Discriminant of the equation a x2-b x-c-0 is given by A- b2-4 cB- b2-4 cC- b2-4 a cD- b2-4 ac

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Standard X

Mathematics

Discriminant

Discriminant ...

Question

Discriminant of the equation $a x^{2} + b x + c = 0$ is given by

b^{2} - 4 c

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b^{2} + 4 c

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b^{2} - 4 a c

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b^{2} + 4 a c

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Solution

The correct option is C $b^{2} - 4 a c$
For equation $a x^{2} + b x + c = 0$ , expression $b^{2} - 4 a c$ is called discriminant and is denoted by D.

If D>0, then the equation has real and unequal roots.
If D=0, then the equation has real and equal roots.
If D<0, then the equation has imaginary and unequal roots.

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Similar questions

What is the condition for the equation $x^{2} + b x - c = 0$ to have real roots?

Q. “ $b^{2} + 4 a c$ ” is called the discriminant of a quadratic equation $a x^{2} + b x + c$ .

Q. Given that the roots of the equation

a x^{2} + b x + c = 0

are the consecutive terms of an A.P.What is the common difference of the A.P. in terms of a, b and c?

State true or false. The discriminant for general quadratic equation $a x^{2} + b x + c = 0$ is $b^{2} - 4 a c$ .

The roots of a quadratic equation $a x^{2} + b x + c = 0$ are given by $\frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$ , provided $b^{2} - 4 a c \geq 0$ .

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Discriminant of the equation ax2+bx+c=0 is given by

The correct option is C b2−4acFor equation ax2+bx+c=0, expression b2−4ac is called discriminant and is denoted by D. If D>0, then the equation has real and unequal roots. If D=0, then the equation has real and equal roots. If D<0, then the equation has imaginary and unequal roots.

Discriminant of the equation $a x^{2} + b x + c = 0$ is given by