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Mathematics ECAT Pre Engineering Online Test MCQs With Answers
Question # 1
If ax + bx + c =0 is satisfied by every value of x,then
Choose an answer
b = 0,c = 0
c = 0
b = 0
a = b = c = 0
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Question # 2
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Question # 3
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x-axis
y-axis
z-axis
None of these
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Question # 4
A sequence whose reciprocal is an A.P is called
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Oscillator
H.P
G.P
None of these
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Question # 5
The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)
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I & III
I & IV
II & IV
II & III
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Question # 6
If either A = 0 or B =0,then Ax2 +By2 +2Gx +2Fy +c =0 represents a
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Circle
Hyperbola
Ellipse
Parabola
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Question # 7
x = -1 is in the solution of the inequality
Choose an answer
x + 5 < 0
2x + 3
<
0
x > 0
2x + 3 > 0
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Question # 8
If n is any positive integer then 4
n
>3
n
+ 4 is true for all
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Question # 9
A function in which the second elements of the order pairs are distinct is called
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Onto function
One-one function
Identity function
Inverse function
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Question # 10
If S
r
denotes the sum of the first r terms of a G.P., then S
n
, S
2n
- S
n
, S
3n
- S
2n
are in
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A.P.
G.P.
H.P.
None of these
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Question # 11
2
π
+
θ
will have terminal side in Quad
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I
II
III
IV
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Question # 12
The value of sin 28°cos 17°+cos 28°sin 17°is
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Question # 13
The harmonic mean between a and b is
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Question # 14
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Question # 15
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Question # 16
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Question # 17
The corner point of the boundary lines, x-2y
2x + y = 2 is:
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(2,6)
(6,2)
(-2,2)
(2,-2)
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Question # 18
Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is
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3! P(n, r - 3)
P(n, 3) P(n, r - 3)
P(r, r)P(n, r - 3)
P(n - 3, r)
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Question # 19
The expansion of (1 + 2x)
-2
is valed if
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| x | < 1/2
| x | < 1
| x | < 2
| x | < 3
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Question # 20
The middle term of [1/x-x]
10
is
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-152
-252
371
-421
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Question # 21
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none of these
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Question # 22
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0
1
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Question # 23
x
2
+ x - 6 = 0 is a conditional equation and it is true for
Choose an answer
2, 3
2, -3
-2, -3
-2, 3
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Question # 24
The interval in which f(x)=x3-6x2+9x is increasing
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1<x<3
x<1 and x>3
X ≥1 and x ≤ 3
-∞ < x < ∞
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Question # 25
The constant distance of all points of the circle from its centre is called the
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radius of the circle
secant of the circle
chord of the circle
diameter of the circle
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Question # 26
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Question # 27
Range of sec
θ
is
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Z - {x | -1 < x < 1}
W - {x | -1 < x < 1}
R - {x | -1 < x < 1}
R
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Question # 28
Each point of the feasible region is called
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Solution
feasible solution
Both a & b
None
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Question # 29
x = sin
-1
3, then the value of sin x is
Choose an answer
√(3/2)
3
Not possible
-1
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Question # 30
The greatest term in the expansion of (3+2x)
9
, when x=1 is
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4th
4th and 5th
5th
6th
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Question # 31
If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is
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an ellipse
a hyperbola
a circle
a parabola
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