Question # 1

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

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1

3

2

4

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The cube roots of 8 are

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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

the largest degree of the terms in the polynomials is called

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terms of the polynomial

degree of a polynomial

co-efficient

monomial

x⁴- 3x³+ 3x + 1 = 0 is called ______

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Reciprocal equation

Exponential equation

Radical equation

None of these

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Rational

Irrational

Non-real

Zero

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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If 2x^1/3+ 2x^-1/3= 5, then x is equal to

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1 or -1

2 or 1/2

8 or 1/8

4 or 1/4

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

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{-1}

{-3/5}

Empty set

{-1/3}

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

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4

6

8

10

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

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Positive

Negative

1

Zero

A quadratic equation has two

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roots

degree

variables

constants

Which of the following is factor of x11+a11, where n is an odd integer

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x-a

x+a

2x-a

2x+a

w¹¹= ______

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0

1

w

w²

If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then

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k=0

k=1

k=w

k=w2

w^-12= ______

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0

1

w

w²

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

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equal

Irrational

Rational

Imaginary

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

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Real and equal

Real and distinct

Complex

None of these

There are ______ basic techniques for solving a quadratic equation

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Two

Three

Four

None of these

The product of cube roots of unity is

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Zero

1

-1

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

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

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x²+ Sx - P = 0

x²- Sx + P = 0

x²- Sx - P = 0

X²+ Sx + P = 0

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