Mathematics ECAT Pre Engineering Online Test With Answers

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Mathematics ECAT Pre Engineering Online Test

Sr. # Questions Answers Choice
1 If f(x) = x2then f(-2) is -2 2 4 -4
2
3 If f(x) = x2then f(0) is 0 1 2 none of these
4 If f(x) = x2then f(0) is 0 1 2 none of these
5 f(x) = x<sup>2</sup> f(x<sup>2</sup>) = x f(x) = x none of these
6 If y is an image of x under the function f, then we write y = f(x) x = f(y) y = x none of these
7 There are ______ basic techniques for solving a quadratic equation Two Three Four None of these
8 image pre-image constant none of these
9 (2 + w) (2 + w2) = ______ 1 2 3 0
10 images pre-images constants none of these
11 w28+ w38= ______ 0 1 w -1
12 w73= ______ 0 1 w w<sup>2</sup>
13 w29= ______ 0 1 w w<sup>2</sup>
14 For any integer k, wn= ______ when n = 3k 1 2 0 -4
15 range of f domain of f both (a) and (b) none of these
16 The product of cube roots of unity is Zero 1 -1 None of these
17 If b2- 4ac = 0 then the roots of the equation are Real and distinct Real and equal Imaginary None of these
18 x = f(y) y = f(x) x = f(x) y = f(y)
19 If b2- 4ac is positive then the roots of the equation are Real Imaginary Positive Negative
20 A function from X to X is denoted as f : X to Y f : Y to Y
21 The roots of the equation will be irrational if b2- 4ac is Positive and perfect square Positive but not a perfect square Negative Zero
22 The roots of the equations will be equal if b2- 4ac is Positive Negative 1 Zero
23 A function from X to Y is written as f : X to Y f : Y to Y
24 If w is a cube root of unity then 1 + w + w2= ______ 1 2 0 -1
25 If the roots of 3x2+kx + 12 = 0 are equal then k = ______
26 A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from X to X X to Y Y to X none of these
27 A rule that assigns to each elements x in X a unique element y in Y is called a ____________ domain range function none of these
28 The discriminant of the quadratic equation ax2+ bx + c = 0 is b<sup>2</sup>+ 4ac b<sup>2</sup>- 4ac 4ac - b<sup>2</sup> a<sup>2</sup>- 4ac
29 If one root of the equation x2- 3x + a = 0 is 2 then a = ______ 0 1 2 3
30 Roots of the equation 9x2- 12x + 4 = 0 are Real and equal Real and distinct Complex None of these
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