Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The hyperbola 
passes through the point of intersection of the lines, 7x + 13y − 87 = 0 & 5x − 8y + 7 = 0 & the latus rectum is 32 
/5 . The value of 2(a 2 + b 2 ) is :
Text Solution
Verified by ExpertsThe correct answer is:
57
(57)
Sol. 7x + 13y – 87 = 0 ⇒ 5x – 8y + 7 = 0
On solving we get (5,4)
Now let hyperbola 
Passes (5,4) ∴ 
= 1 . .....(i)
Also, 
= 
....(ii)
By (i), (ii) we get a 2 = 
, b 2 = 16.
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