Q193 / 270 · NDA 2021 (Phase 1) · Mathematics

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

  • A
    $2$
  • B
    $3$
  • Correct answer
    C
    $5$
  • D
    $8$

Solution

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

Hence, the correct answer is option: 'C'.

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