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Consider the set of all lines px+qy+r=0 ...

Consider the set of all lines px+qy+r=0 such that 3p+2q+4r=0. Which one of the following statements is true ?

A

The lines are not concurrent

B

The lines are concurrent at the point `(3/4,1/2)`.

C

The lines are all parallel

D

Each line passes through the origin

Text Solution

Verified by Experts

The correct Answer is:
B
`px+qy-((3p+2q)/4)=0impliesp(x-3//4)+q(y-1//2)=0`
Hence lines pass through `(3//4,1//2)`
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