# 2nd PUC Mathematics Series 4

PUC Science 2nd Year Mathematics Series-4 quiz

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2nd PUC Mathematics Series 4

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31. If N be the set of all-natural numbers, consider f : N → N such that f(x) = 2x, ∀ x ∈ N, then f is

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32. Let f : R → R be a function defined by f(x) = x3 + 4, then f is

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33. Let * be a binary operation on set of integers I, defined by a * b = a + b – 3, then find the value of 3 * 4.

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34. If * is a binary operation on set of integers I defined by a * b = 3a + 4b – 2, then find the value of 4 * 5.

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35. Let * be the binary operation on N given by a * b = HCF (a, b) where, a, b ∈ N. Find the value of 22 * 4.

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36. If sin-1(x2 – 7x + 12) = nπ, ∀ n ∈ I, then x =

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37. cot(π/4 – 2cot-1 3) =

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38. If 6sin-1 (x2 – 6x + 8.5) = π, then x is equal to

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39. 2tan-1(cos x) = tan-1(2cosec x)

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40. The value of sin (2tan-1 (0.75)) is equal to

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