Let the lines y−k1x−β=0 and y−k2x−β=0,(k1≠k2),k1,k2∈R intersect at P and the lines x−p1y−α=0 and x−p2y−α=0,(p1≠p2),p1,p2∈R intersect at Q. If the points P and Q always lies on or inside the triangle formed by the lines 2x−3y−6=0, 3x−y+3=0 and 3x+4y−12=0, then

Let the lines y−k1x−β=0 and y−k2x−β=0,(k1≠k2),k1,k2∈R in

1.	Let the lines y−k1x−β=0 and y−k2x−β=0,(k1≠k2),k1,k2∈R intersect at P and the lines x−p1y−α=0 and x−p2y−α=0,(p1≠p2),p1,p2∈R intersect at Q. If the points P and Q always lies on or inside the triangle formed by the lines 2x−3y−6=0, 3x−y+3=0 and 3x+4y−12=0, then
Answer» Let the lines $y - k_{1} x - β = 0$ and $y - k_{2} x - β = 0, (k_{1} \neq k_{2}), k_{1}, k_{2} \in R$ intersect at $P$ and the lines $x - p_{1} y - α = 0$ and $x - p_{2} y - α = 0, (p_{1} \neq p_{2}), p_{1}, p_{2} \in R$ intersect at $Q$ . If the points $P$ and $Q$ always lies on or inside the triangle formed by the lines $2 x - 3 y - 6 = 0, 3 x - y + 3 = 0$ and $3 x + 4 y - 12 = 0$ , then