Question # 1

The root of the quadratic equation are

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3

2

1

4

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

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

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Real and equal

Real and distinct

Complex

None of these

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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

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

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-6

2

-2

6

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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

In a quadratic equation with leading co-efficient 1, a student reads the co-obtain the roots as - 15 and -4. The correct roots are

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6, 10

-6, -10

8, 8

-8, -8

If x²- 7x + a has remainder 1 when divided by x + 1, then a = ______

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-7

7

0

None of these

The minimum value of the quadratic function f(x) = 5 x 2-11,is

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7

-7

6

-11

The quadratic equation 8 sec²θ- 6 secθ+1 = 0 has

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Infinitely many roots

Exactly two roots

Exactly four roots

No roots

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(-1, 2)

(-1, 1)

(1, 2)

{-1}

Sum of all the four forth roots of unity is

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1

-1

i

0

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Polynomial of degree 0

Polynomial of degree 2

Quadratic equation

None of these

If a > 0, b > 0, c > 0, then the roots of the equation ax²+ bx + c = 0 are

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Real and negative

Non-real with negative real parts

Real and positive

Nothing can be said

For the equation |x²| + |x| -6 =0, the roots are

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One and only one real number

Real with sum one

Real with sum zero

Real with product zero

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1

2

0

4

The two parts into which 57 should be divided so that their product is 782 are

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43,14

34,23

33,24

44,13

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

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Polynomial of degree 0

Polynomial of degree 1

Polynomial of degree 2

Polynomial of degree n

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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If b²- 4ac is positive then the roots of the equation are

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Real

Imaginary

Positive

Negative

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Only one real solution

Exactly three real solution

Exactly one rational solution

Non-real roots

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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A polynomial of arbitrary degree

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f(x) = o

f(x) = x

f(x) = a

f(x) = ax + b,a ≠ 0

w⁷³= ______

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0

1

w

w²

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0

-1-w²

In quadratic equation, if the replacement of y with -y leaves the equation unchanged, then the graph is

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Straight line

Circle

Hyperbola

Symmetric w.r.t.0

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

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