1
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\mathop {\lim }\limits_{x \to {\pi \over 6}} {{2{{\sin }^2}x + \sin x - 1} \over {2{{\sin }^2}x - 3\sin x + 1}}$$ equal to ?
A
$$ - {1 \over 2}$$
B
$$ - {1 \over 3}$$
C
$$-$$ 2
D
$$-$$ 3
2
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the function $$f(x) = \left\{ {\matrix{ {{x^2}In|x|} & {x \ne 0} \cr 0 & {x = 0} \cr } } \right.$$ What is f' (0) equal to ?
A
0
B
1
C
$$-$$1
D
It does not exist
3
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$f(x) = {{{x^2} - 9} \over {{x^2} - 2x - 3}},x \ne 3$$ is continuous at x = 3, then which one of the following is correct?
A
f(3) = 0
B
f(3) = 1.5
C
f(3) = 3
D
f(3) = $$-$$1.5
4
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\mathop {\lim }\limits_{x \to 0} {{\tan x} \over {\sin 2x}}$$ equal to
A
$${1 \over 2}$$
B
1
C
2
D
Limit does not exist
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