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NAT I Engineering Mathematics MCQs With Answers
Question # 1
In the figure PS is perpendicular to QR, if PQ = PR 26 and P8 = 24,then QR=
Choose an answer
10
20
40
26
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Question # 2
If θ= 60° then
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sin θ = 1/2
tan θ = cot 30°
θ = π/4
Sec θ =4
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Question # 3
The point (-5,3) is the center of a circle and P(7,-2) lies on the circle the radius of the circle is
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2
13
7
8
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Question # 4
If the sum of the roots of (a + 1)x
2
+ (2a + 3)x + (3a + 4) = 0 is -1, then product of the roots is
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Commutative law w.r.t multiplication
Associative law w.r.t addition
Distributive law w.r.t addition
Multiplication of a scalar with the matrix
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Question # 5
AreCot √3 =?
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π/2
π
2π
π/6
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Question # 6
One of the roots of the equation 2x
2
+ 3x + n = 0 is the reciprocal of the other, then n = --------------------
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Both A,B have the same number of columns
Both A,B do not have the same order
Number of col A is same as number of rows of B
Number of rows of A is same as number of col of B
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Question # 7
If Cosα = 3/5, Cosβ = 5/13, then
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Cos(α +β) =33/65
Sin(α +β) =56/65
sin
2
(α +β/2) =1/65
Cos(α +β) =63/65
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Question # 8
If A = [a
ij
] and b = [b
ij
] are the matrices of the order 3x3 then A-B=
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Circle
Ellipse
Parabola
Hexagon
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Question # 9
x-1/(x+2)(x-2) =
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4/3(x-4) -1/3(x-1)
3/4(x+2) + 1/4(x-2)
2/3(x-2) - 4/3(x+2)
3/x - 2/x+1
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Question # 10
If i,m,n are the direction cosines of a vector O̅P̅ then
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I
2
+ m
2
+ n
2
=0
I
2
- m
2
+ n
2
=1
I
2
+ m
2
+ n
2
=1
I
2
+ m
2
- n
2
=0
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Question # 11
The gradient of the line joining (1,4) and (-2,5) is
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3/8
-2 2/3
-1/3
2
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