Application of DerivativeHard
Question
The coordinates of the points on the curve x = a (θ + sinθ), y = a (1 - cosθ), where tan gent is inclined an angle π/4 to the x-axis are-
Options
A.(a, a)
B.
C.
D.
Solution
The co-ordinates x = a(θ + sin θ) ; y = a (1 - cos θ)
= a (1 + cosθ)
= a 
= a sin θ = 2 a sin 
cos 
= tan 
= tan 
given
1 = tan
θ =
point x = a (θ + sin θ)
x = a
y = a (1 - 0)
point is
= a (1 + cosθ) = a = a sin θ = 2 a sin cos = tan = tan given1 = tan
θ =
point x = a (θ + sin θ)
x = a
y = a (1 - 0)
point is
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
The normal to the curve √x + √y = √a is perpendicular to x-axis at the point-...Number of tangents drawn from the point (-1/2, 0) to the curve y = e{x}. (Here { } denotes fractional part function)....The angle of intersection between the curvesy2 = 8x and x2 = 4y - 12 at (2, 4) is-...The equation of the normal to the curve y2 = 4ax at point (a, 2a) is-...The angle of intersection between the curves y = 4x2 and y = x2 is-...