Circles and Ellipses
India
Class XI
Solve Inequalities involving Circles
Interactive practice questions
Which of the following points satisfy the circle inequality $\left(x+4\right)^2+\left(y-2\right)^2<160$(x+4)2+(y−2)2<160?
Select all that apply.
$\left(-17,15\right)$(−17,15)
A
$\left(8,6\right)$(8,6)
B
$\left(0,0\right)$(0,0)
C
$\left(-3,1\right)$(−3,1)
D
Easy
< 1min
Consider the circle with equation $x^2+y^2=169$x2+y2=169.
Easy
< 1min
Does the centre of the circle $\left(x-1\right)^2+\left(y+3\right)^2=52$(x−1)2+(y+3)2=52 satisfy the inequality $\left(x-1\right)^2+\left(y+3\right)^2$(x−1)2+(y+3)2$\ge$≥$52$52?
Easy
< 1min
Determine whether the following points lie inside, outside, or on the circle $x^2+y^2=117$x2+y2=117.
Easy
1min
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