Question # 1

The roots of the equation 2^2x- 10.2^x+ 16 = 0 are

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2, 8

1, 3

1, 8

2, 3

The solution of equation x2 + 2 = 0 in the set of real number is

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Infinite set

Singleton set

Null set

None of these

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Rational

Irrational

Non-real

Zero

The solution of the quadratic equation x2 -7x + 10=0, is

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2

5

2,5

7

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If the roots of ax²+ bx + c = 0 (a > 0) be greater than unity, then

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a + b + c = 0

a + b + c > 0

a + b + c < 0

None of these

Each complex cube root of unity is square of

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itself

1

-1

the other

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(-1, 2)

(-1, 1)

(1, 2)

{-1}

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

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f(a) is positive

f(a) is negative

f(a) = 0

None of these

If ax + bx + c =0 is satisfied by every value of x,then

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b = 0,c = 0

c = 0

b = 0

a = b = c = 0

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Polynomial of degree 0

Polynomial of degree 2

Quadratic equation

None of these

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

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a+b=c+d

a+c=b+d

a+d=b+c

All are correct

The maximum value of the quadratic function f(x) = 2x2-4x+7,is

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3

5

-3

-5

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

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P(a)

P(-a)

P(0)

None of these

If the roots of ax²- bx - c = 0 change by the same quantity, then the expression in a, b, c that does not change is

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

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Sum of all the four forth roots of unity is

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1

-1

i

0

A quadratic equation has two

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roots

degree

variables

constants

x⁴- 3x³+ 3x + 1 = 0 is called ______

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Reciprocal equation

Exponential equation

Radical equation

None of these

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Only one real solution

Exactly three real solution

Exactly one rational solution

Non-real roots

If the roots of 3x2+kx + 12 = 0 are equal then k = ______

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In quadratic equation y=ax³+bx+c, if b and c are both zero then the graph is

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Symmetric w.r.t.y-axis

Symmetric w.r.t.x-axis

Straight Line

Circle

(x-1) is a factor of

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2x³-3x²+9

2x³-5x-8

48x^2-46x-9

x⁹-1

The quadratic formula is

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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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Another name of quadratic equation is

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Polynomial

2nd degree polynomial

Linear equation

simaltaneous equations

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

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

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

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

if one root of the equation ix2 - 2(i + 1) x +(2 - i)= 0 is 2 - i then the other root is

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-i

2 + i

i

2 - i

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

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