Questions
The line (p + 2q) x + (p – 3q)y = p – q for different values of p and q passes through the fixed point
a
35,52
b
25,25
c
35,35
d
25,35
detailed solution
Correct option is D
The equation of the given line can be re-written as p(x + y – 1) + q(2x – 3y + 1) = 0 which, clearly, passes through the point of intersection of the linesx + y – 1 = 0 ------(1) and 2x – 3y + 1 = 0 -------(2)for different values of p and qSolving (1) and (2), we get the coordinates of the point of intersection as 25,35.Talk to our academic expert!
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If the lines ax+by+c = 0, bx+cy+a = 0 and cx+ay+b=0 are concurrent then the point of concurrency is
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