if tangent to the curve root of x+root of y=root of a at a point on it cuts the axes ox and oy at p ang q respectively then op+oq is
Options~
A 2a B a
C 1/2a D none of these
abhishek sinha , 12 Years ago
Grade 12
2 Answers
Bevkoof Singh
Last Activity: 12 Years ago
since
root x+root y=root a
so coordinates when this curve cut x axis
(a,0)
simil. for y
(0,a)
so p=a=q
thus ans. is (A) 2a
Raj
Last Activity: 5 Years ago
√y= √a -√x
Now diff. w.r.t to x
dy/dx= - √y/√x
y - y'/x - x' = -√y/√x
Now if it forms triangle then PO^2+OQ^2= PQ^2
Therefore OP =OQ = a
PQ = 2a
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.