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Questions  

The line (p+2q)x+(p3q)y=pq.for different values of p and q passes through the fixed point

a
(3/2,5/2)
b
(2/5,2/5)
c
(3/5, 3/5)
d
(2/5, 3/5)

detailed solution

Correct option is D

We have,(p+2q)x+(p−3q)y−p+q=0⇒ p(x+y−1)+q(2x−3y+1)=0Clearly, it represents a family of lines passing through theintersection of the lines x+y−1=0 and 2x−3y+1=0.The coordinates of the point of intersection these two lines are(2/5, 3/5).

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