Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Differentiation

NDA 2014 · Mathematics · Differentiation

Consider the curve x=a( θ+θ θ) and y=a( θ-θ θ) . What is (d y)/(d...

Consider the curve x=a(cos⁡θ+θsin⁡θ)x=a(\cos \theta+\theta \sin \theta) and y=a(sin⁡θ−θcos⁡θ)y=a(\sin \theta-\theta \cos \theta). What is dydx\frac{d y}{d x} equal to?

Options

  1. Atan⁡θ\tan \theta
  2. Bcot⁡θ\cot \theta
  3. Csin⁡2θ\sin 2 \theta
  4. Dcos⁡2θ\cos 2 \theta

Correct answer

A. tan⁡θ\tan \theta

Step-by-step solution

The correct answer is option(A)
Practice Differentiation on Quantrex Academy →

More from Differentiation

Passage: Let (e^y)^x-y=0 , where y is a function of x whose domain is (0,10] . Question… NDA 2026If [4] y =x+ x^2+4 , then what is x^2+4 \,(dy)/(dx) equal to ? NDA 2026Passage: Let (e^y)^x-y=0 , where y is a function of x whose domain is (0,10] . Question… NDA 2026For the following two (02) items: Consider the function f(x) = cases 4(5^x), & x What is… NDA 2025Consider the following for the two (02) items that follow: Let x = θ - θ and y = ^4θ… NDA 2025Consider the following for the two (02) items that follow: Let (x+y)^ p+q = x^p y^q… NDA 2025Consider the following for the two (02) items that follow: Let y = ^ -1 (x… NDA 2025For the following three (03) items: Let y = f(x) = x ^ -1 x 1 - x^2 + 1 - x^2 . If x = θ… NDA 2025Consider the following for the two (02) items that follow: Let (x+y)^ p+q = x^p y^q… NDA 2025For the following three (03) items: Let y = f(x) = x ^ -1 x 1 - x^2 + 1 - x^2 . What is… NDA 2025Consider the following for the two (02) items that follow: Let x = θ - θ and y = ^4θ… NDA 2025Paragraph: Let f:(-1,1) arrow R be a differentiable function with f(0)=-1 and f^ (0)=1 .… NDA 2024Let f(x) and g(x) be two functions such that g(x)=x-(1)/(x) and f o g(x)=x^3-(1)/(x^3) .… NDA 2024Paragraph: Let f:(-1,1) arrow R be a differentiable function with f(0)=-1 and f^ (0)=1 .… NDA 2024Let a function f be defined on ℝ-\ 0\ and 2 f(x)+f((1)/(x))=x+3 If f is differentiable… NDA 2023If f(x)=| | x| | where 0 < x < 1 , then what is f^ (0.5) equal to? NDA 2023 Full Differentiation list Differentiation JEE Maths PYQsJEE Mathematics PYQs All NDA PYQs