Concept: The question tests on the application of coordinate geometry

Solution:
 

A NEW OG 2021 QUESTION

First, find the distance between (4,5) representing (x1,y1) and (0,0) representing (x2,y2) using the distance formula

(Distance b/w (x1,y1) and (x2,y2) ) = √(x2-x1)^2 + (y2-y1)^2 )

=√(4-0)^2 + (5-0)^2 = √4^2+ 5^2

=√41

Now check the options

Option A - Distance b/w (−3,2) and (−7,8) using the distance formula = √(−7+3)^2+(8−2)^2

= √(-4)^2 + (6)^2 = √16 + 36 and is not equal to √41

Option B- Distance b/w (−2,1) and (3,5) using the distance formula = √(3−(−2))^2+(5−1)^2

= √25+16 = √41 and is EQUAL to the distance b/w points (4,5) and (0,0) as calculated above.

Option(b)