ECAT Mathematics Chapter 6 Quadratic Equations Online Test With Answers

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ECAT Mathematics Chapter 6 Quadratic Equations Online Test

Sr. # Questions Answers Choice
1 There are ______ basic techniques for solving a quadratic equation Two Three Four None of these
2 (2 + w) (2 + w2) = ______ 1 2 3 0
3 w28+ w38= ______ 0 1 w -1
4 w73= ______ 0 1 w w<sup>2</sup>
5 w29= ______ 0 1 w w<sup>2</sup>
6 For any integer k, wn= ______ when n = 3k 1 2 0 -4
7 The product of cube roots of unity is Zero 1 -1 None of these
8 If b2- 4ac = 0 then the roots of the equation are Real and distinct Real and equal Imaginary None of these
9 If b2- 4ac is positive then the roots of the equation are Real Imaginary Positive Negative
10 The roots of the equation will be irrational if b2- 4ac is Positive and perfect square Positive but not a perfect square Negative Zero
11 The roots of the equations will be equal if b2- 4ac is Positive Negative 1 Zero
12 If w is a cube root of unity then 1 + w + w2= ______ 1 2 0 -1
13 If the roots of 3x2+kx + 12 = 0 are equal then k = ______
14 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
15 If one root of the equation x2- 3x + a = 0 is 2 then a = ______ 0 1 2 3
16 Roots of the equation 9x2- 12x + 4 = 0 are Real and equal Real and distinct Complex None of these
17 Roots of the equation 2x2- 7x + 3 = 0 are Rational Irrational Complex None of these
18 Roots of the equation x2+ 5x - 1 = 0 are Rational Irrational Complex None of these
19 Roots of the equation x2+ 2x + 3 = 0 are Real and equal Real and distinct Complex None of these
20 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
21 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
22 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
23 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
24 c/a -c/a b/a -b/a
25 If 3x4+ 4x3+ x - 5 is divided by x + 1, then the reminder is 0 7 -7 5
26 If x3- x2+ 5x+ 4 is divided by x - 2, then the reminder is 0 2 18 14
27 If x4- 10x2- 2x + 4 is divided by x + 3, then the reminder is 1 0 4 None of these
28 If x3+ 4x3- 2x +5 is divided by x - 1, then the reminder is 8 6 4 None of these
29 If a polynomial P(x) is divided by x + a, then the remiander is P(a) P(-a) P(0) None of these
30 2x3+ 3x + 9 is a ______ Polynomial of degree 3 Quadratic equation Cubic equation Polynomial of degree 2
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