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the lines (p+2q)x+(p-3q)y=p-q for differ...

the lines `(p+2q)x+(p-3q)y=p-q` for different values of `p&q` passes trough the fixed point is:

A

`(3/2, 5/2)`

B

`(2/5, 2/5)`

C

`(3/5, 3/5)`

D

`(2/5, 3/5)`

Text Solution

Verified by Experts

The correct Answer is:
D
As given As given, `(p+2q)x+(p-3q)y=p-q`
`implies px+2qx+py-3qy=p-q`
`implies p(x+y)-q(3y-2x)=p-q`
Equation co-efficient of p and q
`implies x+y=1 and 3y-2x=1`
Solving these, we get
`x=2/5, y=3/5`.
So, line passes through `(2/5, 3/5)`.
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