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India
Class X

Definite and indefinite quadratics

Interactive practice questions

Consider the quadratic equation $y=7x^2+8x+3$y=7x2+8x+3.

a

Evaluate its discriminant.

b

By referring to the discriminant and to the coefficient of $x^2$x2, one can conclude that the function is:

Negative definite

A

Indefinite

B

Positive definite

C
c

Which graph represents the quadratic equation?

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A

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B

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C

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D
Easy
2min

Consider the quadratic function $y=-4x^2+2x-1$y=4x2+2x1.

Easy
2min

Consider the quadratic equation $y=3x^2+18x+7$y=3x2+18x+7.

Easy
1min

Consider the quadratic function $y=-2x^2+10x-8$y=2x2+10x8.

Medium
1min
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Outcomes

10.A.QE.1

Standard form of a quadratic equation ax^2 + bx + c = 0, (a ≠0). Solution of quadratic equations (only real roots) by factorization and by completing the square, i.e., by using quadratic formula. Relationship between discriminant and nature of roots. Problems related to day-to-day activities to be incorporated

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