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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

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The correct Answer is:
B
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Knowledge Check

  • A sphere of constant radius r through the origin intersects the coordinate axes in A, B and C What is the locus of the centroid of the triangle ABC?

    A
    `x^2+y^2+z^2=r^2`
    B
    `x^2+y^2+z^2=4r^2`
    C
    `9(x^2+y^2+z^2)=4r^2`
    D
    `3(x^2+y^2+z^2)=2r^2`

  • Consider a parabola P touches coordinate axes at (4,0) and (0,3). if focus of parabola P is (a,b) then the value of b-a is

    A
    `1/25`
    B
    `3/25`
    C
    `4/25`
    D
    `12/25`

  • A line L_(1)=(x)/(10) +(y)/(8) =1 intersects the coordinate axes at points A and B. Another line L_(2) perpendicular to L_(1) intersects the coordinate axes at C and D. The locus of circumcentre of DeltaABD is

    A
    `5x-4y=9`
    B
    `5x-4y=18`
    C
    `4x-5y=9`
    D
    `4x-5y =18`