Normal to a circle
Two-dimensional geometry · Mathematics
Study notes
Q: Find the normal to x² + y² = 25 at (3,4). Centre (0,0). Normal through (0,0) and (3,4): slope 4/3. Normal: y = (4/3)x. (Check: tangent 3x+4y=25 has slope −3/4; product −1 ✓.)
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Two-dimensional geometry · Mathematics
Q: Find the normal to x² + y² = 25 at (3,4). Centre (0,0). Normal through (0,0) and (3,4): slope 4/3. Normal: y = (4/3)x. (Check: tangent 3x+4y=25 has slope −3/4; product −1 ✓.)