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

Question

The line $12x\cos	heta+5y\sin	heta=60$ is tangent to which of the following curves?

Accepted Answer

$$12x\cos \theta  + 5y\sin \theta  = 60$$

$${{x\cos \theta } \over 5} + {{y\sin \theta } \over {12}} = 1$$

is tangent to $${{{x^2}} \over {25}} + {{{y^2}} \over {144}} = 1$$

$144{x^2} + 25{y^2} = 3600$

Solutions · 1