Math Class 12 New Book Chapter 2 MCQs Federal Board
Math Class 12 New Book Chapter 2 MCQs Federal Board
Tick the correct option.
(i)
If
$$\lim_{x\rightarrow a}\;f(x)\;=\;3\;and\\\lim_{x\rightarrow a}\;g(x)\;=\;0\;then\\\lim_{x\rightarrow a}\;\frac{f(x)}{g(x)}\;=\;?$$
a) 3
b) 0
c) Exist
d) Doesn’t exist
Correct option is (d)
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(ii)
If
$$f(x)=\left\{\begin{array}{lc}2x-1,&x<0\\2x+1,&x>0\end{array},\;then\;\lim_{x\rightarrow0}\right.$$ f(x) = 0, is:
a) 1
b) -1
c) 0
d) 2
Correct option is (b)
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(iii)
If f and g are continuous at 2, then f/g is continuous at:
a) 0
b) 1
c) 2
d) 3
Correct option is (c)
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(iv)
The function
$$f(x)\;=\;\left\{\begin{array}{lc}\frac{\sin\;x}x,&x\neq0\\1,&x=0\end{array},\;\right.$$ is continuous at:
a) 0
b) 1
c) -1
d) 0.1
Correct option is (a)
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(v)
If f is differentiable for every value of x, then f is:
a) Discontinuous
b) Continuous
c) Finite
d) Infinite
Correct option is (b)
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(vi)
If k is a constant and n is positive integer,
$$then\;\frac d{dx}\;k^n$$ is:
$$a)\;nk^{n-1}\\b)\;k^{n-1}\\c)\;In\;n.k^n\\d)\;0$$
Correct option is (d)
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(vii)
If f(2) = 2,
$$g(x)=x^2,\;then\;\frac d{dx}\left[\frac{3g(x)}{f(2)}\right]$$
$$a)\;2x\;\;\\b)\;3x\;\;\\c)\;\frac32x\\d)\;\frac32x^2$$
Correct option is (b)
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(viii)
If y = f(x) is a polynomial function of degree 2,
$$then\;\frac{d^3}{dx^3}$$ f(x) is:
a) 0
b) 1
c) -1
d) 2
Correct option is (a)
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(ix)
If f is differentiable for every value of x, then f is continuous for:
$$a)\;Some\;value\;of\;x\\b)\;\lbrack0,\;\infty\rbrack\\c)\;Every\;value\;of\;x\\d)\;\lbrack0,\;-\infty\rbrack$$
Correct option is (c)
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(x)
If
$$f\;(t)=2t^3$$ is absolute minimum at:
a) 3
b) 0
c) -1
d) 1
No one is correct
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