Nature Of Roots
Trending Questions
Q.
Write the discriminant of the equation and determine the nature of the roots.
Q.
Write the discriminant of and determine the nature of its root.
Q.
For what value of m does the equation, x2+2x+m=0 has two distinct real roots?
m = 1
m < 1
m >1
m > 2
Q. The number of real roots of the equation (x−1)2+(x−2)2+(x−3)2=0 is :
- 1
- 2
- 3
- None of these
Q. What will be the nature of roots of quadratic equation 2x2−4x+3=0 ?
Q.
Choose the correct options: the equation (m being real), mx2+2x+m=0 has two distinct roots if -
m = 1
-1 < m < 1
m = -1
- none of the above
Q. The roots of a quadratic equation x2−4x−log3a=0 are real. Then what is the least value of a ?
- 64
- 164
- 181
- 81
Q. If a and b are real and a≠b then show that the roots of the equation (a−b)x2+5(a+b)x−2(a−b)=0 are real and unequal.