Which of the following gives the relation between x and y such that the point (x, y) is equidistant from the point (3, 6) and (– 3, 4)?

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

3x - 2y +5 =0

3x + 2y -5 =0

3x + y -5 =0

3x - y +5 =0

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

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

Take Free Test

Detailed Solution

Given that the point (x, y) is equidistant from the point (3, 6) and (– 3, 4).
Let the points be A(3,6), B(-3,4) and P(x, y).
We know that the distance between 2 points

(x 1, y 1), (x 2, y 2)

is given by

D = (x 2 − x 1) 2 + (y 2 − y 1) 2

Using distance formula between AP,
AP =

= (x − 3) 2 + (y − 6) 2 … … … (1)

For distance BP,
BP =

= (x − (− 3)) 2 + (y − 4) 2 ............ (2)

Given that AP = BP. So,
Question Image

The relation between x and y is given by the equation 3x + y -5 =0.
Therefore, the correct option is 3.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

How to Join IIT after 10th