If the roots of equations x2 + a2 = 8 x + 6 a are real, then
a ∈[2, 8]
a∈[-2, 8]
a∈(2, 8)
a = 4
Let p, q ∈{1, 2, 3, 4, 5}. The no. of equations of the form p x2 + q x + 1 = 0, having real root is
7
8
9
15
Find the discriminant of the quadratic equation 5 x2 + 12 x - 9 = 0
224
324
342
424
The no. of solution for the equation x2 - 5 |x| + 6 = 0 is
4
3
2
1
If ∝ and β be the roots of the equation (x - a) (x - b) = c, c ≠ 0, then the roots of the equation (x - ∝)(x - β) + c = 0 are
a and c
b and c
a and b
(a + b) and (b + c)
The roots for the equation a(x2 + 1) - (a2 + 1) x = 0 are
a and 1/a
a and 1/2 a
a and 2 a
a and -2 a
If the equation m x2 - 4 x + 2 (m + 1) = 0 has real roots, then the value of m is
-2 ≤ m ≤ 1
-1 ≤ m ≤ 1
2 ≤ m ≤ 3
None of these
Find the value of k for which the equation 4 x2 - 12 x + k = 0 has equal roots
6
If 3 + 4 i is a root of the equation x2 + p x + q = 0, then
p = 6 and q = 25
p = 6 and q = 1
p = -6 and p = -7
p = -6 and q = 25
