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Let {S}be the circle in the {x}{y}-plane defined by the equati

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Let $S$ be the circle in the $x y$ -plane defined by the equation $x^{2} + y^{2} = 4 .$ (For Ques. No 15 and 16)Let $P$ be a point on the circle $S$ with both coordinates being positive. Let the tangent to $S$ at $P$ intersect the coordinate axes at the points $M$ and $N$ . Then, the mid-point of the line segment $M N$ must lie on the curve $(x + y)^{2} = 3 x y$ (b) $x^{2 / 3} + y^{2 / 3} = 2^{4 / 3}$ (c) $x^{2} + y^{2} = 2 x y$ (d) $x^{2} + y^{2} = x^{2} y^{2}$

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Sebastian Discussed

Let

S

be the circle in the

x y

-plane defined by the equation

x^{2} + y^{2} = 4 .

(For Ques. No 15 and 16)Let

P

be a point on the circle

S

with both coordinates being positive. Let the tangent to

S

P

intersect the coordinate axes at the points

M

and

N

. Then, the mid-point of the line segment

M N

must lie on the curve

(x + y)^{2} = 3 x y

(b)

x^{2 / 3} + y^{2 / 3} = 2^{4 / 3}

(c)

x^{2} + y^{2} = 2 x y

(d)

x^{2} + y^{2} = x^{2} y^{2}

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Question Text	Let $S$ be the circle in the $x y$ -plane defined by the equation $x^{2} + y^{2} = 4 .$ (For Ques. No 15 and 16)Let $P$ be a point on the circle $S$ with both coordinates being positive. Let the tangent to $S$ at $P$ intersect the coordinate axes at the points $M$ and $N$ . Then, the mid-point of the line segment $M N$ must lie on the curve $(x + y)^{2} = 3 x y$ (b) $x^{2 / 3} + y^{2 / 3} = 2^{4 / 3}$ (c) $x^{2} + y^{2} = 2 x y$ (d) $x^{2} + y^{2} = x^{2} y^{2}$
Answer Type	Video solution: 1
Upvotes	151