You visited us 8 times! Enjoying our articles? Unlock Full Access!

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:

$2$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$3$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 \sqrt{3}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 \sqrt{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

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

Suggest Corrections

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

B

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

Join BYJU'S Learning Program

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 $2 \sqrt{2}$