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Formation of Algebraic Expressions

x2+y2=5if x...

Question

$x^{2} + y^{2} = 5$
if $x = 1$ find $y$

A

4

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B

3

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C

2

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D

1

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Solution

The correct option is C 2
$x = 1 x^{2} + y^{2} = 5 1^{2} + y^{2} = 5 y^{2} = 5 - 1 y^{2} = 4 y = 2$

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Similar questions

x = \frac{\sqrt{5} + 1}{\sqrt{5} - 1}, y = \frac{\sqrt{5} - 1}{\sqrt{5} + 1}

x^{2} + x y + y^{2}

x = \frac{\sqrt{5} + 1}{\sqrt{5} - 1}

y = \frac{\sqrt{5} - 1}{\sqrt{5} + 1}

find the value of

x^{2} + y^{2} + 2 x y

y \sqrt{1 - x^{2}} + x \sqrt{1 - y^{2}} = 1

\frac{d y}{d x} = - m \sqrt{\frac{1 - y^{2}}{1 - x^{2}}}

m

(x + y) : (x - y) = 4 : 1

, then find the ratio

(x^{2} + y^{2}) : (x^{2} - y^{2})

.

x^{2} + y^{2} - x y = 3

y - x = 1

\frac{x y}{x^{2} + y^{2}}

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