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Real Valued Functions

The number of...

Question

The number of distinct points common to the graphs of $x^{2} + y^{2} = 4$ and $y^{2} = 4$ is

A

0

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B

1

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C

2

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D

3

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E

4

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Solution

The correct option is D 2
The graphs are $x^{2} + + y^{2} = 4$ and $y^{2} = 4$
$\Rightarrow x^{2} + 4 = 4$
$\Rightarrow x^{2} = 0$
$\Rightarrow x = 0$
Therefore $y = \pm 2$
Therefore, the points common to both are $(0, 2), (0, - 2)$ .
The number of points is $2$ .

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