Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If on a given base triangle b be described such that the sum of the tangents of the base angles is constant (k), then the locus of third vertex is -
Text Solution
Verified by ExpertsThe correct answer is:
D
Let AB is the given base.
tan A + tan B = k
tan A = 
, tan B = 
Now, 
– 
= k
⇒ –a β = k ( α 2 – a α )
⇒ x 2 = – 
y + ax
Which is equation of a parabola
Hence is correct answer.
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