Question # 1

w²⁹= ______

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0

1

w

w²

A quadratic equation has two

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roots

degree

variables

constants

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The value of k (k > 0) for which the equation x²+ kx + 64 = 0 and x²- 8x + k = 0 both will have real roots is

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8

-16

-64

16

The graph of the quadratic equation is

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Straight line

Circle

Parabola

elipse

The quadratic formula is

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(x-1) is a factor of

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2x³-3x²+9

2x³-5x-8

48x^2-46x-9

x⁹-1

If w is a cube root of unity then 1 + w + w²= ______

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1

2

0

-1

If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is

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0

2

1

5

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(-1, 2)

(-1, 1)

(1, 2)

{-1}

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

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ab > 0

a = 0

ab < 0

a > 0,b > 0

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

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Positive

Negative

Real

None of these

For any integer k, wⁿ= ______ when n = 3k

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1

2

0

-4

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

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(0, 2π)

(-π, -0)

(0,π)

None of these

In quadratic equation f(x) = ax²,if a >0, then the graph of parabola

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Opens up

Opens down

close up

symmetric w.r.t.x.axis

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

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Real and equal

Real and distinct

Complex

None of these

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

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Only one real solution

Exactly three real solution

Exactly one rational solution

Non-real roots

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

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P(o)

P(-a)

P(a)

None of these

If x-2 and x-1 both are factors of x³-3x³+2x-4p, then P must equal to

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1

2

0

-2

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

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{2, 5}

{-2, 5}

{2,5}

{-2,-5}

Which of the following is a factor of x³- 3x²+ 2x - 6

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x + 2

x + 3

x - 3

x - 4

4^1+x+ 4^1-x= 10 is called

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Reciprocal equation

Exponential equation

Radical equation

None of these

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

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7

-2

6

1

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Two real roots

Two positive roots

Two negative roots

One positive and one negative root

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4

6

8

10

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

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0

7

-7

5

The roots of the equation x2 +6x-7=0,are

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1

2

1 and -7

-7

The product of the four fourth roots of unity is

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0

1

-1

None of these

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

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