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India
Class XI

Maximum and minimum values of quadratics

Interactive practice questions

Consider the equation $y=2x^2$y=2x2.

a

Is every value of $y$y positive?

No

A

Yes

B
b

The graph of $y=2x^2$y=2x2 is given below.

Loading Graph...

State the axis of symmetry of the parabola.

c

What is the minimum value of $y$y?

$y$y$=$=$\editable{}$

Easy
< 1min

Consider a parabola of the form $y=ax^2+bx+c$y=ax2+bx+c, where $a>0$a>0

Easy
< 1min

Consider a parabola of the form $y=ax^2+bx+c$y=ax2+bx+c, where $a<0$a<0

Easy
< 1min

Consider the curve $y=2x^2-3$y=2x23.

Easy
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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