Question
If the ratio of the roots of the equation ax2+bx+c=0 be p:q, then
Answer: Option B
:
B
Let pα,qα be the roots of the given equationax2+bx+c=0
Then pα +qα = −baandpα.qα=ca
From first relation,α = −ba(p+q)
Substituting this value ofα in second relation, we get
b2a2(p+q)2×pq=ca⇒ b2pq−ac(p+q)2=0
Note : Students should remember this question as a fact.
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:
B
Let pα,qα be the roots of the given equationax2+bx+c=0
Then pα +qα = −baandpα.qα=ca
From first relation,α = −ba(p+q)
Substituting this value ofα in second relation, we get
b2a2(p+q)2×pq=ca⇒ b2pq−ac(p+q)2=0
Note : Students should remember this question as a fact.
Was this answer helpful ?
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