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AP EAMCET2001MathematicsStraight Lines

For all values of a and b the line (a+2 b) x+(a-b) y+(a+5 b)=0 passes through the point.

Options

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

Correct answer

C. (-2,1)

Step-by-step solution

Let the line passes through a point whose coordinates are (-2,1) , then aligned (a & +2 b)(-2)+(a-b)(1)+a+5 b & =-2 a-4 b+a-b+a+5 b & =-2 a-5 b+2 a+5 b & =0 aligned Our assumption is true. The required point is (-2,1)

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