Mathematics ECAT Pre Engineering Chapter 6 Quadratic Equations Online Test With Answers

image
image
image

Mathematics ECAT Pre Engineering Chapter 6 Quadratic Equations Online Test

Sr. # Questions Answers Choice
1 If the roots of ax2+ bx + c =0 are equal in magnitude but opposite in sign, then a = 0 b = 0 c = 0 None of these
2 b = c a = c a = c b = 0
3 The quadratic equation 8 sec2θ- 6 secθ+1 = 0 has Infinitely many roots Exactly two roots Exactly four roots No roots
4 If a > 0, b > 0, c > 0, then the roots of the equation ax2+ bx + c = 0 are Real and negative Non-real with negative real parts Real and positive Nothing can be said
5 If one root of the equation ix2- 2(i + 1) x +(2 - i) = 0 is 2 - i, then the other root is -i 2 + i i 2 - i
6 If the roots of ax2+ b = 0 are real and distinct then ab > 0 a = 0 ab < 0 a > 0, b > 0
7 If ax2+ bx + x = 0 is satisfied by every value of x, then b = 0, c = 0 c = 0 b = 0 a = b = c = 0
8 Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always Positive Negative Real None of these
9
10
11 The condition for polynomial equation ax2+ bx + c = 0 to be quadratic is
12
13 4 6 8 10
14 2 4 8 16
15 0 1 2 3
16 The cube roots of 8 are
17 1 -1 5 2
18 -1 0 2 1
19
20
21
22 0 1 2 None of these
23 Which of the following is a factor of x3- 3x2+ 2x - 6 x + 2 x + 3 x - 3 x - 4
24 Find a if 1 is a root of the equation x2+ ax + 2 = 0 3 -3 2 0
25 If x - 2 is a factor of ax2- 12x + a = 2a, then a = ______ -5 5 0 1
26 If x2- 7x + a has remainder 1 when divided by x + 1, then a = ______ -7 7 0 None of these
27 Two quadratic equation in which xy term is missing and the coefficients of x2and y2are equal, give a linear equation by ______ Addition Subtraction Multiplication Division
28 The polynomial x - a is a factor of the polynomial f(x) if and only if f(a) is positive f(a) is negative f(a) = 0 None of these
29 The product of the four fourth roots of unity is 0 1 -1 None of these
30
Download This Set
×