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  • Find the value of p so that the three lines 3x + y – 2 = 0, px + 2 y – 3 = 0 and 2x – y – 3 = 0 may intersect at one point.

Q : 9     Find the value of \small p so that the three lines  \small 3x+y-2=0,px+2y-3=0  and   \small 2x-y-3=0  may intersect at one point. 

Answers (1)

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Point of intersection of lines \small 3x+y-2=0 and \small 2x-y-3=0 is  (1,-1)
Now, (1,-1) must satisfy equation px+2y-3=0
Therefore,
p(1)+2(-1)-3=0
p-2-3=0
p=5
Therefore, the value of p is 5

Posted by

Gautam harsolia

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