Search problems

5 problems match “circle equation”. Clear

Visitors search a sample. Sign in for free to search every problem. Sign in

1. Center of a circle from general form ●○○○○ 10 ptsFind the coordinates of the center of the circle $x^2 + y^2 - 4x + 2y - 1 = 0$. Give the $x$-coordinate and the $y$-coordinate.
2. Centre of a circle from its equation ●○○○○ 10 ptsFind the coordinates $(a, b)$ of the centre of the circle $x^2+y^2+6x-8y-24=0$.
3. Center of a circle through three points ●●○○○ 20 ptsA circle passes through the points $(-1, 2)$, $(3,0)$ and $(9,0)$. The center of the circle is at $(h,k)$. Find the value of $h+k$.
4. Area enclosed by a parametric curve ●●○○○ 20 ptsFind the area of the region enclosed by the parametric curve $x = 6\cos^2 t$, $y = 6\cos t\sin t$. Round to two decimal places.
5. Maximum modulus on a locus ●●○○○ 20 ptsGiven a complex number $z$ such that $\frac{z-\mathrm{i}}{z-1}$ is a purely imaginary number, where $\mathrm{i}$ is the imaginary unit, find the maximum value of $|z|$. Round to two decimal places.