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Three sided of a triangle have equations `L_1-=y-m_i x=o; i=1,2 `and `3.` Then `L_1L_2+lambdaL_2L_3+muL_3L_1=0` where `lambda!=0,mu!=0,` is the equation of the circumcircle of the triangle if (a)`1+lambda+mu=m_1m_2+lambdam_2m_3+lambdam_3m_1` (b)`m_1(1+mu)+m_2(1+lambda)+m_3(mu+lambda)=0` (c)`1/(m_3)+1/(m_1)+1/(m_1)=1+lambda+mu` (d)none of these

A

`lamda(m_(2)+m_(3))+mu(m_(3)+m_(1))+v(m_(1)+m_(2))=0`

B

`lamda(m_(2)m_(3)-1)+mu(m_(3)m_(1)-1)+v(m_(1)m_(2)-1)=0`

C

Both (a) and (b)

D

None of the above

Text Solution

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The correct Answer is:
C
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