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AP EAMCET202124 Aug 2021Evening ShiftMathematicsStraight LinesActual

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

Options

  1. Ar(q+p) p q
  2. Br(q-p) p q
  3. Cr(p-q) p q
  4. Dr(p-q) p+q

Correct answer

B. r(q-p) p q

Step-by-step solution

We have, p x-q y=r intersect the coordinates axes at (a, 0) and (0, b) . p a=r a= r p 0-b q=r b= -r q a+b= r p - r q = r(q-p) p q

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