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India
Class X

Systems of two quadratic equations

Interactive practice questions

Consider the pairs of parabolas graphed below.

Select the pairs that have no points of intersection.

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A

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B

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C

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D
Easy
< 1min

Consider the parabolas with equations $y=x^2$y=x2 and $y=2x^2-1$y=2x21.

Easy
3min

Consider the parabolas with equations $y=x^2+1$y=x2+1 and $y=3-x^2$y=3x2.

Easy
2min

Consider the system of equations

$y=x^2+4x+1$y=x2+4x+1

$y=-x^2+7$y=x2+7

Easy
6min
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Outcomes

10.CG.L.1

Review the concepts of coordinate geometry done earlier including graphs of linear equations. Awareness of geometrical representation of quadratic polynomials. Distance between two points and section formula (internal). Area of a triangle.

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