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

In the equation ax^(2)+bx+c=0 , it is given that D=(b^(2)-4ac)gt0. Then, the roots of the equation are

Assertion (A) : The roots of the quadratic equation x^(2)+2x+2=0 are imaginary. Reason (R ) : If discriminant D=b^(2)-4ac lt 0 then the roots of the quadratic equation ax^(2)+bx+c=0 are imaginary.

Find the root of the quadratic equation bx^2-2ax+a=0

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

The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 If the roots of a quadratic equation ax^(2)+ bx+ c=0 " are "alpha and beta, then the quadratic equation having roots alpha and beta is

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

In a quadratic equation ax^(2)+bx+c=0 if 'a' and 'c'are of opposite signs and 'b' is real, then roots of the equation are

The equation formed by multiplying each root of ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0 If the roots of a quadratic equation are m+n and m-n , then the quadratic equaiton will be :