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If ℓ, m, n are real, ℓ ≠ m, then the roots by the equation: (ℓ – m)x2 – 5 (ℓ + m) x – 2 (ℓ – m) = 0 are (1979)
  • a)
    Real and equal
  • b)
    Complex
  • c)
    Real and unequal
  • d)
    None of these.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If , m, n are real, ≠ m, then the roots by the equation: (– ...
ℓ, m, n are real, ℓ ≠ m
Given equation is
(ℓ - m) x 2 - 5(ℓ + m) x - 2(ℓ -m)= 0
D = 25(ℓ + m)2 + 8(ℓ - m)2 > 0,ℓ, m∈R
∴ Roots are real and unequal.
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If , m, n are real, ≠ m, then the roots by the equation: (– m)x2 – 5 (+ m) x – 2 (– m) = 0 are (1979)a)Real and equalb)Complexc)Real and unequald)None of these.Correct answer is option 'C'. Can you explain this answer?
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