Question:

The line ax+by=1 cuts ellipse cx²+dy²=1 only once if

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Tangency gives discriminant zero condition.
Updated On: Mar 18, 2026
  • ca²+db²=1
  • (c)/(a²)+(d)/(b²)=1
  • (a²)/(c)+(b²)/(d)=1
  • a²c+b²d=1
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The Correct Option is C

Solution and Explanation


Step 1:
Tangency condition for ellipse.
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