AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Find the point which lies on the perpendicular bisector of the line segment joining the points $A (- 2, - 5)$ and $B (2, 5)$ .

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

(1,2)

(0,0)

(1,2)

(1,3)

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given points are

A (- 2, - 5) and B (2, 5)

.
We have to find out the point which lies on the perpendicular bisector of the line segment joining the points

A (- 2, - 5) and B (2, 5)

.
Let the perpendicular bisector of the line segment goes through the point

(x, y)

.
We know that, the perpendicular bisects of the line always pass through the mid-point of the line segment, so we can say that

(x, y)

will be the mid-point of points

A (- 2, - 5)

and

B (2, 5)

.
Now,
We know that if the coordinates of two points are

x 1, y 1

and

x 2, y 2

then coordinate of the midpoint of the two points will be

x 1 + x 2 2, y 1 + y 2 2

.
Then, the coordinates of the point lie on the perpendicular bisects on the line segment joining the points

A (- 2, - 5) and B (2, 5)

(x, y) = − 2 + 2 2, − 5 + 5 2 ⇒ (x, y) = (0, 0)

∴

The point is (0,0).
Hence, option (2) is correct.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!