SOLUTION: O is the center of the circle defined by x^2+y^2=169. Let P be the point in the first quadrant where x=5. Write the equation of the line tangent to the circle at point P and det

Question 846889: O is the center of the circle defined by x^2+y^2=169. Let P be the point in the first quadrant where x=5.
Write the equation of the line tangent to the circle at point P and determine the coordinates of P.
Answer by josgarithmetic(39626) (Show Source): You can put this solution on YOUR website!
The circle is centered at the origin, and the radius is 13 units. This is understood by reading from the standard form.

The y value for the given tangent point on the circle is . This is for the point P(5, 12). The line for this radius is .

The question asked is essentially to find the equation of the line with slope and contains the point (5, 12). You can plug the values into the point-slope form equation for a line and simplify into whatever form you want.

Starting that,...

RELATED QUESTIONS
The line y = x + 2 intersects the circle x2 + y2 = 10 in two points. Call the third-... (answered by Edwin McCravy,greenestamps)

let x=33/65 be the x-coordinate od the point P(x,y), where the terminal side of angle... (answered by Alan3354)

What is the center of the circle defined by the equation... (answered by nerdybill,Alan3354)

Please check my answers for questions related to Unit Circle A. Find the missing... (answered by stanbon,ewatrrr)

write the equation of the line tangent to the circle x^2 +y^2=169 at the point... (answered by josgarithmetic)

The center of a circle represented by the equation (x-2)^2+(y+3)^2=100 is located in what (answered by solver91311)

Write the equation of the circle in standard form. Find the center, radius, intercepts,... (answered by richwmiller)

Write the equation of the circle in standard form. Find the center, radius, intercepts,... (answered by lwsshak3)

find the center of of the circle defined by the equation... (answered by kibauu)