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ECAT Pre General Science Mathematics Online Test MCQs With Answers
Question # 1
Period of cosec x is ______
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Question # 2
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square root function
identity function
linear function
quadratic function
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Question # 3
If (0, 0) and (1, 0) are the end points of a diameter, then the equation of the circle is
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Question # 4
If the roots of ax
2
+ bx + c = 0 (a > 0) be greater than unity, then
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a + b + c = 0
a + b + c > 0
a + b + c < 0
None of these
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Question # 5
The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by
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2, -3, 4
6, -4, -3
6, -4, 3
3, -2, 1.5
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Question # 6
The domain and range of a trigonometric function can be allocate by their
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graph
Continuity
Discontinuity
Periods
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Question # 7
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Question # 8
Derivative of x
3
w.r.t x is
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0
1
3x
2
x
3
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Question # 9
x = 0 is in the solution of the inequality
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x > 0
3x + 4 < 0
x + 3 < 0
x - 2 < 0
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Question # 10
If a,βare the roots of the equation x2 - 8x + p = 0 and a2 + β2= 40,then value of p is
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8
12
10
14
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Question # 11
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Question # 12
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Question # 13
If A is a non-singular matrix then adj A is
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Non-singular
Symmetric
Singular
Non defined
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Question # 14
The centroid of a triangle divides each median in the ratio
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2 : 1
3 : 1
3 : 2
1 : 1
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Question # 15
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6
20
0
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Question # 16
If all members of a sequence are real numbers then it is called a
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Series
Function
Real sequence
Range
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Question # 17
If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is
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x
2
+ Sx - P = 0
x
2
- Sx + P = 0
x
2
- Sx - P = 0
X
2
+ Sx + P = 0
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Question # 18
The sum if 1,3,5,7,9........ up to 20 terms is
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400
472
563
264
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Question # 19
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Question # 20
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Question # 21
if a
1
=3, d=7 and a
n
=59 , then the number of terms in A.P is
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7
9
11
13
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Question # 22
Two positive integers whose sum is 30 and their product will be maximum are
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12,18
10,20
15,15
14,16
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Question # 23
Two tangents drawn from (2,3) to the circle x2+y2 =9 are
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Real and distinct
Imaginary
Real and coincident
None of these
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Question # 24
The set of whole numbers is subset of
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The set on integers
The set of natural numbers
{1, 3, 5, 7, ....}
The set of prime numbers
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Question # 25
The solution set of the equation tan
-1
x - cot
-1
x = cos
-1
(2 - x) is
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[0, 1]
[-1, 1]
[1, 3]
None of these
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Question # 26
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0
1
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Question # 27
The distance between the points (0,0) and (x,y) is
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x
2
+ y
2
x
y
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Question # 28
The line y = 2 x + c is a tangent to the parabola y
2
= 16 x if c equals
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-2
-1
0
2
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Question # 29
______________ invented a symbolic way to write the statement "y is a function of x" as y= f(x)
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Leibniz
Newton
Euler
None of these
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Question # 30
ax2 +2hxy +by2 +2gx +2fy +c =0 may represent an ellipse if
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h2 -ab <0
h2 -ab≠ 0
h2 -ab =0
h2 -ab >0
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Question # 31
The number of solution of the equation tan x + sec x = 2 cos x lying in the interval [0, 2
π
] is
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0
1
2
3
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