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KVPY2012MathematicsQuadratic Equation

In the real number system, the equation x+3-4 x-1 + x+8-6 x-1 =1 has -

Options

  1. ANo solution
  2. BExactly two distinct solutions
  3. CExactly four distinct solutions
  4. DInfinitely may solutions

Correct answer

D. Infinitely may solutions

Step-by-step solution

x+3-4 x-1 + x+8-6 x-1 =1 ; x 1 (x-1)-2 2 x-1 +4 + (x-1)-6 x-1 +9 =1 array l 2 x-1 =6 x=10 Case -II x-1 -2- x-1 +3=1 5 x 10 array Case -III array l - x-1 +2- x-1 +3=1 2 x-1 =4 x=5 array

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