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AP EAMCET202018 Sep 2020Evening ShiftMathematicsQuadratic EquationActual

If (a, b, c ) are in Arithmetic Progression (AP), then the roots of the equation (a x^2-2 b x+c=0 ) are

Options

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

Correct answer

A. (1, c a )

Step-by-step solution

Given, (a, b, c ) are in AP ( aligned 2 b & =a+c a x^2-2 b x+c & =0 a x^2-(a+c) x+c & =0 a x^2-a x-c x+c & =0 a x(x-1)-c(x-1) & =0 (x-1)(a x-c) & =0 x & =1, c a aligned ) Hence, option (a) is correct.

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