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AP EAMCET2005MathematicsStraight Lines

The equation of the straight line perpendicular to 5 x-2 y=7 and passing through the point of intersection of the lines 2 x+3 y=1 and 3 x+4 y=6 is

Options

  1. A2 x+5 y+17=0
  2. B2 x+5 y-17=0
  3. C2 x-5 y+17=0
  4. D2 x-5 y=17

Correct answer

A. 2 x+5 y+17=0

Step-by-step solution

Let the equation of line which is perpendicular to 5 x-2 y=7 , is On solving Eqs. (ii) and (iii), we get x=14, y=-9 Since the Eq. (i) is passing through the point (14,-9) aligned & & 2(14)+5(-9) & = & & 28-45 & = & & =-17 aligned Equation (i) becomes 2 x+5 y=-17 or 2 x+5 y+17=0

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