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
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
0
Find the discriminant of the quadratic equation 5x2 + 12x - 9 = 0
224
324
342
424
The non zero root of the equation x (x - 6) = 0 is
-6
6
-3
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 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 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
Equal
Rational
Real and unequal
The roots of a quadratic equation when b2 - 4ac is positive are
Real and un equal
Irrational
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
