A quadratic equation ax^2+ bx + c = 0 has real and equal roots, i… - Vidyadip

MCQ

A quadratic equation $ax^2+ bx + c = 0$ has real and equal roots, if :

A
$ b^2-4 a c>0 $
✓
$ b^2-4 a c=0 $
C
$ b^2-4 a c<0 $
D
None of these

✓

Answer

Correct option: B.

$ b^2-4 a c=0 $

A quadratic equation $ax^2+ bx + c = 0$ has real and equal roots, if $ b^2-4 a c=0 $

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Quadratic Equations→Quadratic Equations — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

The maximum number of common tangents that can be drawn to two circles intersecting at two distinct points is

Choose the correct answer from the given four options in the following questions:
If the zeroes of the quadratic polynomial $ax^2 + bx + c, c ≠ 0$ are equal, then:

Directions : In the following questions, the Assertions $(A)$ and Reason $(s)\ (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following :
Assertion : $3y^2+ 17y - 30 = 0$ have distinct roots.
Reason : The quadratic equation $ax^2+ bx + c = 0$ have distinct roots $($real roots$)$ if $D > 0$.

If the $\text{HCF}$ of $65$ and $117$ is expressible in the form $65m – 117$, then the value of $m$ is :

The distribution below gives the marks obtained by 80 students on a test:

Marks	Less than 10	Less than 20	Less than 30	Less than 40	Less than 50	Less than 60
Number of Students	3	12	27	57	75	80

The modal class of this distribution is:

In an $AP , S_p=q, S_q=p$ and $S_r$ denotes the sum of first $r$ terms. Then, $S_{p+q}$ is equal to

The next term of the A.P. $\sqrt{7}, \sqrt{28}, \sqrt{63}, \ldots$

From a point on the ground which is $15m$ away from the foot of a tower, the angle of elevation is found to be $60^{\circ}$. The height of the tower is :

If $\alpha, \beta$ and $\gamma$ are the zeroes of a cubic polynomial $f(x)=a x^3+b x^2+c x+d$, then, $\alpha \beta+\beta \gamma+\gamma \alpha=$

If the first, second and last term of an A.P. are $a, b$ and $2 a$ respectively, its sum is