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NAT I Engineering Mathematics MCQs With Answers
Question # 1
If a and b are any two distinct negative real numbers and G-ab where A.G.H represent arithmetic geometric and harmonic means then
Choose an answer
1
ω
2
ω
0
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Question # 2
If f(x) = x
3
- 2x
2
+4x-1, then f(-2) =?
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0
-25
5
45
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Question # 3
If Sin
-1
x + cos
-1
y = π, then x and y are
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Associative angles
Complementary angles
Reflex angles
Supplementary angles
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Question # 4
Which is an explicit function
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y = x
2
+2x -1
x
2
+xy +y
2
=2
xy
2
-y +9/xy =1
All are
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Question # 5
If -1 < x < 0, which of the following statement must be true?
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x < x
2
< x
2
x < x
3
< x
2
x
2
< x
3
< x
x
2
< x < x
3
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Question # 6
Find the geometric mean between 4 and 16
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7, 8
14, 4
28, 2
56, 1
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Question # 7
In the figure PS is perpendicular to QR, if PQ = PR 26 and P8 = 24,then QR=
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10
20
40
26
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Question # 8
If ab > 0 and a < 0, which of the following is negative?
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b
-b
-a
(a - b)
2
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Question # 9
The vertices of the ellipse x
2
+ 4y
2
= 16 are
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(±,4,0)
(0,±,4)
(± 2,0)
(0,± 2)
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Question # 10
If α and β be irrational roots of a quadratic equation, then
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α = b/a and β = ca
α = a/b and β = -c/a
α
2
+ β
2
= 1
α = -b/a and β= c/a
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Question # 11
P(x) = 2x
4
-3x
3
+2x-1 is polynomial of degree
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1
2
3
4
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