Find the value of k for which the equation 4 x2 - 12 x + k = 0 has equal roots
8
6
7
9
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)
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
The non zero root of the equation x (x - 6) = 0 is
-6
3
-3
The no. of solution for the equation x2 - 5 |x| + 6 = 0 is
4
2
1
The roots of a quadratic equation when b2 - 4 ac is positive are
Real and unequal
Rational
Irrational
Equal
If b2 - 4 ac is a perfect square, then the roots of the quadratic equation are
The roots of the equation x4 - 8 x2 - 9 = 0 are
±5 and ±1
±4 and ±1
±3 and ±i
±2 and ±i
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
