HSC Science (General) 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Mathematics and Statistics

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Select the correct answer from the given alternative:

Suppose f(x) is the derivative of g(x) and g(x) is the derivative of h(x).

If h(x) = a sin x + b cos x + c then f(x) + h(x) =

[2.9] Differentiation

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Chapter: [2.9] Differentiation
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Find the value of :

`sin pi/8`

[1.3] Trigonometry - 2

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Chapter: [1.3] Trigonometry - 2
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A card is drawn from a pack of 52 cards. What is the probability that, card is either black or a face card?

[1.9] Probability

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Chapter: [1.9] Probability
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Following data gives age of 100 students in a college. Calculate variance and S.D.

Age (In years)	16	17	18	19	20	21
No. of Students	20	7	11	17	30	15

[1.8] Measures of Dispersion

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Chapter: [1.8] Measures of Dispersion
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An insurance agent insures lives of 5 men, all of the same age and in good health. The probability that a man of this age will survive the next 30 years is known to be 2/3 . Find the probability that in the next 30 years at most 3 men will survive.

[1.9] Probability

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Chapter: [1.9] Probability
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Suppose that 80% of all families own a television set. If 5 families are interviewed at random, find the probability that
a. three families own a television set.
b. at least two families own a television set.

[1.9] Probability

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Chapter: [1.9] Probability
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Find the trigonometric function of :

0°

[1.2] Trigonometry - 1

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Chapter: [1.2] Trigonometry - 1
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Find the trigonometric function of:

30°

[1.2] Trigonometry - 1

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