Question

11. If the lines given by 3x-2y=4 and px+3y=5 are intersecting, then the value of p is ________
pls ans this question​

Answer 1

Step-by-step explanation:

The equation of the given lines are

3x+y−2=0...(1)

px+2y−3=0....(2)

2x−y−3=0....(3)

On solving equation (1) and (3) we obtain

x=1 and y=−1.

Since these three lines may intersect at one point, the point of intersection of lines(1) and (3) will also satisfy lines(2)

p(1)+2(−1)−3=0

p−2−3=0⇒p=5.