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Q.

The condition that the product of two roots x3+px2+qx+r=0  is –1, is

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a

r2+pr+q+1=0

b

q2+pq+q+1=0

c

p2+pq+p+1=0

d

r2−pr−q+1=0

answer is A.

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Detailed Solution

αβ=−1,αβγ=−r⇒γ=r f(r)=0⇒r2+pr+q+1=0
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The condition that the product of two roots x3+px2+qx+r=0  is –1, is