The equation of a straight line is 2x +3y=10.find equation of ellipse
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Answer: x^2/25 + 9y^2/100 = 1
Step-by-step explanation:
Firstly we will find the x any y intercept respectively.
For x intercept
y=0
Substituting it in 2x+3y=10
→2x + 0=10
→ x = 10/2 = 5
This is the major axis of ellipse , a=5.
For y intercept
x =0
Similarly y= 10/3
This becomes the minor axis of ellipse , b= 10/3.
The general equation of ellipse is x^2/a^2 + y^2/b^2 =1
Substituting a and b,
Required equation is x^2/25 + 9y^2/100 = 1
Please mark the brainliest .
adwaid0987abcd:
is this correct?
yup
the vertex of ellipse coincides with origin
y can't it be x^2/25+y^2/9
9 ??
ooops ....x^2/9+y^/4
see the minor axis length is obtained by putting x=0 as the point lies on y axis
so the minor axis will be obtained as 2*0 + 3y = 10
and therefore y=10/3
The answer is correct go through it once again
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