Question 2 - Nature of roots — discriminant $D=b^2-4ac$: $D>0$, $D=0$, $D<0$ Practice | Prasnya
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Quadratic Equations — Solving Methods - Quadratic Equations —...
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Nature of roots...
Question 2
00:00
Est. 2 min
Marks:
+4.00
0.00
Consider the quadratic equation
a
x
2
+
b
x
+
c
=
0
ax^2+bx+c=0
where
a
,
b
,
c
a,b,c
are integers with
a
≠
0
a\ne 0
. Which of the following option(s) are true?
Single correct
Easy Difficulty
07 July 2024
A
If
b
2
−
4
a
c
>
0
b^2-4ac>0
and a perfect square then there exists a rational root of the quadratic equation.
B
If
b
2
−
4
a
c
>
0
b^2-4ac>0
and not a perfect square then there exists a rational root of the quadratic equation.
C
If
b
2
−
4
a
c
<
0
b^2-4ac<0
and a perfect square then there exists a rational root of the quadratic equation.
D
If
b
2
−
4
a
c
<
0
b^2-4ac<0
and not a perfect square then there exists a rational root of the quadratic equation.
