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the line ax by 1 cuts ellipse cx dy 1 only once if
Question:
The line ax+by=1 cuts ellipse cx²+dy²=1 only once if
Show Hint
Tangency gives discriminant zero condition.
BITSAT - 2010
BITSAT
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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