Yes.
It will always lie on a diameter.
All three medians MUST lie inside the triangle.
If they lie in the same plane.
C. They lie in the same plane D. They are collinear
true
true
yes
Yes.
The Sun does NOT lie at the centre of an ellipse. The Sun is at one of the two foci of an ellipse. Have you ever drawn an ellipse with two pins a piece of string and pencil on a board. Insert the two pins into the board/paper. Loosely loop the string over the pins, and tighten with the edge of a pencil. Keeping the string taught with the pencil you can draw an ellipse. The positions of the two pins are the foci of the ellipse. Astronomically, the Sun lies at one of these pins. This was discovered by the Astronomer , Johannes Kepler, who gave us the law, that the Earth sweeps equal arcs in equal times about the Sun . The other focus may be thought of as a 'blind' focus. Have a look in Wikipedia under 'Johannes Kepler'. NB The plural of the noun 'focus' is 'foci'. 'Focuses' is when the word 'focus' is being used as a verb.
With the equation of an ellipse in the form (x/a)² + (y/b)² = 1 the axes of the ellipse lie on the x and y axes and the foci are √(a² - b²) along the x axis. 9x² + 25y² + 100y - 125 = 0 → (3x)² + 25(y² + 4y + 4 - 4) = 125 → (3x)² +25(y + 2)² - 100 = 125 → (3x)² +25(y + 2)² = 225 → (3x)²/225 + (y + 2)²/9 = 1 → (x/5)² + ((y+2)/3)² = 1 Thus the foci are √(5² - 3²) = √16 = 4 either side of the y-axis, but the y axis has been shifted up by 2, thus the two foci are (-4, -2) and (4, -2).
Vertices and the foci lie on the line x =2 Major axis is parellel to the y-axis b > a Center of the ellipse is the midpoint (h,k) of the vertices (2,2) Equation of the ellipse is (x - (2) )^2 / a^2 + (y - (2) )^2 / b^2 Equation of the ellipse is (x-2)^2 / a^2 + (y-2)^2 / b^2 The distance between the center and one of the vertices is b The distance between(2,2) and (2,4) is 2, so b = 2 The distance between the center and one of the foci is c The distance between(2,2) and (2,1) is 1, so c = 1 Now that we know b and c, we can find a^2 c^2=b^2-a^2 (1)^2=(2)^2-a^2 a^2 = 3 The equation of the ellipse is Equation of the ellipse is (x-2)^2 / 3 + (y-2)^2 / 4 =1
No, it may lie outside the body. In case of a circular ring, it is at the centre of the ring which is outside the mass of the ring.
No, circles are not orbits of the planets. Orbits are actually elliptical paths that planets follow around the Sun due to gravitational forces. Although orbits are often simplified as circles for visualization purposes, they are more accurately described as elliptical in shape.
It will always lie on a diameter.
All Planets do not lie inside the asteororid Belt . The answer is False
I'm male, and I don't lie to people...