Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If (x 1 , y 1 ) is a point on the hyperbola 
– 
= 1 in the first quadrant whose distance from right focus is 
then (x 1 + y 1 ) must be
A
B
C
D
–7
Text Solution
Verified by ExpertsThe correct answer is:
A
– 
= 1 …(1)
e = 
= 
Now,
PS = e.PM = e(NQ)
= e (CN – CQ) = e(x 1 – a/e)
= ex 1 – a = 
⇒ 
x 1 – 8 = 
⇒ x 1 = 10
By (1) ⇒ y 1 = ± 
y > 0
∴ y 1 = 
∴ (x 1 + y 1 ) = 10 + 
= 
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