Question # 1

If the roots of ax2 + b =0 are real and distinct then

Choose an answer

ab > 0

a = 0

ab < 0

a > 0,b > 0

If a > 0,b > 0, c > 0 then the roots of the equation ax2+ bx + c =0 are

Choose an answer

Real and negative

Non-real with negative real parts

Real and positive

Nothing can be said

The polynomial x - a is a factor of the polynomial f(x) if and only if

Choose an answer

f(a) is positive

f(a) is negative

f(a) = 0

None of these

Choose an answer

Reciprocal equation

Exponential equation

Radical equation

None of these

If the equation x2+2x-3=0 and x2+3x-k=0 have a common root then the non - zero value of k is

Choose an answer

1

3

2

4

If f(x) = ax², and a>0, then the lowest point on the parabola is called.

Choose an answer

Vertex of parabola

Co-ordinates of parabola

Roots of the equation

Coefficient of the equation

In a quadratic equation with leading co-efficient 1, a student reads the co-obtain the roots as - 15 and -4. The correct roots are

Choose an answer

6, 10

-6, -10

8, 8

-8, -8

If one root of the equation x²- 3x + a = 0 is 2 then a = ______

Choose an answer

0

1

2

3

Consider the equation px2 + qx + r = 0 where p,q,r are real The roots are equal in magnitude but opposite in sign when

Choose an answer

q = 0, r = 0,p ≠ 0

p = 0,qr≠ 0

r = 0,pq≠ 0

q = 0, pq≠ 0

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

The synthetic division method is only used to divide a polynomial by

Choose an answer

quadratic equation

binomial

linear equation

monomial

The product of the four fourth roots of unity is

Choose an answer

0

1

-1

None of these

Roots of the equation x²- x = 2 are

Choose an answer

{2, -1}

{1, 0}

{2, 1}

{-2, 1}

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

Choose an answer

Two real roots

Two positive roots

Two negative roots

One positive and one negative root

If a,βare the roots of the equation x2 - 8x + p = 0 and a2 + β2= 40,then value of p is

Choose an answer

8

12

10

14

The roots of the equation 4x - 3.2x+2 + 32 = 0 would include

Choose an answer

1 and 3

1 and 4

1 and 2

2 and 3

(2 + w) (2 + w²) = ______

Choose an answer

1

2

3

0

Choose an answer

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

Choose an answer

0

7

-7

5

(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

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

The roots of px2 - (p-q)x-q=0 are

Choose an answer

equal

Irrational

Rational

Imaginary

If 3x4 +4x3+x5is divided by x+1 , which of the following is the remainder

Choose an answer

7

-2

6

1

More Classes

Other Links

Mathematics ECAT Pre Engineering 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