Maharashtra State BoardHSC Science (General) 11th
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Select the correct answer from given alternatives If f(x) = 2x2 + bx + c and f(0) = 3 and f(2) = 1, then f(1) is equal to - Mathematics and Statistics

MCQ

Select the correct answer from given alternatives

If f(x) = 2x2 + bx + c and f(0) = 3 and f(2) = 1, then f(1) is equal to

Options

  • –2

  • 0

  • 1

  • 2

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Solution

0

Explanation;

f(x) = 2x2 + bx + c

f(0) = 3

∴ 2(0) + b(0) + c = 3

∴ c = 3     ....(i)

f(2) = 1

∴ 2(4) + 2b + c = 1

∴ 2b + c = –7

∴ 2b + 3 = – 7   ...[From (i)]

∴ b = – 5

∴ f(x) = 2x2 – 5x + 3

∴ f(1) = 2(1) – 5(1) + 3 = 0

  Is there an error in this question or solution?
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 6 Functions
Miscellaneous Exercise 6 | Q I. (8) | Page 130
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