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anonymous

  • 4 years ago

can anyone help with write the equation for the line tangent to the circle x^2+y^2=29 at the point (2,5)

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  1. precal
    • 4 years ago
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    This is calculus. You need to use implicit differentiation and they plug in (2,5). At least that is what I recall from calculus.

  2. anonymous
    • 4 years ago
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    ok thank you

  3. precal
    • 4 years ago
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    Is that the course you are studying? Tangent lines are calculus.

  4. Mertsj
    • 4 years ago
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    You could always use the fact that the radius is perpendicular to the tangent at the point of tangency.

  5. Mertsj
    • 4 years ago
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    The center of the circle is (0,0). The slope from (0,0) to (2,5) is 5/2 So the slope of the tangent is -2/5. Now write the equation of a line that contains the point (2,5) and has slope -2/5. That is the equation of the tangent.

  6. precal
    • 4 years ago
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    Yes, but if you are in calculus your teacher will expect calculus notation.

  7. Mertsj
    • 4 years ago
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    How do you know the asker is in calculus?

  8. precal
    • 4 years ago
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    Because that is a calculus question. I would ask that question if I was teaching calculus. It could be a geometry question, but not sure I would ask that question if I was teaching geometry.

  9. precal
    • 4 years ago
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    Besides that is why I asked the asker what course they are in or studying?

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