Circles and Ellipses
India
Class XI
Solve Inequalities Involving Ellipses
Interactive practice questions
Do the foci of the ellipse satisfy the inequality $\frac{\left(x-7\right)^2}{8^2}+\frac{\left(y-3\right)^2}{4^2}>1$(x−7)282+(y−3)242>1?
Yes
A
No
B
Easy
< 1min
Consider the ellipse $\frac{\left(x-5\right)^2}{49}+\frac{\left(y-2\right)^2}{16}=1$(x−5)249+(y−2)216=1.
Easy
1min
Which of these points lie inside the ellipse $\frac{x^2}{8^2}+\frac{y^2}{3^2}=1$x282+y232=1? Select all that apply.
Easy
< 1min
Which of these points lie outside the ellipse $\frac{x^2}{22^2}+\frac{y^2}{28^2}=1$x2222+y2282=1? Select all that apply.
Easy
< 1min
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