Math Class 12 New Book Chapter 8 MCQs Federal Board
Math Class 12 New Book Chapter 8 MCQs Federal Board
(i)
If
$$Sin^{-1}(\frac12)=\frac{\mathrm\pi}2-x,$$ then value of x is:
$$a)\;\frac{\mathrm\pi}6\\b)\;\frac{\mathrm\pi}3\\c)\;\frac{\mathrm\pi}4\\d)\;\frac{\mathrm\pi}2$$
Correct option is (b)
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(ii)
What is the principle value of
$$Sec\lbrack\;Cos^{-1}(\frac{\sqrt3}2)\;\rbrack$$?
$$a)\;\frac{\sqrt3}2\\b)\;\frac12\\c)\;\frac2{\sqrt3}\\d)\;2$$
Correct option is (c)
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(iii)
The value of
$$Csc\lbrack\;Cos^{-1}(-\frac{\sqrt3}2)\;\rbrack$$ is:
$$a)\;\frac12\\b)\;2\\c)\;-1\\d)\;-\frac12$$
Correct option is (b)
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(iv)
The value of
$$Cos\lbrack\;\frac{\mathrm\pi}6+Cos^{-1}(-\frac12)\;\rbrack$$ is:
$$a)\;\frac12\\b)\;-\frac12\\c)\;\frac{\sqrt3}2\\d)\;-\frac{\sqrt3}2$$
Correct option is (d)
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(v)
For what value of x ∈ (0, 2π), Sin x = -1/2 ?
$$a)\;\frac{7\mathrm\pi}6,\frac{\mathrm\pi}6\\b)\;\frac{7\mathrm\pi}6,\frac{11\mathrm\pi}6\\c)\;\frac{5\mathrm\pi}6,\frac{11\mathrm\pi}6\\d)\;\frac{\mathrm\pi}6,\frac{5\mathrm\pi}6$$
Correct option is (b)
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(vi)
The value of
$$Sin^{-1}(\frac5{13})\;$$ is:
$$a)\;Tan^{-1}(\frac5{12})\\b)\;Cos\;(\frac5{13})\\c)\;Cos^{-1}(\frac5{12})\\d)\;Csc^{-1}(\frac5{15})$$
Correct option is (a)
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(vii)
If
$$Sin^{-1}(\frac12)=\frac{\mathrm\pi}2-x,$$ then what is the value of x?
$$a)\;\frac{\mathrm\pi}2\\b)\;\frac{\mathrm\pi}6\\c)\;\frac{\mathrm\pi}4\\d)\;\frac{\mathrm\pi}3$$
Correct option is (d)
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(viii)
What results
$$Sec^{-1}(\infty)-Sec^{-1}(2)$$
$$a)\;\infty\\b)\;\frac{\mathrm\pi}3\\c)\;\frac{\mathrm\pi}6\\d)\;2$$
Correct option is (c)
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(ix)
What results
$$Sec^{-1}(1)+Sec^{-1}(\sqrt2)$$
$$a)\;\frac{\mathrm\pi}6\\b)\;\frac{\mathrm\pi}2\\c)\;\frac{\mathrm\pi}3\\d)\;\frac{\mathrm\pi}4$$
Correct option is (d)
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(x)
What results
$$Sec^{-1}(1)+Sec^{-1}(1)$$
$$a)\;0\\b)\;1\\c)\;\sqrt2\\d)\;2$$
Correct option is (a)
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