Coordinate Geometry Question 52
Question: If the distance between the points $ (a,2) $ and $ (3,4) $ be 8, then $ a= $
[MNR 1978]
Options:
A) $ 2+3\sqrt{15} $
B) $ 2-3\sqrt{15} $
C) $ 2\pm 3\sqrt{15} $
D) $ 3\pm 2\sqrt{15} $
Show Answer
Answer:
Correct Answer: D
Solution:
$ {{(a-3)}^{2}}+{{(2-4)}^{2}}=8^{2}\Rightarrow {{(a-3)}^{2}}=60 $
$ \Rightarrow a-3=\pm 2\sqrt{15}\Rightarrow a=3\pm 2\sqrt{15} $ .
BETA
