The equation for finding the tangent line of the circle X & # 178; + Y & # 178; = 25 in the direction of point a (5,15)

The equation for finding the tangent line of the circle X & # 178; + Y & # 178; = 25 in the direction of point a (5,15)

Let the tangent equation be y = KX + B, and substitute the point a into 15 = 5K + B, B = 15-5ky = KX + 15-5kx & # 178; + Y & # 178; = 25, the center of the circle is (0,0) radius = 5, the distance from the center of the circle to the straight line = radius, i.e. (K & | 178; + 1) = 5 (15-5k) &# 178; = 25 (K & # 178; + 1) 225-150k + 25K & # 178; = 25K & # 178; + 25K =