Q.

If α,β be the roots of the quadratic equation ax2+bx+c=0 and k be a real number, then the condition so that α

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a

ac>0

b

ak2+bk+c=0

c

ac<0

d

a2k2+abk+ac<0

answer is D.

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Detailed Solution

Here ax2+bx+c=a(x-α)(x-β)Since α,β be the roots of ax2+bx+c=0.Also α
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If α,β be the roots of the quadratic equation ax2+bx+c=0 and k be a real number, then the condition so that α