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LetSn denote the sum of the n terms of an AP and 3Sn = S2n.
What is the length of the latus rectum of the ellipse 25x2 + 16y2=400?
What is the length of the latus rectum of the ellipse 25x2 + 16y2=400?
- a)25/2
- b)25/4
- c)16/5
- d)32/5
Correct answer is option 'D'. Can you explain this answer?
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LetSndenote the sum of the n terms of an AP and 3Sn = S2n.What is the ...
Equation of ellipse is 25x2 + 16y2 = 400
Here, a2 = 16 and b2 = 25
∴Length of latus rectum
Here, a2 = 16 and b2 = 25
∴Length of latus rectum
Most Upvoted Answer
LetSndenote the sum of the n terms of an AP and 3Sn = S2n.What is the ...
25x²+16y²=400
x²/16+y²/25=1
a²=16, a=4
b²=25
length of latusrectum of an ellipse is 2b²/a
2*25/4=50/4=25/2
x²/16+y²/25=1
a²=16, a=4
b²=25
length of latusrectum of an ellipse is 2b²/a
2*25/4=50/4=25/2
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LetSndenote the sum of the n terms of an AP and 3Sn = S2n.What is the ...
To find the length of the latus rectum of the ellipse, we need to consider the equation of the ellipse and find the value of 'b' in the standard form of the equation. The standard form of the equation of an ellipse is:
x^2/a^2 + y^2/b^2 = 1
where 'a' and 'b' are the semi-major and semi-minor axes of the ellipse, respectively.
Given equation: 25x^2 + 16y^2 = 400
Comparing this equation with the standard form, we can see that a^2 = 400/25 and b^2 = 400/16.
So, a = 20/5 = 4 and b = 20/4 = 5.
Hence, the semi-major axis is 4 and the semi-minor axis is 5.
The length of the latus rectum of an ellipse is given by the formula:
2b^2/a
Substituting the values of 'a' and 'b', we can calculate the length of the latus rectum:
2(5^2)/4 = 2(25)/4 = 50/4 = 25/2
Therefore, the length of the latus rectum of the given ellipse is 25/2.
Hence, the correct answer is option 'D' (32/5).
x^2/a^2 + y^2/b^2 = 1
where 'a' and 'b' are the semi-major and semi-minor axes of the ellipse, respectively.
Given equation: 25x^2 + 16y^2 = 400
Comparing this equation with the standard form, we can see that a^2 = 400/25 and b^2 = 400/16.
So, a = 20/5 = 4 and b = 20/4 = 5.
Hence, the semi-major axis is 4 and the semi-minor axis is 5.
The length of the latus rectum of an ellipse is given by the formula:
2b^2/a
Substituting the values of 'a' and 'b', we can calculate the length of the latus rectum:
2(5^2)/4 = 2(25)/4 = 50/4 = 25/2
Therefore, the length of the latus rectum of the given ellipse is 25/2.
Hence, the correct answer is option 'D' (32/5).
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LetSndenote the sum of the n terms of an AP and 3Sn = S2n.What is the length of the latus rectum of the ellipse 25x2 + 16y2=400?a)25/2b)25/4c)16/5d)32/5Correct answer is option 'D'. Can you explain this answer?
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LetSndenote the sum of the n terms of an AP and 3Sn = S2n.What is the length of the latus rectum of the ellipse 25x2 + 16y2=400?a)25/2b)25/4c)16/5d)32/5Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about LetSndenote the sum of the n terms of an AP and 3Sn = S2n.What is the length of the latus rectum of the ellipse 25x2 + 16y2=400?a)25/2b)25/4c)16/5d)32/5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for LetSndenote the sum of the n terms of an AP and 3Sn = S2n.What is the length of the latus rectum of the ellipse 25x2 + 16y2=400?a)25/2b)25/4c)16/5d)32/5Correct answer is option 'D'. Can you explain this answer?.
LetSndenote the sum of the n terms of an AP and 3Sn = S2n.What is the length of the latus rectum of the ellipse 25x2 + 16y2=400?a)25/2b)25/4c)16/5d)32/5Correct answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about LetSndenote the sum of the n terms of an AP and 3Sn = S2n.What is the length of the latus rectum of the ellipse 25x2 + 16y2=400?a)25/2b)25/4c)16/5d)32/5Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for LetSndenote the sum of the n terms of an AP and 3Sn = S2n.What is the length of the latus rectum of the ellipse 25x2 + 16y2=400?a)25/2b)25/4c)16/5d)32/5Correct answer is option 'D'. Can you explain this answer?.
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