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#### SIMILAR QUESTIONS

Q1

The real values 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

Q2

If p and q are distinct primes and x2 – px + = 0 has distinct positive roots, then p + equals

Q3

The real values of a for which the quadratic equation 3x2 + 2 (a2 + 1) x+(a2 – 3a + 2) = 0 possesses roots opposite signs lie in

Q4

If abc Ïµ R and a + b + c = 0, then the quadratic equation 3 ax2 + 3ax2 + 2bx + c = 0 has

Q5

Let f (x) = ax2 + bx + cac, Ïµ R and a ≠ 0. Suppose (x) > 0 for all x Ïµ R.

Let g (x) = f (x) + f ’ (x) + f ”(x). Then

Q6

If b < 0, then the roots x1 and x2 of the equation 2x2 + 6x + b = 0, satisfy the condition (x1/x2) < k where k is equal to.

Q7

If ax2 + bx + cabc Ïµ R has no real zeros, and if c < 0, then,

Q8

If x is real, then the maximum value of

Q9

If both the roots of the equation x2 – 6ax + 2 – 2a + 9a2 = 0 exceed 3, then

Q10

Let α, β be the roots of the equation x2 – ax + b = 0 and An = αn + βn