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CGP EDU Academic Team
Published on: August 12, 2026
If ( λ λ - 2) x 2 + λ λ y 2 = 4 represents a rectangular hyperbola then λ λ equals:
Text Solution
Verified by ExpertsThe correct answer is:
C
Condition for rectangular hyperbola
Δ Δ ≠ ≠ 0, ( λ λ - 2) λ λ ≠ ≠ 0 ⇒ ⇒ λ λ ≠ ≠ 2, λ λ ≠ ≠ 0
h 2 > ab ⇒ ⇒ λ λ ( λ λ - 2) < 0 0 < λ λ < 2
coefficient of x 2 + coefficient of y 2 0.
⇒ ⇒ λ λ - 2 + λ λ = 0
λ λ = 1.
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