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India
Class XI

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

11.CG.CS.1

Sections of a cone: Circles, ellipse, parabola, hyperbola, a point, a straight line and pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse and hyperbola. Standard equation of a circle.

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