Question

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$<b>Let p, q, r be distinct positive numbers. Three lines px + qy + r =0, qx+ry+p=0 and rx+py+q=0 are concurrent, if</b>$

A. p+q-r =0
B. p² + q² +r²= -pq + qr + rp
C. p³ + q³+ r³=3pqr
D. None of these


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Answer 1

Option C

Given

Equation of line

PX + qy + r = 0

qx + ry + p = 0

Rx+ py + q = 0

We know that

• Three line are said to beconcurrent if point of intersection of two line lies on 3fd line .
• For condition of concurrent the determinants of coffecient and constant must be equals to 0 .

Solutions is attached above ...