Question # 1

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

Choose an answer

p(x)

x-c

c

P(c)

The roots of ax2 + bx + c = 0 are always unequal if

Choose an answer

b2 - 4ac = 0

b2- 4ac ≠ 0

b2- 4ac > 0

b2- 4ac ≥ 0

Choose an answer

Only one real solution

Exactly three real solution

Exactly one rational solution

Non-real roots

If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is

Choose an answer

0

±1

±5

±7

Choose an answer

c/a

-c/a

b/a

-b/a

Roots of the equation x²- 7x + 10 = 0 are

Choose an answer

{2, 5}

{-2, 5}

{2,5}

{-2,-5}

w^-1= ______

Choose an answer

0

1

w

w²

If b²- 4ac = 0 then the roots of the equation are

Choose an answer

Real and distinct

Real and equal

Imaginary

None of these

A quadratic equation has two

Choose an answer

roots

degree

variables

constants

If the roots of ax²+ bx + c =0 are equal in magnitude but opposite in sign, then

Choose an answer

a = 0

b = 0

c = 0

None of these

The roots of the equations will be equal if b²- 4ac is

Choose an answer

Positive

Negative

1

Zero

Choose an answer

The maximum value of the quadratic function f(x) = -2x2+20x,is

Choose an answer

4

3

50

7

Roots of the equation x²+ 2x + 3 = 0 are

Choose an answer

Real and equal

Real and distinct

Complex

None of these

The set of real roots of the equation log_{(5x + 4)}(2x +3)³- log_{(2x + 3)}(10x²+ 23x + 12) = 1 is

Choose an answer

{-1}

{-3/5}

Empty set

{-1/3}

Choose an answer

Linear equation

Quadratic equation

Cubic equation

None of these

Sum of all the four forth roots of unity is

Choose an answer

1

-1

i

0

w²⁸+ w³⁸= ______

Choose an answer

0

1

w

-1

Roots of the equation 2x²- 7x + 3 = 0 are

Choose an answer

Rational

Irrational

Complex

None of these

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

Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always

Choose an answer

Positive

Negative

Real

None of these

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

Choose an answer

0

7

-7

5

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

Roots of the equation x²- x = 2 are

Choose an answer

{2, -1}

{1, 0}

{2, 1}

{-2, 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