If the tangent to the curve √x+√y=√a at any point on it cuts the axes OX and OY at P and Q respectively, then OP +OQ is
Options:
A .  
a2
B .  
a
C .  
2a
D .  
4a
Answer: Option B : B √x+√y=√a.....(i) ⇒12√x+12√ydydx=0 ∴dydx=−√y√x Equation of tangent at (x1y1)isy−y1=−√y1√x1(x−x1) ⇒x√x1+y√y1=√a;⇒op=√a√x1,OQ=√a√y1∴OP+OQ=√a
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