If α and β are the roots of ax2 + bx + c = 0 and if p x2 + qx + r = 0 has roots 1-α/α and 1-β/β then r=
a+2b
a+b+c
ab+bc+ca
abc
If both roots of the quadratic equation x2 - 2kx + k2 + k- 5=0 are less than 5, than k lies in the interval.
(5, 6)
(6,∞)
(-∞, 4)
(4, 5)
The quadratic equation x2 - 6x + a = 0 and x2 - cx + 6 = 0 have one root in common. The other roots of the first and second equations are integers in the ratio 4:3. Then the common root is
1
4
3
2
If the equation 2x2 + 3x + k = 0 has only one solution then k = ______________
-9/8
9/8
0
If the difference between the roots of the equation x2 + ax +1 = 0 is less than √5, then the set of possible values of a is
( 3, ∞)
(-∞, -3)
(-3, 3)
(-3, ∞)
The non zero root of the equation x (x - 6) = 0 is
-6
6
-3
Find the discriminant of the quadratic equation 5x2 + 12x - 9 = 0
224
324
342
424
If α, β are the roots of the equation ax2 + bx + c = 0, what is the value of ( a α+b) -1 + ( a β + b) -1?
a/bc
b/ ac
-b/ac
-a/bc
The nature of the roots of the equation 2x2 -7 x + 3 = 0 is
Imaginary
Real and rational
Rational
Equal
Find the roots of the equation 3x2 - 300 = 0
3 and 6
6 and 5
10 and -10
5 and -5
