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BITSAT2012MathematicsStraight LinesActual

The nearest point on the line 3 x+4 y=12 from the origin is

Options

  1. A( 36 25 , 48 25 )
  2. B(3, 3 4 )
  3. C(2, 3 2 )
  4. DNone of these

Correct answer

A. ( 36 25 , 48 25 )

Step-by-step solution

If ' D ' be the foot of altitude, drawn from origin to the given line, then ⁴ D ^ is the required point. Let OBA = =4 / 3 DOA = aligned & we have OD =12 / 5 . & If D is (h, k) then h=O D , k=O D & h =36 / 25, k =48 / 25 . aligned

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