Let be a point on the curve and be a point on the curve

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

Let

P

be a point on the curve

C_1:y=\sqrt{2-x^2}

and

Q

be a point on the curve

C_2:xy=9

, with both

P

and

Q

in the first quadrant. If

d

denotes the minimum distance between

P

and

Q

, then find

d^2