Engineering Board Exam Reviewer · Circles · medium

Find the equation of the tangent line to the circle x2+y2=25 at the point (3,4).

  1. 4 x + 3 y - 25 = 0
  2. 3 x + 4 y - 25 = 0
  3. 3 x - 4 y + 7 = 0
  4. 3 x + 4 y + 25 = 0

Answer

B. 3 x + 4 y - 25 = 0

Solution

The tangent at (x1,y1) is x1x+y1y=r2: 3x+4y=25.

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