Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The condition for two diameters of the hyperbola 
represented by Ax 2 + 2Hxy + By 2 = 0 to be conjugate is
Text Solution
Verified by ExpertsThe correct answer is:
C
Let the two diameters represented by Ax 2 + 2Hxy + By 2 = 0.
be y = mx and y = m'x.
The two diameters are conjugate,
∴ ∴ mm' = 
... (1)
Also m, m' are the roots of Bm 2 + 2Hm + A = 0
∴ ∴ mm' = A/B ... (2)
From (1) and (2), 
or Aa 2 = Bb 2 which is the required condition.
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