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Directrix

Let A and B b...

Question

Let A and B be two points on the parabola $y = 2 x^{2} + x - 2$ such that the origin is the midpoint of the line segment joining $A$ to $B$ . The length of $A B$ is:

$2$

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$3$

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2 \sqrt{3}

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2 \sqrt{2}

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Solution

The correct option is D $2 \sqrt{2}$

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Similar questions

Let A and B be two points on the parabola y=2x²+x-2 such that the origin is the midpoint of the line segment joining A to B. The length of AB is:

y = 2 x^{2} + 4 x - 2

l^{2}

A

B

y = 2 x^{2} + 4 x - 2

A B

l

A B

l^{2}

A

B

y = 2 x^{2} + 4 x - 2

A B

l

A B

l^{2}

A B

4

A

y = 2 x

B

y = x,

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