Question # 1

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

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

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7

-2

6

1

If sinαand cosαare the roots of the equation px²+ qx + r =0, then

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p²- q²+ 2pr = 0

(p + r)²= q²- r²

p²+ q²- 2pr = 0

(p - r)²= q²+ r²

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Only one real solution

Exactly three real solution

Exactly one rational solution

Non-real roots

Two quadratic equation in which xy term is missing and the coefficients of x²and y²are equal, give a linear equation by ______

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Addition

Subtraction

Multiplication

Division

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

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x + 2

x + 3

x - 3

x - 4

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

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

w^-12= ______

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0

1

w

w²

The vertex of the graph of the quadratic function f(x) =-x2+6x+1,is

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(-3,10)

(-3,-10)

(3,10)

(3,-10)

w²⁸+ w³⁸= ______

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0

1

w

-1

w^-1= ______

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0

1

w

w²

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

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Vertex of parabola

Co-ordinates of parabola

Roots of the equation

Coefficient of the equation

w⁴= ______

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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

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

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Polynomial of degree 0

Polynomial of degree 1

Polynomial of degree 2

Polynomial of degree n

The sum of the roots of the equation x2 -6x +2 = 0 is

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-6

2

-2

6

The quadratic formula is

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w⁷³= ______

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0

1

w

w²

The standard parabolic form of the equation f(x) = x² +4 x +1 is

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x(x+4)+1

(x+2)²-3

(x+4)³ + 9

x(x-2)²+1

Roots of the equation x²+ 7x + 12 = 0 are

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{3, -4}

{-3, 4}

{3, 4}

{-3, -4}

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-1

0

2

1

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

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