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If the line px-qy=r intersects the coord...

If the line px-qy=r intersects the coordinate axes at (a,0) and (0,b), then the value of a+b is equal to

A

`r((q+p)/(pq))`

B

`r((q-p)/(pq))`

C

`r((p-q)/(pq))`

D

`r((p+q)/(p-q))`

Text Solution

Verified by Experts

The correct Answer is:
B
points (a,0 and (0,b) will satisfy the equation of the px-qy=r.
`impliesap=r,-bq=r`
`thereforea+b=(r)/(p)-(r)/(q)=r((q-p)/(pq))`
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