Math, asked by thinker1, 1 year ago

what are the foci of the ellipse 9x^2+16y^2=144

Answers

Answered by ers11
0
9x 16y is equal to 12

thinker1: the options are 1)7,02)0,73)0,root74)root7,0
thinker1: did you find my message?
Answered by siddhartharao77
5
9x^2 + 16Y^2 = 144

X^2/16 + Y^2/9 = 1

This is in the form of ellipse (x-h)^2/a^2 + (y-k)^2/b^2 = 1

Where a = 4,b=3, k=0, h=0.

The center of an ellipse(h,k) = (0,0).

The distance from the center to the ellipse = root (4)^2 - (3)^2

                                                                         = root 16 - 9

                                                                         = root 7.

The focus of an ellipse = (h+c,k)

                                       = (0+root 7,0)

                                       = root 7,0.


Hope this helps!

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