26. If the roots of the equations ax² + 2bx + c = 0 and bx² – 2√ac x + b = 0 are simultaneously real, then(a) b = ac(b) b2 = ac(c) a2 = be(d) c2 = ab
Harshit Singh , 3 Years ago
Grade 12th pass
1 Answers
Pawan Prajapati
Last Activity: 3 Years ago
Answer: b
Explaination:Reason: Given equations have real roots, then
D1 ≥ 0 and D2 ≥ 0
(2b)² – 4ac > 0 and (-2√ac)² – 4b.b ≥ 0
4b² – 4ac ≥ 0 and 4ac – 4b2 > 0
b² ≥ ac and ac ≥ b²
⇒ b² = ac
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