1) 1) Find the standard form of the equation of the ellipse satisfying the given

Question

1) 1) Find the standard form of the equation of the ellipse satisfying the given conditions.

Endpoints of major axis: (10, -3) and (-2, -3); endpoints of minor axis: (4, -1) and (4, -5)

2)Find the standard form of the equation of the ellipse satisfying the given conditions.

Major axis horizontal with length 12; length of minor axis = 6; center (0, 0)

3) Find the standard form of the equation of the ellipse satisfying the given conditions.

4) Find the standard form of the equation of the ellipse satisfying the given conditions.

Explanation / Answer

1. End points of major axis are (10,-3),(-2,-3)

Therefore 2a= 12

a=6

Endpoints of minor axis are (4,-1),(4,-5)

Therefore 2b=4

b=2

The two axis crosses each other at (4,-3)

Therefore centre is at (4,-3)

Hence the required equation is (x-4)2/36 + (y+3)2/4=1

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