JEE Main 2005Annual, Paper 1MathematicsMediumLimit, Continuity and Differentiability420× since 2002The normal to the curve x=a(cosθ+θsinθ),y=a(sinθ−θcosθ)x = a\left( {\cos \theta + \theta \sin \theta } \right),y = a\left( {\sin \theta - \theta \cos \theta } \right)x=a(cosθ+θsinθ),y=a(sinθ−θcosθ) at any point θ ′\theta\, 'θ′ is such thatAOption A. it passes through the originBOption B. it makes an angle π2+θ{\pi \over 2} + \theta2π+θ with the xxx-axisCOption C. it passes through (aπ2,−a)\left( {a{\pi \over 2}, - a} \right)(a2π,−a)DOption D. it is at a constant distance from the originCheckSkip · show solution
