Question
Question: Segment of the tangent to the curve xy = c<sup>2</sup> at the point (x¢, y¢) which is contained betw...
Segment of the tangent to the curve xy = c2 at the point (x¢, y¢) which is contained between the coordinate axes, is bisected at the point –
A
(y¢, x¢)
B
(–x¢, –y¢)
C
(x¢/2, y¢/2)
D
) None
Explanation
Solution
)
Sol. 
= – 
= –
Eq.of T ® y – y' = – 
(x – x') By intercept form
OA = 2x' , OB = 2y' So mid- point of AB = (x', y')