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QJEEM23Ma6a9c: JEE Main 2023 Mathematics - Class 11 JEEM23Ma6a9c Solution: The number of integral values of k, for which one root of the…

The number of integral values of k, for which one root of the equation 2x2−8x+k=02x^2-8x+k=0 lies in the interval (1, 2) and its other root lies in the interval (2, 3), is :

Multiple Choice Options

  • A 2
  • B 0
  • C 1
  • D 3

Step-by-Step Verified Solution

JEE Main 2023 (Online) 1st February Evening Shift Mathematics - Quadratic Equation and Inequalities Question 47 English Explanation

amp;f(1)gt;0⇒kgt;6amp;f(2)lt;0⇒klt;8amp;f(3)gt;0⇒kgt;6amp;k∈(6,8)\begin{aligned}& f(1)>0 \Rightarrow k>6 \\\\& f(2)<0 \Rightarrow k<8 \\\\& f(3)>0 \Rightarrow k>6 \\\\& k \in(6,8)\end{aligned}

Only 1 integral value of kk is 7.

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