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Highly selective Backlog Qs for JEE MainMathematicsStraight Lines

A point P on a line is at a distance of 4 units from the origin (0,0) . If the line makes 60^ with the negative direction of the X -axis, then P is

Options

  1. A(2,2 3 )
  2. B(2 3 , 2)
  3. C(1, 3 )
  4. D(2 3 , 1)

Correct answer

B. (2 3 , 2)

Step-by-step solution

O P is perpendicular to given line. Slope of O P= 1 3 = y x x= 3 y Also x^2+y^2=16 3 y^2+y^2=16 y= 2 Points can be (2 3 , 2) or (-2 3 ,-2) .

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