Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 7x 2 + pxy + qy 2 + rx – sy + t = 0 is the eqaution of the hyperbola whose one focus is (–1, 1), eccentricity = 3 and the equation of the corresponding directrix is x – y + 3 = 0, then the value of 't' is
Text Solution
Verified by ExpertsThe correct answer is:
77
(77)
Sol. Let P(x, y) be any point on the hyperbola
Then by focus directrix property 
= e = 3
∴ 
= 3 or (x + 1) 2 + (y – 1) 2 = 9 · 
or 7x 2 – 18xy + 7y 2 + 50x – 50y + 77 = 0
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