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

In quadratic equation `ax^(2)+bx+c=0`, if discriminant is `D=b^(2)-4ac`, then roots of the quadratic equation are
(1) Real and distinct, if `Dgt0`
(2) Real and equal (i.e. repeated roots), D=0. ltbr. (3) Non-real (i.e. imaginary). If `Dlt0`

A

real and distinct, if `D gt 0`

B

real and equal (repeated roots), if `D=0`

C

non-real (imaginary), if `D lt 0`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN |Exercise Part -II Example|61 Videos
  • MISCELLANEOUS

    ALLEN |Exercise Part -II Example Some worked out Examples|1 Videos
  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos
  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-IV|7 Videos

Similar Questions

Explore conceptually related problems

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

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

Find the roots of the quadratic equation 6x^(2)-x-2=0 .

Find the roots of the quadratic equations by factorisation: 3x^(2)-5x+2=0

The roots of the quadratic equation (a + b-2c)x^2- (2a-b-c) x + (a-2b + c) = 0 are

State the roots of quadratic equation ax^(2)+bx+c=0" if "b^(2)-4ac gt0

Find the roots of the quadratic equations by factorisation: 2x^(2)-x+(1)/(8)=0

If the roots of the equation x^2-2a x+a^2+a-3=0 are real and less than 3, then

Find the nature of the roots of the quadratic equations. If real roots exist, find them 2x^(2)-3x+5=0

Find the nature of the roots of the quadratic equations. If real roots exist, find them 2x^(2)-6x+3=0