ECAT Mathematics MCQ's Test For Full Book With Answers

ECAT Mathematics MCQ's Test For Full Book

Sr. # Questions Answers Choice
1 The roots of the equations will be equal if b2- 4ac is Positive Negative 1 Zero
2 A function from X to Y is written as f : X to Y f : Y to Y
3 If w is a cube root of unity then 1 + w + w2= ______ 1 2 0 -1
4 If the roots of 3x2+kx + 12 = 0 are equal then k = ______
5 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
6 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
7 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
8 If one root of the equation x2- 3x + a = 0 is 2 then a = ______ 0 1 2 3
9 Roots of the equation 9x2- 12x + 4 = 0 are Real and equal Real and distinct Complex None of these
10 Roots of the equation 2x2- 7x + 3 = 0 are Rational Irrational Complex None of these
11 Roots of the equation x2+ 5x - 1 = 0 are Rational Irrational Complex None of these
12 Roots of the equation x2+ 2x + 3 = 0 are Real and equal Real and distinct Complex None of these
13 The roots of the equation ax2+ bx + x = 0 are real and distinct if b<sup>2</sup>- 4ac &lt;0 b<sup>2</sup>- 4ac = 0 b<sup>2</sup>- 4ac &gt; 0 None of these
14 The roots of the equation ax2+ bx + c = 0 are complex/imaginary if b<sup>2</sup>- 4ac &lt; 0 b<sup>2</sup>- 4ac = 0 b<sup>2</sup>- 4ac &gt; 0 None of these
15 The roots of the equation ax2+ bx + c = 0 are real and equal if b<sup>2</sup>- 4ac &lt; 0 b<sup>2</sup>- 4ac = 0 b<sup>2</sup>- 4ac &gt; 0 None of these
16 If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is x<sup>2</sup>+ Sx - P = 0 x<sup>2</sup>- Sx + P = 0 x<sup>2</sup>- Sx - P = 0 X<sup>2</sup>+ Sx + P = 0
17 c/a -c/a b/a -b/a
18 If 3x4+ 4x3+ x - 5 is divided by x + 1, then the reminder is 0 7 -7 5
19 If x3- x2+ 5x+ 4 is divided by x - 2, then the reminder is 0 2 18 14
20 If x4- 10x2- 2x + 4 is divided by x + 3, then the reminder is 1 0 4 None of these
21 If x3+ 4x3- 2x +5 is divided by x - 1, then the reminder is 8 6 4 None of these
22 If a polynomial P(x) is divided by x + a, then the remiander is P(a) P(-a) P(0) None of these
23 2x3+ 3x + 9 is a ______ Polynomial of degree 3 Quadratic equation Cubic equation Polynomial of degree 2
24 If x3+ ax2- a2x - a3is divided by x + a, then the remainder is 0 a<sup>3</sup> 2a<sup>3</sup> -2a<sup>3</sup>
25 If a polynomial P(x) is divided by x - a, then the remainder is P(o) P(-a) P(a) None of these
26 The quadratic formula is
27 The solution set of x2- 5x + 6 = 0 is {1, 3} {2, 3} {1, 2} None of these
28 5x3+ 3x - is a ______ Polynomial of degree 3 Polynomial of degree 2 Polynomial of degree 1 Polynomial of degree 0
29 Polynomial of degree 0 Polynomial of degree 2 Quadratic equation None of these
30 Linear equation Quadratic equation Cubic equation None of these
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