Hi, I have Just gone into the Easter holidays and I am doing a lot a maths revision. I have been met with this question in one of my practice papers, here is the question:
A circle has equation x^2 + y^2 = 34. P lies on the circle and has x-coordinate 3. The tangent at P intersects the x-axis at point A and the y-axis at point B.
Work out the co-ordinates of A and B.
I am not really interested in the answer to the question but I was quite confused by this question as I am not sure how I can get the tangents length through algebra (so for general use rather than specific question). If anyone has any ideas about how you can easily find the length of a tangent, please let me know!