Quadratic Equations

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Question

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Question 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

6. 1
7. 0
8. 3
9. 2
Answer
14814

Question 2 :

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

1. -2
2. 3
3. 2
4. 1
Answer
14815

Question 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  ........ .

1. ( 5, 6 )
2. ( 6, ∞ ;)
3. ( ∞ ;, 4 )
4. ( 4, 5 )
Answer
14816

Question 4 :

Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation

1. x²; + 18x + 16 = 0
2. x² -; 18x + 16 = 0
3. x²; + 18x -; 16 = 0
4. x² -; 18x -; 16 = 0
Answer
14817

Question 5 :

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

1. 0, 1
2. -1, 1
3. 0, -1
4. -1, 2
Answer
14818