Q.

If a,b,c∈R and abc < 0, then the equation bcx2+2(b+c−a)x+a=0 has

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a

both positive roots

b

both negative roots

c

real roots

d

one positive and one negative root

answer is C.

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Detailed Solution

Product of roots isabc<0           [∵abc<0]Hence, roots are real and of opposite sign.
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If a,b,c∈R and abc < 0, then the equation bcx2+2(b+c−a)x+a=0 has