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AP EAMCET202021 Sep 2020Evening ShiftMathematicsStraight LinesActual

The equation of the line through the point ((2,3) ) such that its (x )-intercept is twice its (y )-intecept is ......... .

Options

  1. A(x+2 y-8=0 )
  2. B(4 x+y+2=0 )
  3. C(2 x+33 y-46=0 )
  4. D(4 x+3 y-11=0 )

Correct answer

A. (x+2 y-8=0 )

Step-by-step solution

It is given that line makes (x )-intercept twice as compare to (y )-intercept, so let the equation of line is ( x 2 a + y a =1 ) ...(i) ( ) Line (i) passes through ((2,3) ) so ( 2 2 a + 3 a =1 4 a =1 a=4 ) ( ) Equation of required line is (x+2 y-8=0 ) Hence, option (a) is correct.

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