If one zero of the polynomial 6x^2 + 37x - (k - 2) is reciprocal of the other, then what is the value of k? (a) -4... | MCQ 1m | Maths | SuperPadhai

Polynomials > Question

MCQ1 markYear: 2023MediumCBSE Class 10

polynomialszeroesreciprocal

Question

If one zero of the polynomial

6 x^{2} + 37 x - (k - 2)

is reciprocal of the other, then what is the value of

k

?
(a)

- 4

(b)

- 6

(c)

6

(d)

4

Solution

1

If zeroes are

α

and

\frac{1}{α}

, product

= \frac{- ( k - 2 )}{6} = 1 \Rightarrow - (k - 2) = 6 \Rightarrow k = - 4

+1 mark

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