NTS Educators ESE (Science) Jobs Test With Answers

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NTS Educators ESE (Science) Jobs Test

Sr. # Questions Answers Choice
1 The parametric equation of a curve are x = t2, y = t2 then dy/dx =3t/2 dy/dx =t<sup>5</sup> dy/dx =5t<sup>4</sup> None
2 In the function v = 4/3 π r3, V is a function of 3/4 r v π
3 F(x) = xx decreases in the interval (0,e) (0.1) (-∞.0) None
4 The area of circle of unit radius= 0 1 4 π
5 Domain of Y = csc x is R - nπ, n&nbsp;ε I R R -nπ/2,nεI All negative Integers
6 Graph of the equation X2 + y2 = 4 is a circle an ellipse a parabola A square
7 The range of inequality x + 2 > 4 is (-1,2) (-2,2) (1,∞) None
8 A function F(x) is called even if F(x) = F(-x) F(x) = F(-x) F(x) = -F(x) 2F(x) = 0
9 The Domain of f(x) = log x is [0,∞] (0,&nbsp;∞) [0,∞[ [∞ ,∞]
10 If f(x) : A → B and g (x) : A → B then Dom [f(x) + g(x)] is Dom f(x)&nbsp;∩ Dom g (x) Dom f(x)&nbsp;∪ Dom g(x) [Domf(x)]<sup>2</sup> - [Dom g(x)]<sup>2</sup> [Dom g(x)]<sup>2 </sup>-[Domf(x)]<sup>2</sup>
11 Which is an explicit function y = x<sup>2</sup> +2x -1 x<sup>2</sup> +xy +y<sup>2</sup> =2 xy<sup>2</sup> -y +9/xy =1 All are
12 Which is not included in the domain of Cos-1 x 0 1 -1 2
13 P(x) = 2x4 -3x3 +2x-1 is polynomial of degree 1 2 3 4
14 If f (x) = x/x2- 4 then which is not included in the domain of f(x) 0 -2 1 4
15 If f(x) = x3- 2x2 +4x-1, then f(-2) =? 0 -25 5 45
16 Which of the following is the solution of Cot2x = 1/√3 π/5 π/3 π/7 π/9
17 Which of the following is solution of Tan2 x = 1/3 7π/6 5π/6 π/6 All
18 If x lies in {0, 2π} and Cosec x = 2 then x = π/ 6 and 5π/6 π +2nπ nπ 2π/3 and&nbsp;π/3
19 If 1 + Cos x = 0 then x = π +2n&nbsp;π π + nπ π - nπ π/2
20 If θ= 60° then sin&nbsp;θ = 1/2 tan&nbsp;θ = cot 30° θ = π/4 Sec&nbsp;θ =4
21 In which quadrant is the solution of the equation sin x - 1 = 0 II quadrants II and III quadrants III and Iv quadrants I quadrant
22 Cos-1 x = ∏ = sin<sup>-1</sup> x ∏ + sin<sup>-1</sup> x ∏/2 - sin<sup>-1</sup> x ∏/2 +sin<sup>-1</sup> x
23 Sec-1 x= Cos<sup>-1</sup> 1/x Cosec<sup>-1</sup> 1/x Cos-1 (-x) Tan<sup>-1</sup> x
24 Sin-1 (-x) = Cos<sup>-1</sup> 1/x -Sin<sup>-1</sup>&nbsp;X 1/sin-1x Sin<sup>-1</sup> 1/x
25 Tan-1 1/x =______ Sin x Sec<sup>-1</sup> X Cot<sup>-1</sup> X Sin Ix/cos- Ix
26 Sin-1 [-1/2] = ______. ∏/3 -∏/6 -∏/3 ∏/6
27 If Cosθ =0, Then θ= nπ/2 (2n + 1)π/2 (2n - 1)π/2 (n ±1)π/2
28 In the figure angle A is = 15 60 90 20
29 If you looking a high point from the ground then the angle formed is Angle of elevation Angle of depression Right angle Horizon
30 Area of ΔABC= ab sin&nbsp;α 1/2 ab sin&nbsp;α 1/2 ac Sin&nbsp;γ 1/2 ac Sin&nbsp;β
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