Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Consider the hyperbola 
the area of the triangle formed by the asymptotes and the tangent drawn to it at (a, 0) is
Text Solution
Verified by ExpertsThe correct answer is:
B
Equation of tangent at (a, 0) is x = a and the point of intersection of x = a and the asymptotes will be obtained by solving x = a and equation of asymptotes bx + ay = 0.
∴ ∴ ab ± ± ay = 0
⇒ ⇒ y = ± ± b
Now points of intersection are (a, b) and (a, -b)
∴ ∴ area of triangle = 
sq.unit.
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