Question # 1

The condition for polynomial equation ax2 + bx + c = 0 to be quadratic is

Choose an answer

a > 0

a < 0

a≠ 0

a≠ 0,b ≠ 0

The discriminant of the quadratic equation ax²+ bx + c = 0 is

Choose an answer

b²+ 4ac

b²- 4ac

4ac - b²

a²- 4ac

The roots of the equation ax²+ bx + c = 0 are real and equal if

Choose an answer

b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

The roots of the equation ax²+ bx + x = 0 are real and distinct if

Choose an answer

b²- 4ac <0

b²- 4ac = 0

b²- 4ac > 0

None of these

The positive value of k for which the equation x2 + kx + 64 = 0 has one of the roots 0

Choose an answer

4

64

8

All values of k

The standard form of the quadratic function f(x) = -x² +4x+2, is

Choose an answer

(x-2)²+6

-(x-2)² + 6

(x-3)²+5

(x+4)²-7

The product of cube roots of unity is

Choose an answer

Zero

1

-1

None of these

(x +a)(x +b)(x +c)(x +) = k, k≠0 is reducible to quadratic form only if

Choose an answer

a+b=c+d

a+c=b+d

a+d=b+c

All are correct

(1+w)(1+w2)(1+w4)(1+w8)....50 factors

Choose an answer

0

-1

1

2

Choose an answer

Lies between 4 and 7

Lies between 5 and 9

Has no value between 4 and 7

Has no value between 5 and 9

If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is

Choose an answer

ay2 +2by+c=0

ay2+2by+4c=0

ay2+2by+c=0

ay2+by+4c=0

Choose an answer

If a polynomial P(x) is divided by x + a, then the remiander is

Choose an answer

P(a)

P(-a)

P(0)

None of these

If x³- x²+ 5x+ 4 is divided by x - 2, then the reminder is

Choose an answer

0

2

18

14

w¹¹= ______

Choose an answer

0

1

w

w²

If 3x⁴+ 4x³+ x - 5 is divided by x + 1, then the reminder is

Choose an answer

0

7

-7

5

Choose an answer

The roots of (b-c)x2+(c-a) x+a-b=0 are equal if

Choose an answer

2b = a+c

2a = b+c

2c = a+b

a + b + c =0

The equation (cos p - 1)x²+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval

Choose an answer

(0, 2π)

(-π, -0)

(0,π)

None of these

Another name of quadratic equation is

Choose an answer

Polynomial

2nd degree polynomial

Linear equation

simaltaneous equations

If S and P are the sum and the product of roots of a quadratic equation, then the quadratic equation is

Choose an answer

x²+ Sx - P = 0

x²- Sx + P = 0

x²- Sx - P = 0

X²+ Sx + P = 0

The graph of the quadratic equation is

Choose an answer

Straight line

Circle

Parabola

elipse

Roots of the equation x²- x = 2 are

Choose an answer

{2, -1}

{1, 0}

{2, 1}

{-2, 1}

Choose an answer

0

1

2

3

If a polynomial P(x) is divided by x - a, then the remainder is

Choose an answer

P(o)

P(-a)

P(a)

None of these

The value of x for which the polynomials x2 - 1 and x2 -2x + 1 vanish simultaneously is

Choose an answer

2

1

-1

-2

Roots of the equation 9x²- 12x + 4 = 0 are

Choose an answer

Real and equal

Real and distinct

Complex

None of these

The roots of the equation ax²+ bx + c = 0 are complex/imaginary if

Choose an answer

b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

The cube roots of 8 are

Choose an answer

Polynomial of degree 0

Polynomial of degree 2

Quadratic equation

None of these

More Classes

Other Links

ECAT Pre General Science Mathematics Chapter 6 Quadratic Equations Online Test MCQs With Answers

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer