If the discriminant of a quadratic equation is greater than zero, then its roots are

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

real and distinct

complex

equal and real

None

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

An equation in the form

a x 2 + b x + c = 0, a ≠ 0

is called quadratic equation in one variable x, where a, b, c are constants.
We know that discriminant (D) determines if a given equation is real or not.

D = b 2 − 4 a c

D > 0

then equation therefore has two different and real roots.
If

D = 0

then equation has equal and real roots.
If

D < 0

then equation has no real roots.
As a result, if the discriminant of a quadratic equation is larger than zero, the roots are real and distinct.
The correct option is (1).

Watch 3-min video & get full concept clarity

tricks from toppers of Infinity Learn

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET

🔥 Start Your JEE/NEET Prep at Just ₹1999 / month - Limited Offer! Check Now!

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Books for IIT JEE

Best Books for NEET