91Ó°ÊÓ

Find the standard equation of the circle which satisfies the given criteria. endpoints of a diameter: \(\left(\frac{1}{2}, 4\right),\left(\frac{3}{2},-1\right)\)

Find the standard form of the equation of the ellipse which has the given properties. Foci (±3,0) , length of the Minor Axis 10

The Giant Wheel at Cedar Point is a circle with diameter 128 feet which sits on an 8 foot tall platform making its overall height is 136 feet. \(^{2}\) Find an equation for the wheel assuming that its center lies on the \(y\) -axis and that the ground is the \(x\) -axis.

Find the standard form of the equation of the hyperbola which has the given properties. Vertices (3,2),(13,2)\(;\) Endpoints of the Conjugate Axis (8,4),(8,0)

Find an equation for the parabola which fits the given criteria. Vertex (-8,-9)\(;(0,0)\) and (-16,0) are points on the curve

Find the standard form of the equation of the hyperbola which has the given properties. Vertex \((-10,5),\) Asymptotes \(y=\pm \frac{1}{2}(x-6)+5\)

Verify that the following points lie on the Unit Circle: \((\pm 1,0),(0,\pm 1),\left(\pm \frac{\sqrt{2}}{2}, \pm \frac{\sqrt{2}}{2}\right),\left(\pm \frac{1}{2}, \pm \frac{\sqrt{3}}{2}\right)\) and \(\left(\pm \frac{\sqrt{3}}{2}, \pm \frac{1}{2}\right)\).

Find the standard form of the equation of the ellipse which has the given properties. Vertices (3,2),(13,2)\(;\) Endpoints of the Minor Axis (8,4),(8,0)

Find an equation for the parabola which fits the given criteria. The endpoints of latus rectum are (-2,-7) and (4,-7)

Find the standard form of the equation of the ellipse which has the given properties. Center (5,2) , Vertex (0,2) , eccentricity \(\frac{1}{2}\)