Home
Class 11
PHYSICS
In quadratic equation ax^(2)+bx+c=0, if ...

In quadratic equation `ax^(2)+bx+c=0`, if discriminant `D=b^(2)-4ac`, then roots of quadratic equation are:

A

Real and distinct, if `D gt 0 `

B

Real and equal (i.e., repeated roots), if `D=0`

C

Non-real (i.e., imaginary), if `D lt 0`

D

All of the above are correct

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise BEGINNER S BOX 7|2 Videos
  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise BEGINNER S BOX 8|2 Videos
  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise BEGINNER S BOX 5|1 Videos
  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos

Similar Questions

Explore conceptually related problems

The quadratic equation ax^(2)+bx+c=0 has real roots if:

Assertion (A), The equation x^(2)+ 2|x|+3=0 has no real root. Reason (R): In a quadratic equation ax^(2)+bx+c=0, a,b,c in R discriminant is less than zero then the equation has no real root.

Let alpha and beta be the roots of the quadratic equation ax^(2)+bx+c=0, c ne 0, then form the quadratic equation whose roots are (1-alpha)/(alpha) and (1-beta)/(beta) .

Let a,b,c,d be distinct real numbers and a and b are the roots of the quadratic equation x^2-2cx-5d=0 . If c and d are the roots of the quadratic equation x^2-2ax-5b=0 then find the numerical value of a+b+c+d .

Solve the quadratic equation 2x^2-4x+3=0 by using the general expressions for the roots of a quadratic equation.

If alpha, beta are the roots of the quadratic equation ax^(2) + bx + c = 0 then form the quadratic equation whose roots are palpha, pbeta where p is a real number.

The roots alpha and beta of the quadratic equation ax^(2)+bx+c=0 are and of opposite sing. The roots of the equation alpha(x-beta)^(2)+beta(x-alpha)^(2)=0 are