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04/02/2022 2:18 pm
Topic starter
The line 12x cosθ + 5y sinθ = 60 is tangent to which of the following curves?
(1) x2 + y2 = 169
(2) 144x2 + 25y2 = 3600
(3) 25x2 + 12y2 = 3600
(4) x2 + y2 = 60
1 Answer
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04/02/2022 2:21 pm
Correct answer: (2) 144x2 + 25y2 = 3600
Explanation:
12x cosθ + 5y sinθ = 60
\(\frac{x cos \theta}{5}\) + \(\frac{y sin \theta}{12}\) = 1
is tangent to \(\frac{x^2}{25}\) + \(\frac{y^2}{144}\) = 1
144x2 + 25y2 = 3600