Help me with this simple problem

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themonk

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Feb 21, 2022
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Find the area of the triangle formed by the tangent line to the circle.
?^2 + ?^2 = 1 at the point ? = 0.6 and the coordinate axes.

I want to know how to solve this kind of problem. Please help me. Thank you ;)
 
themonk said:
Find the area of the triangle formed by the tangent line to the circle.
?^2 + ?^2 = 1 at the point ? = 0.6 and the coordinate axes.

I want to know how to solve this kind of problem. Please help me. Thank you ;)
Click to expand...
If I were to solve your assignment, I would

first draw an approximate sketch according to the given equation,

determine the slope of the tangent line at x=0.6

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Please share your work/thoughts about this problem.
 
themonk said:
Find the area of the triangle formed by the tangent line to the circle.
?^2 + ?^2 = 1 at the point ? = 0.6 and the coordinate axes.

I want to know how to solve this kind of problem. Please help me. Thank you ;)
Click to expand...
There are actually two points on the circle with x = 0.6, but you can use the one in the first quadrant. What is its y coordinate?

You'll need to find the slope at that point; have you learned implicit differentiation?

And you'll need to know the point-slope form of a line, and use that to find the dimensions of the triangle they ask about.

Please show whatever work you can attempt, so we can see where you need help.
 
Hi guys. Guess who's back. Me, and my little problem. I just learned about implicit differentiation, and did what you told me to do. Got the answer 24/25, is this correct? Thank you for the support
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