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Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

Consider the quadratic equation (a+c-b) x^2+2 c x+(b+c-a)=0 where a, b, c are distinct real number and a+c-b 0 . If both the roots of the equation are rational then the numbers which must be rational are

Options

  1. Aa, b, c
  2. Bc a-b
  3. Cb+c-a a+c-b
  4. Db^2 c-a

Correct answer

C. b+c-a a+c-b

Step-by-step solution

Since, f(-1)=0 the other root is - b+c-a a+c-b Q Which can be written as - c a-b -1 c a-b +1 Hence, c a-b Q

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