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JEE Main2014MathematicsStraight LinesActual

If a line intercepted between the coordinate axes is trisected at a point A (4,3) , which is nearer to x -axis, then its equation is:

Options

  1. A4 x-3 y=7
  2. B3 x +2 y =18
  3. C3 x+8 y=36
  4. Dx+3 y=13

Correct answer

B. 3 x +2 y =18

Step-by-step solution

A divides CB in 2: 1 aligned & 4= ( 1 0+2 a 1+2 )= 2 a 3 & a=6 coordinate of B is B (6,0) &3= ( 1 b+2 0 1+2 )= b 3 & b=9 and C (0,9) aligned Slope of line passing through (6,0),(0,9) slope, m= 9 -6 =- 3 2 Equation of line y-0= -3 2 (x-6) aligned &2 y=-3 x+18 &3 x+2 y=18 aligned

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