JEE Advance - Mathematics (2005 - No. 5)
If length of tangent at any point on the curve $$y=f(x)$$ intecepted between the point and the $$x$$-axis is length $$1.$$ Find the equation of the curve.
y = sin(x + c)
y = cos(x + c)
log |(1 - √(1 - y^2)) / y| + √(1 - y^2) = x + c
log |(1 + √(1 - y^2)) / y| + √(1 - y^2) = x + c
log |(1 - √(1 + y^2)) / y| + √(1 + y^2) = x + c