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CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ]

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Question 43 (Case Based Question) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at May 29, 2023 by

Rita’s height (in feet) above the water level is given by another polynomial p(t) with zeroes −1 and 2. Then p(t) is given by-

(a) t 2 + t − 2.   (b) t 2 + 2t − 1

(c) 24t 2 − 24t + 48.   (d) −24t 2 + 24t + 48.

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Question 43 Rita’s height (in feet) above the water level is given by another polynomial p(t) with zeroes −1 and 2. Then p(t) is given by- (a) t2 + t − 2. (b) t2 + 2t − 1 (c) 24t2 − 24t + 48. (d) −24t2 + 24t + 48. The required polynomial is (t − (−1)) (t − 2) = (t + 1) (t − 2) = t (t − 2) + 1 (t − 2) = t2 − 2t + t − 2 = t2 − t − 2 But, we can multiply any constant to this polynomial, And that polynomial would have the same zeroes Multiplying by −24 p(t) = −24 × (t2 − t − 2) p(t) = −24t2 + 24t + 48 So, the correct answer is (d)

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