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Multiple Choice Questions

Find the value of lambda for which the equation lambda 2 x sup2 8x lambda 4 has real roots ...........

Quantitative Aptitude (CDS) Quadratic Equations

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Find the value of λ for which the equation (λ-2)x²+8x+λ= -4 has real roots.

λ ∈(-6 ,4 ) – { 0 }

λ ∈(-∞ ,4 ]

λ ∈(-6 ,4 )

λ ∈[-6 ,4 ]

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Explanation:

condition for non-real roots D ≥ 0
b² - 4ac ≥ 0
8²-4.(λ- 2).(λ+4) ≥0
64- 4(λ²+2λ-8) ≥0
16-(λ²+2λ-8)≥0
λ²+2λ-24 ≤0
(λ-4).(λ+6) ≤0
λ ∈[-6 ,4 ]

By: bhavesh kumar singh

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