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
0
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
1
2
3
If b2 - 4 ac is a perfect square, then the roots of the quadratic equation are
Real and unequal
Irrational
Equal
Rational
Find the value of m so that the roots of the equation (4-m)x2 + (2m +4)x + ( 8m +1) = 0 may be equal.
1,3
1,2
0,3
0,2
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
4
If the equation 2x2 + 3x + k = 0 has only one solution then k = ______________
-9/8
9/8
If α and β are the roots of an equation, then the equation is
x2 - ( α+β) x + α β = 0
x2 + ( α+β) x + α β = 0
x2 + ( α-β) x + α β = 0
Find the discriminant of the quadratic equation 5x2 + 12x - 9 = 0
224
324
342
424
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 nature of the roots of the equation 3x2 - 7x + 5 = 0 is
Imaginary
