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Most Important Selected Qs for JEE AdvancedMathematicsArea Under Curves

If f( x ) 0 x R and area bounded by the curve y =f( x ), x =0, x = a and x -axis is ⁻¹ a , then the number of solutions of the equation f(x)-1= ^2 x is -

Options

  1. A0
  2. B1
  3. C2
  4. Dinfinitely many

Correct answer

B. 1

Step-by-step solution

aligned & ₀^ a f( x ) dx = ⁻¹ a & f( a )= 1 1+ a ^2 1 1+ x ^2 -1= ^2 x & ^2 x = 1 1+ x ^2 1 x =0 aligned

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