Match the values of \frac{d y}{d x} at x=\frac{\pi}{3} for the following system of curves in parametric form given in List-I with those of the items in List-II List-I List-II i) x=a(\theta- \sin \theta), y=a(1-\cos \theta) a) 4 \sqrt{3} ii) x=3 \cos \theta-2 \cos ^3 \theta, y=3 \sin \theta-2 \sin ^3 \theta b) {-1}/{3 \sqrt{3}} iii) x=3 \cos \theta-\cos ^3 \theta, y=3 \sin \theta- \sin ^3 \theta c) \sqrt{3} iv) x=a \log \sin \theta, y=a \tan \theta d) {1}/{\sqrt{3}} e) {1}/{3 \sqrt{3}} [TG EAPCET 14 May 2023 Shift 2]

Correct Answer is : (i)→c,(ii)→d,(iii)→b,(iv)→a

(i) \to {\c}, (i i) \to {\d}, (i i i) \to {\b},(i v) \to {\a}

(i) \to {\c}, (i i) \to {\e}, (i i i) \to {\d},(i v) \to {\a}

(i) \to {\d} (iii) \to {\b}, (i v) \to {\a}

(i) \to {\d}, (i i) \to {\c}, (i i i) \to {\e}, (i v) \to {\b}

TS EAMCET Engineering 14 May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 65 of 160

Marks: +1, -0

Match the values of ‌

at x=‌

for the following system of curves in parametric form given in List-I with those of the items in List-II

List-I

List-II

i) x=a(θ−sin‌θ),y=a(1−cos‌θ)

a) 4‌sqrt‌3

ii) x=3‌cos‌θ−2cos3θ,y=3sin‌θ−2sin‌3θ

b) ‌

−1

3√3

iii) x=3‌cos‌θ−cos3θ,y=3sin‌θ−sin‌3θ

c) √3

iv) x=a‌log‌s‌i‌n‌θ,y=a‌tan‌θ

d) ‌

√3

e) ‌

3√3

[TG EAPCET 14 May 2023 Shift 2]

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