If p is selected from the interval [0,5], then the probability that th

1.	If p is selected from the interval [0,5], then the probability that the equation 4x2 + 4px + (p + 2) = 0 has real roots(a) 1/2(b) 1/4(c) 3/5(d) 2/5
Answer» Correct option (c) 3/5 Explanation: For real roots, D ≥ 0 ⇒ p²– p – 2 ≥ 0 ⇒ p ≤ –1 p ≥ 2 ∴ p ∈ [2,5] but p ∈ [0,5] ∴ required probability = 5 -2/5 - 0 = 3/5

If p is selected from the interval [0,5], then the probability that the equation 4x2 + 4px + (p + 2) = 0 has real roots(a) 1/2(b) 1/4(c) 3/5(d) 2/5

Answer»

Correct option (c) 3/5

Explanation:

For real roots, D ≥ 0

⇒ p²– p – 2 ≥ 0

⇒ p ≤ –1 p ≥ 2

∴ p ∈ [2,5] but p ∈ [0,5]

∴ required probability = 5 -2/5 - 0 = 3/5

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If p is selected from the interval [0,5], then the probability that the equation 4x2 + 4px + (p + 2) = 0 has real roots(a) 1/2(b) 1/4(c) 3/5(d) 2/5

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