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India
Class XI

Determine the equation of a quadratic

Interactive practice questions

A quadratic equation has solutions $x=\pm5$x=±5. What must the equation be?

$x^2$x2 $=$= $\editable{}$

Easy
< 1min

The nonzero solution of the equation $x\left(x+a\right)=0$x(x+a)=0 is $x=-1$x=1. What is the value of $a$a?

Easy
< 1min

Form a monic quadratic equation which has solutions $x=0$x=0 and $x=-1$x=1.

Easy
1min

Form a monic quadratic equation which has solutions $x=-3$x=3 and $x=-5$x=5. Express the equation in expanded form.

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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