The nature of the roots of the equation 3x2 - 7x + 5 = 0 is
Imaginary
Equal
Rational
Real and unequal
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 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 nature of the roots of the equation 2x2 -7 x + 3 = 0 is
Real and rational
If α and β are the roots of the quadratic equation ax2 + bx + c = 0, then α + β=
b/a
c/a
-b/a
-c/a
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
If the equation 2x2 + 3x + k = 0 has only one solution then k = ______________
-9/8
9/8
0
If α,β are the roots of the . roots of the equation x2 - 2x - 1 = 0 then what is the value of α2.β-2 + α-2.β2?
-2
30
34
If the roots of the quadratic equation x2+Px + q = 0 are tan 30o and tan 15o, then value of 2+ q-p is
If α, β are the roots of the equation x2 + px + q = 0. Find the value of α3β + α β3
q (p2-2q)
P (p2-2q)
q (P -2q)
P (P - 2q)
