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The line 12x cosq + 5y sinq = 60 is tangent to which of the following curves?

Option 1 -

1 4 4 x 2 + 2 5 y 2 = 3 6 0 0

Option 2 -

x 2 + y 2 = 6 0

Option 3 -

x 2 + y 2 = 1 6 9

Option 4 -

2 5 x 2 + 1 2 y 2 = 3 6 0 0

0 3 Views | Posted 2 months ago
Asked by Shiksha User

  • 1 Answer

  • R

    Answered by

    Raj Pandey | Contributor-Level 9

    2 months ago
    Correct Option - 1


    Detailed Solution:

    Since the line x 5 c o s θ + y 1 2 s i n θ = 1 is the equation of tangent to the ellipse x 2 5 2 + y 2 1 2 2 = 1 at (5 cos q, 12 sin q). Hence option (A) is correct option.

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