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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
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π / 4
π / 6
π / 3
0
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Question # 2
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2x cos x2
-2xcosxsinx
2x Sin x2
-Sin x2
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Question # 3
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16 / 7
6 / 17
7 / 16
None of these
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Question # 4
w
15
= ______
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0
1
w
w
2
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Question # 5
5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is
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1 / 32
31 / 32
1 / 16
None of these
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Question # 6
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Question # 7
w
-1
= ______
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0
1
w
w
2
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Question # 8
The process of finding a function whose derivative is given is called a
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Differentiation
Integration
Differential
None
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Question # 9
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A.P.
G.P.
H.P.
None of these
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Question # 10
If x < y, 2x = A, and 2y = B, then
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A = B
A < B
A < x
B < y
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Question # 11
A triangle has ____ elements
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3
4
5
6
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Question # 12
If k2x2 +2hxy- 4y2 =0 represents two perpendicular lines then
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k = 2
k = ±2
k = -2
k ≠0
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Question # 13
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Question # 14
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A
B
A'
None of these
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Question # 15
The condition for polynomial equation ax2 + bx + c = 0 to be quadratic is
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a > 0
a < 0
a≠ 0
a≠ 0,b ≠ 0
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Question # 16
If the angle of a triangle are in the ratio 2 : 3 : 7, the triangle is
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Obtuse
Acute
Right angle
Isosceles
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Question # 17
The angle between the vectors 3i + j - k and 2i - j + k is
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Question # 18
(a-1)-1 =
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a-1
a
-a
None of above
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Question # 19
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Question # 20
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f(x) = x
2
f(x
2
) = x
f(x) = x
none of these
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Question # 21
The zero vector is
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[0, 0, 0]
[1, 1, 1]
[0, 1, 0]
[0, 0, 1]
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Question # 22
The mid point of the line segment joining the points (3,-1) and (-3,1) is
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(3,-1)
(0,0)
(2,2)
(4,4)
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Question # 23
The equation ax
2
+ 2hxy + by
2
+2gx + 2fy + c =0 represents an ellipse if
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Question # 24
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cosec x + c
-cosec x + c
-sec x + c
sec x + c
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Question # 25
The two parts into which 57 should be divided so that their product is 782 are
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43,14
34,23
33,24
44,13
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Question # 26
x = r2, y = 1 are the parametric equation of
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Circle
Hyperbola
Ellipse
Parabola
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Question # 27
If a,b,c are three non-coplanar vector then [a +b,b +c,c +a] = _____
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[a.b.c]
2[a,b,c]
[abc]-2
2[abc]2
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Question # 28
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0
1
2
1/2
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Question # 29
If f(x) = x
2
then f(-2) is
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-2
2
4
-4
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Question # 30
The tangent to the parabola y2 =4ax and perpendicular line from the focus on it meet
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x =0
y =0
x =-9
y = -a
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Question # 31
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