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)
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)
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
Find the discriminant of the quadratic equation 5x2 + 12x - 9 = 0
224
324
342
424
Find the value of k for which the equation 4x2 - 12x + k = 0 has equal roots
8
6
7
9
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 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 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
An equation in which the highest power of the variable is ___________, is called a quadrate equation
None of these
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
