Question

Solution

Correct option is

1    Both are semi – open; 1 and 2 are not included.

SIMILAR QUESTIONS

Q1

Let α,β be the roots of the equation x2 – px + r = 0 and 2β be the roots of the equation x2 – qx + r = 0. Then the value of r is

Q2

The number of real roots of the equation (x + 3)4 + (x + 5)4 = 16 is

Q3

All the values of m for which both the roots of the equation x2 – 2mx + m2– 1 = 0 are greater than – 2 but less than 4, lie in the interval

Q4

The expression ax2 + bx + c has the same sign as of a if

Q5

If the graph of the function y = 16x2 + 8(a + 5) x – 7a – 5 is strictly above the x – axis, then ‘a’ must satisfy the inequality

Q6

If tan A and tan B are the roots of the quadratic equation x2 – px + q = 0, then the value of sin2 (A + B) is

Q7

If x2 – 4x + log1/2 a does not have two distinct roots, then the maximum value of a

Q8

If the roots of the equation bx2 + cx + a = 0 be expression, then for all real values of x, the expression 3b2 x2 + 6bcx + 2c2 is

Q9

If , for all x Ïµ R, then

Q10

If the roots the equation ax2 + bx + c = are real and of opposite sign then the roots of the equation α (x – β)2 + β (x – α)2 = 0 are