The nature of the roots of the equation 2x2 -7 x + 3 = 0 is
Imaginary
Real and rational
Rational
Equal
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 b2 - 4 ac is a perfect square, then the roots of the quadratic equation are
Real and unequal
Irrational
If α and β are the roots of the quadratic equation ax2 + bx + C = 0, then αβ =
b/a
c/a
-b/a
-c/a
If the equation 2x2 + 3x + k = 0 has only one solution then k = ______________
-9/8
9/8
0
The nature of the roots of the equation 3x2 - 7x + 5 = 0 is
If α and β are the roots of the quadratic equation ax2 + bx + c = 0, then α + β=
An equation in which the highest power of the variable is ___________, is called a quadrate equation
None of these
The roots of a quadratic equation when b2 - 4ac is positive are
Real and un equal
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
