CAT 2021 Slot 1

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CAT 2021 Exam Question Papers Slot 1 | CAT Quants​

CAT Quantitative Aptitude | CAT 2021 Question Papers​

CAT Question Papers: Solving CAT Question Papers from prior years will give CAT 2022 applicants invaluable insight into the examination format, question pattern, and level of difficulty. The CAT 2021 exams were held in three slots.
 
It is important for CAT preparation to examine old CAT Exam, Question Paper. In order to overcome the difficulties, they encounter when preparing for the CAT, aspirants must use a variety of strategies.
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All CAT 2021 Quantitative aptitude questions have detailed answer keys and solutions provided by our experts. Watch the videos below to learn the fastest ways to answer the questions:

9).

If r is a constant such thatopen vertical bar x squared minus 4 x minus 13 close vertical bar equals r has exactly three distinct real roots, then the value of r is

  1. 15

  2. 18

  3. 17

  4. 21


Explanation

  open vertical bar x squared minus 4 x minus 13 close vertical bar space equals space r          

         => open vertical bar x squared minus 4 x plus 4 minus 17 close vertical bar equals r

         => open vertical bar open parentheses x minus 2 close parentheses squared minus 17 close vertical bar = r

         =>  open parentheses x minus 2 close parentheses squared minus 17= r   or  open parentheses x minus 2 close parentheses squared minus 17  = -  r  

         =>  open parentheses x minus 2 close parentheses squared= 17 + r    or    open parentheses x minus 2 close parentheses squared = 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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