ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 Y = -x log x -x + c Y = x log x + x Y = x log x - x + c None of these
2
3
4 X = 100 sin<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>θ</i></span> X = 10 sin<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span> X = 100 sec<span style="font-family: &quot;Times New Roman&quot;; font-size: 24px; color: rgb(34, 34, 34); text-align: center; background-color: rgb(255, 255, 248);"><i>θ</i></span> None of these
5 A variable A constant 0 None of these
6
7
8 Which of the following integrals can be evaluated
9
10
11
12 y + 1 = Ae<sup>x</sup> y + 1 = Axe<sup>x</sup> xe<sup>x </sup>= C y + xe<sup>x</sup>= C
13
14 The differential equation of all st. lines which are at a constant distance to form the origin is
15 The differential equations of all conis whose axes coincide with the co-ordinate axis is
16 The differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is
17 1 2 3 4
18 1 2 3 4
19 Te order of the differential equation of all conics whose axes coincide with the axes of co-ordinates is 2 3 4 1
20 2, 3 3, 3 2, 6 2, 4
21 2 1 5 0
22 1/8 1/2 1/4 1/6
23 (1,7/3) (1, 7/5) (1, 11/7) (1, 3/5)
24 R/[0,4] R/(0,4) (0,4) [0,4]
25 Does not exist because f is unbounded Is not attained even though f is bounded Is equal to 1 Is equal to -1
26 3/4 r v None of these
27 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>
28 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>
29 Domain of y = scs x is All real numbers except π/2 + n*π R All negative integers None of these
30 Graph of the question x2+ y2= 4 is A circle An ellipse A parabola A square
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