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UP TGT Mathematics Co-ordinate Geometry Test Series - Part 4

The condition for the line lx + my + n = 0 to be a normal to the ellipse x²/a² + y²/b² = 1 is:

Type: MCQ • Marks: 1
The condition for the line lx + my + n = 0 to be a normal to the ellipse x²/a² + y²/b² = 1 is:
Options
A. a²l² + b²m² = n²
B. al + bm = n
C. (a² - b²)² / n² = a²/l² + b²/m²
D. a²l² - b²m² = n²
Explanation
Standard normal condition for ellipse and line: (a² - b²)² / n² = a²/l² + b²/m².
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