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The coordinate axes is rotated and shifted in such a way that the IV th quadrant direction of line 4 x + 3 y - 35 = 0 becomes the new positive x -axis direction and the I s t quadrant direction of line 3 x - 4 y + 5 = 0 becomes the new positive y -axis direction. If origin as per old coordinate system is O , then according to the new coordinate system, the coordinates of O are

Options

  1. A1,7
  2. B- 1,7
  3. C1 , - 7
  4. D7 , - 1

Correct answer

C. 1 , - 7

Step-by-step solution

Distance of 0,0 from lines 4 x + 3 y - 35 = 0 (new x -axis) and 3 x - 4 y + 5 = 0 (new y -axis) are 7 units and 1 unit respectively. Since, according to the new coordinate system O lies in IV th quadrant, hence the new coordinates of O are 1 , - 7

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