Mathematics-Quadratic Equation

Test Preparation on Mathematics-Quadratic Equation

1.

The value of a for which the sum of the squares of the roots of the equation x²- ( a - 2 ) x - a - 1 = 0 assume the least value is

11
20
33
42

2.

If the roots of the equation x²- b x + c = 0 be two consecutive integers, then b2 - 4 c equals

1-2
23
32
41

3.

If both the roots of the quadratic equation x²- 2kx + k + k - 5 = 0 are less than 5,then k lies in the interval

1A
2B
3C
4D

4.

Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbersare the roots of the quadratic e uation

1x2+ 18x + 16 = 0
2x2- 18x + 16 = 0
3x2+ 18x - 16 = 0
4x2- 18x - 16 = 0

5.

If ( 1 - p ) is a oot of quadratic equation x²+ px + ( 1 - p ) = 0, then the roots are

10, 1
2- 1, 1
30, - 1
4- 1, 2

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