Question

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

Answer 1

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

Answer 2

ok thank you

Answer 3

Is that the course you are studying? Tangent lines are calculus.

Answer 4

You could always use the fact that the radius is perpendicular to the tangent at the point of tangency.

Answer 5

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.

Answer 6

Yes, but if you are in calculus your teacher will expect calculus notation.

Answer 7

How do you know the asker is in calculus?

Answer 8

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.

Answer 9

Besides that is why I asked the asker what course they are in or studying?