ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 A complex number "1 + i" can also be expressed as" 2(Cos60<sup>o</sup> + i sin 30<sup>o</sup>) Cos 60<sup>o</sup> + i sin 60<sup>o</sup> (Cos 60<sup>o</sup> + i sin 60<sup>o</sup>) Cos 30<sup>o</sup> + i sin 30<sup>o</sup>
2 Solving the equation 22x-3 x 2x+2 + 25 = 0 for 2 2x -3 x 2x+2 +25 = 0 (1,4) (8,4) (2,3) (5,9)
3 Which of the following are valid roots of 3x3 - 8x2 - 5x + 6 -1 3 1 Both A and B
4 Differentiate the expression (x-1)(x+2)2 with respect to x gives 2x(x+2) 2(x-1)(x+2) 2(x+1) 3x (x+2)
5 On simplifying the express in sin2O/1+Cos 2O the result is. Sin O CotanO Tan O Sec O
6 Find all the angle between -360o and 180o when sinx = 1/2? -30<sup>o</sup> , -150<sup>o</sup> 30<sup>o</sup> , 150<sup>o</sup> 30<sup>o</sup> , -150<sup>o</sup> -30<sup>o</sup>, 150<sup>o</sup>
7 If 3x2-6 - 9x+1 = 0 then the valid values of are. (4,2) (2,1) (0,1) (3,-3)
8 Which of the following statement is true 16<sup>1/3</sup>x 16<sup>1/6</sup> = 4 9<sup>1/3</sup> x9<sup>1/6</sup> =8<sup>11/8</sup> 9<sup>1/3</sup> x9<sup>1/6</sup> = 9<sup>1/8</sup> All of these
9 Solving the eqution x2+(a+b) x +ab=0 for gives: x = -a. x = b x = a, x =-b x=-a, x=-b x =a, x =b
10 f 2x -1/x2 -x-1 dx = _______________ In (2x-1)+c (2x-1)+c 0 ln (x<sup>2</sup>-x+1)+c
11 The minimum value of the function f(x) = x2 - x - 2 is. -9/2 -1 -9/4 0
12 The trigonometric equation contains............. trigonometric functions At least one At most one Exactly one None
13 The projection of -2i + 3j+7k on 2j + k is 13/5 13/4 13/ square 5 13
14 2 x + 3 < 0 is. Inequality Equality Identity None
15 A line segment whose end points lie on a circle is called the Arc of the circle Centre of circle Chord of circle Radius of circle
16 The y intercepts and the slpe of the line expressed by line expressed by 3x - 2y + 6 = 0 is 3/2, -3 -3/3 , -3/2 -3,-3/2 -3,-3
17 Let the real valued function F and G be defined by f(x) = 2 x + 1 and g(x) = x2 -x . The expression fg (x) is given by? 2<sup>x2</sup> - x+1 2<sup>x2</sup> - 2x +1 2<sup>x2</sup> -x + 2 x<sup>2</sup> -x +1
18 Two straight line are given as M:y = -1/3 x+2 which of the following statement is correct M &amp; N are parallel M &amp; N are not intersect M &amp; N is perpendicular M &amp; N are intersect at multiple
19 Which of the following points is a pont of intersection of the curve x+y = 8 and the straight line 2x - y =2. -2,-2 2,2 0.4,2.8 0,1
20 There are 50 students in a class out of these 38 used desktop computer 16 out of these used laptop. It is noted that five students neither used laptop of computer. The students having both laptop and computer are A. Based on the information find out the greatest value of A. 16 8 4 0
21 There are 50 students in a class out of these 38 used desktop computers, 16 out of these used laptop. It is noted that five student neither use laptop or computer. The students having both laptop and computer are A. Based on the information find out the greatest value of A 36 4 16 30
22 Find the set of value of m for which expression 2x2 -mx = 2 = 0 have real roots? m&lt; -4 m&gt; 4 -4 &lt; m&gt; 4 None
23 Which one the valid rood of 3x3 - 8x2- 5x + 8 =? 4 3 8 A and B both
24 A particle moving in a straight line with velocity V = (4-t2) where t is the line from a fixed point. The acceleration of the particle after 4 sec is. -8 m/ sec<sup>2</sup> -4 m/sec -8m/sec -4m/sec2
25 22x-3+2 x+1+32 = 0 is gives value of x (3,4) (8,4) (2,3) (5,9)
26 Differentiating the equation (x-1)(x-2)3 with respect to x gives. 2x(x+2) 2(x-1) 2(x-1)(x+2) 3x(x+2)
27 Binomial expansion of an expression A gives 1-8 x + 24 x2-32 x3 -16 x4 the expansion A is given by (1-2x)<sup>4</sup> (1+2x)<sup>4</sup> (1-4x)<sup>4</sup> (1+4x)<sup>4</sup>
28 On simplifying the equation 1+cosx/1+sec x' the result is. Sin x Cosec x Cos x Sec x
29 Find all the angles between 0 and 360 degree such that sinx = -1/2? 210.330 30.210 30.150 330.150
30 Differentiating the equation e2x/x+1 with respect to X is given by (2x +1) e<sup> 2</sup>x/(x+1)<sup>2</sup> 2xe<sup>2x</sup>/(x+1)<sup>2</sup> 2e<sup>2x</sup>/(x+1)<sup>2</sup> (x+1)e<sup>2x</sup>/(x+1)<sup>2</sup>
Download This Set

Is this page helpful?