Find the value of k for which the equation 4 x2 - 12 x + k = 0 has equal roots
8
6
7
9
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
The no.of real roots of the equation x2 - 3|x| + 2 = 0 are
2
3
4
1
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
a = 4
Find the discriminant of the quadratic equation 5 x2 + 12 x - 9 = 0
224
324
342
424
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
If b2 - 4 ac is a perfect square, then the roots of the quadratic equation are
Real and unequal
Irrational
Equal
Rational
The roots of a quadratic equation when b2 - 4 ac is positive are
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 non zero root of the equation x (x - 6) = 0 is
-6
-3
