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The major axis and minor axis of an elli...

The major axis and minor axis of an ellipse are, respectively, `x-2y-5=0 and 2x+y+10=0`. If the end of the latus rectum is (3,4) find focii

A

(5,0)

B

(-7,-6)

C

(-11,-8)

D

(11,3)

Text Solution

AI Generated Solution

To solve the problem step by step, we will follow the given information and derive the foci of the ellipse based on the provided equations of the major and minor axes, as well as the end of the latus rectum. ### Step 1: Identify the equations of the axes The equations of the major and minor axes are given as: 1. Major axis: \( x - 2y - 5 = 0 \) 2. Minor axis: \( 2x + y + 10 = 0 \) ### Step 2: Find the slopes of the axes ...
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