Question

The straight lines x + 3y-9 = 0
4x + 5y-1=0, px + qy + 10 = Oare
concurrent, if the line 5x + 6y +
10 = 0
passes through the point
(A) (91-p)
(B) (9.p)
(C) (p, -a)
(D) (p, q)​

Answer 1

Answer:

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Answer 2

Answer:

given lines x+3y-9=0  -------------  1

                   4x+5y-1=0-------------- 2

                  px+qy+10=0-------------3

  solve equations 1 and 2 we get y = 5 and x = - 6

 p(x, y) =(-6,5) ------- substitute in equation 3

 we get -6x+5y+10=0  write this in order⇒ 5y -6x+10=0

                                                                   ⇒ 5q-6p+10=0

so 5x+6y+10=0 passes through ( q , -p) .