1.The coordinates of the points on the curve x=a(θ+sinθ)x = a(\theta + \sin\theta)x=a(θ+sinθ), y=a(1−cosθ)y = a(1 - \cos\theta)y=a(1−cosθ), where tangent is inclined at an angle π4\frac{\pi}{4}4π to the xxx-axis, are:a.(aπ2,a)\left(\frac{a\pi}{2}, a\right)(2aπ,a)b.(a(π2−1),a)\left(a\left(\frac{\pi}{2}-1\right), a\right)(a(2π−1),a)c.(a(π2+1),a)\left(a\left(\frac{\pi}{2}+1\right), a\right)(a(2π+1),a)d.(a,a(π2+1))\left(a, a\left(\frac{\pi}{2}+1\right)\right)(a,a(2π+1))Login to continueOnly logged in users canattempt or see the solution.