ECAT Pre General Science Mathematics Chapter 17 Functions and Limits Online Test With Answers

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ECAT Pre General Science Mathematics Chapter 17 Functions and Limits Online Test

Sr. # Questions Answers Choice
1 1/8 1/2 1/4 1/6
2 (1,7/3) (1, 7/5) (1, 11/7) (1, 3/5)
3 R/[0,4] R/(0,4) (0,4) [0,4]
4 Does not exist because f is unbounded Is not attained even though f is bounded Is equal to 1 Is equal to -1
5 3/4 r v None of these
6 0 1 8 <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>∞</i></span>
7 The area of circle of unit radius = 0 1 4 <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);">π</span>
8 Domain of y = scs x is All real numbers except π/2 + n*π R All negative integers None of these
9 Graph of the question x2+ y2= 4 is A circle An ellipse A parabola A square
10 1 0 -2 3
11 The range of inequality x + 2 > 4 is (-1, 2) (-2, 2) (1,<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span>) None
12 A function F(x) is called even if F(x) = F (-x) F(x) = F(-x) F(x) = -F(x) 2F(x) = 0
13 The domain of f(x) = log x is [0,<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span>] (0,<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span>) [0,<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span>[ [<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span>,<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);"><i>∞</i></span>]
14
15 Which is an explicit function y = x<sup>2</sup>+ 2x - 1 x<sup>2</sup>+ xy + y<sup>2</sup>= 2 x<sup>2</sup>+ y<sup>2</sup>= xy + 2 All are
16 Which is not included in the domain of cos-1x 0 1 -1 2
17 p(x) = 2x4- 3x3+ 2x - 1 is polynomial of degree 1 2 3 4
18 0 -2 1 4
19 If f(x) = x3- 2x2+ 4x -1, then f(-2) = ? 0 -25 5 45
20 -2 -1 1 2
21 One-one but not onto One-one and onto Onto but not one-one Neither one-one nor onto
22
23 Which of the following function form 1 to itself are bi-jective F(x) = x + 3 F(x) = x<sup>5</sup> F(x) = 3x + 2 F(x) = x<sup>2</sup>+ x
24 πis the period of the function |sin x| + |sin x| sin<sup>4</sup>x + cos x sin (sin x) + sin (cos x) None of these
25 The periods of the function f(x) = x[x] is 1 2 Non periodic None of these
26 The period of the function f(x) = sin4x + cos4x is <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span> <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span>/2 2<span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span> None of these
27 The period sin2θis <i style="text-align: center;">π<sup>2</sup></i> <i style="text-align: center;">π</i> 2<i style="text-align: center;">π</i> <i style="text-align: center;">π/2</i>
28 <span style="color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 224);"><i>π</i></span> <i style="text-align: center;">2π</i> <i style="text-align: center;">π/2</i> None of these
29 One-to-one and onto One-to-one but not on to Onto but not one-to-one Neither one-to-one nor onto
30 2 4 8 12
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