(x, y)$ satisfies the given set of the equations , find the value of $x^{2}$ .
$x^{2} + y^{2} = 153$ and $y = - 4 x$

- 51

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3

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9

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144

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Solution

The correct option is C $9$
Let $x^{2} + y^{2} = 153$ .......(1)
and $y = - 4 x$ ......(2)
Put the value $y = - 4 x$ in equation (1), we get
$x^{2} + (- 4 x)^{2} = 153$
$\Rightarrow x^{2} + 16 x^{2} = 153$
$\Rightarrow 17 x^{2} = 153$
$\Rightarrow x^{2} = 9$

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