CAT-2021-QA-Slot-1/Free CAT Question papers

9).

If r is a constant such that has exactly three distinct real roots, then the value of r is

  1. 15

  2. 18

  3. 17

  4. 21


Explanation

          

         =>

         =>  = r

         =>  = r   or    = -  r  

         =>  = 17 + r    or     = 17 - r   

Each of these two equations has two roots. But if r = 17, the second equation has one root only or overall, exactly three distinct real roots.

Ans: (3)

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