Equation of the tangent to the parabola $y^{2} = 4 x + 5$ which is parallel to the line $y = 2 x + 7$ is

y = 2 x + 3

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y = 2 x - 3

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y = 2 x + 5

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y = 2 x 5

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Solution

The correct option is A $y = 2 x + 3$
$2 y^{'} y = 2$
$y^{'} = 2$
$\frac{2}{y} = 2$
$y = 1$
$x = - 1$
$(y - 1) = 2 (x + 1)$
$y = 2 x + 3$

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Similar questions

y^{2} = 4 x + 5

y = 2 x + 7.

y^{2} = 4 x + 5

y = 2 x + 7

y = 2 x^{2} + 7

4 x - y + 3 = 0

y = x^{2} - 2 x + 5

x_{1} = 1, x_{2} = 3

y^{2} = 4 x

2 x - y = 3

y

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