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Byju's Answer

Standard XII

Mathematics

Expression 'S1'

Let A and B b...

Question

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:

$2$

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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 $y = 2 x^{2} + x - 2$ such that the origin is the midpoint of the line segment joining $A$ to $B$ . The length of $A B$ is:

Q. Points

A

and

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lies on the parabola

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

, such that origin is the mid-point of the segment

A B

. If

l

is the length of the line segment

A B

, then the value of

l^{2}

Q. Points A and B lie on the parabola

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

, such that origin is the mid-point of the line segment AB. If ‘l’ be the length of line segment AB, then find the unit digit of

l^{2}

.___

Q. Points

A

and

B

lie on the parabola

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

, such that origin is the mid-point of the segment

A B

. If

l

is the length of the line segment

A B

, then the value of

l^{2}

Q. Let

A B

be a line segment of length

4

units with

A

on line

y = 2 x

and

B

on the line

y = x,

the locus of middle points of all such line segments is a

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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:

The correct option is D 2√2

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:

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