Question

18. If one zero of the polynomial p(x) = (t2+ 1)x2 + 4x + 2t be reciprocal of
the other then t equals.
(b) -1
(c) +1
(d) NOTA
(a) 1

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Answer 1

Option - (c) : +1

Let one of the two zeroes be x then the other one will be 1/x

p(x) = (t² + 1)x² + 4x + 2t

☛ Product of zeroes = ( constant term ) / (coefficient of x² )

☛ x × 1/x = (2t) / (t² + 1)

☛ 1 = 2t / (t² + 1)

☛ t² + 1 = 2t

☛ t² - 2t + 1 = 0

☛ t² - t - t + 1 = 0

☛ t(t - 1) - 1(t - 1) = 0

☛ (t - 1)(t - 1) = 0

t - 1 = 0

==> t = 1

Hence, The value of t is 1

Answer 2

Answer:

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