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NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Quadratic Equation

NDA 2021 · Mathematics · Quadratic Equation

If one root of 5 x^2+26 x+k=0 is reciprocal of the other, then what...

If one root of 5x2+26x+k=05 x^2+26 x+k=0 is reciprocal of the other, then what is the value of kk ?

Options

  1. A22
  2. B33
  3. C55
  4. D88

Correct answer

C. 55

Step-by-step solution

As one root is reciprocal of the other. ∴\therefore Product of roots =1=1. ∴K5=1⇒K=5\therefore \frac{K}{5}=1 \Rightarrow K=5
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