(C) quadratic equation in one variable $x$ is an equation of the form $ax^2 + bx + c = 0$,where $a, b,$ and $c$ are real numbers and $a \neq 0$.If $a

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$ax^2 + bx + c = 0$; where $a \neq 0$; $a, b, c \in R$

(C) quadratic equation in one variable $x$ is an equation of the form $ax^2 + bx + c = 0$,where $a, b,$ and $c$ are real numbers and $a \neq 0$.If $a = 0$,the equation becomes a linear equation $(bx + c = 0)$,which is not quadratic.Therefore,the standard form is $ax^2 + bx + c = 0$ with the condition $a \neq 0$.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

Easy

The standard form of a quadratic equation in one variable is $\ldots \ldots \ldots \ldots . .$

A
$ax + by + c = 0$
B
$ax^2 + by + c = 0$
C
$ax^2 + bx + c = 0$; where $a \neq 0$; $a, b, c \in R$
D
$ax^2 + bx + c$; where $a \neq 0$; $a, b, c \in R$

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Mix Examples - Quadratic Equations

Examine whether the following equation is quadratic or not: $(3x - 4)^2 - (2x - 3)^2 = 7$.

Easy

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Which of the following equations has $2$ as a root?

Medium

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The necessary condition for $ax^2 + bx + c = 0$,where $a, b, c \in R$,to be a quadratic equation is:

Easy

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Obtain the roots of the following equation using the method of 'completing the square': $16x^{2} - 24x - 1 = 0$.

Medium

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If the value of the discriminant of the quadratic equation $x^{2}-10x+(2k-1)=0$ is $40$,then $k = \ldots$.

Medium

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The standard form of a quadratic equation in one variable is $\ldots \ldots \ldots \ldots . .$

Similar Questions

Examine whether the following equation is quadratic or not: $(3x - 4)^2 - (2x - 3)^2 = 7$.

Which of the following equations has $2$ as a root?

The necessary condition for $ax^2 + bx + c = 0$,where $a, b, c \in R$,to be a quadratic equation is:

Obtain the roots of the following equation using the method of 'completing the square': $16x^{2} - 24x - 1 = 0$.

If the value of the discriminant of the quadratic equation $x^{2}-10x+(2k-1)=0$ is $40$,then $k = \ldots$.

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