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
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
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
Find the value of k for which the equation 4 x2 - 12 x + k = 0 has equal roots
8
6
7
9
If x2 - 3 x + 2 be one of the factors of the expression x4 - p x2 + q, then
p = 4 and q = 5
p = 5 and q = 4
p = -5 and q = -4
p = -4 and q = -5
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
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
15
The no. of solution for the equation x2 - 5 |x| + 6 = 0 is
4
3
2
1
If b2 - 4 ac is a perfect square, then the roots of the quadratic equation are
Real and unequal
Irrational
Equal
Rational
The positive value of 'a' for which equations x2 + a x + 64 = 0 and x2 - 8 x + a = 0 will both have real roots is
a = 20
a = 16
a = 8
