TS EAMCET · Maths · Trigonometric Equations
If a point \((x, y)=(\tan \theta+\sin \theta, \tan \theta-\sin \theta)\), then the locus of \((x, y)\) is
- A \(\left(x^2 y\right)^{2 / 3}+\left(x y^2\right)^{2 / 3}=1\)
- B \(x^2-y^2=4 x y\)
- C \(x^2-y^2=12 x y\)
- D \(\left(x^2-y^2\right)^2=16 x y\)
Answer & Solution
Correct Answer
(D) \(\left(x^2-y^2\right)^2=16 x y\)
Step-by-step Solution
Detailed explanation
Given that,…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If the magnitudes of \(\mathbf{a}, \mathbf{b}\) and \(\mathbf{a}+\mathbf{b}\) are respectively 3,4 and 5 , then the magnitude of \((\mathbf{a}-\mathbf{b})\) isTS EAMCET 2017 Easy
- \(x\) and \(y\) are two complex numbers such that \(|x|=|y|=1\). If \(\operatorname{Arg}(x)=2 \alpha, \operatorname{Arg}(y)=3 \beta\) and \(\alpha+\beta=\frac{\pi}{36}\), then \(x^6 y^4+\frac{1}{x^6 y^4}=\)TS EAMCET 2024 Hard
- \(\int_0^3\left|x^2-3 x+2\right| d x=\)TS EAMCET 2023 Medium
- If thenTS EAMCET 2021 Medium
- \(\int \frac{x^5+x}{x^8+1} d x=\)TS EAMCET 2024 Medium
- If \(\cos \theta+\sin \theta=\sqrt{2} \cos \theta\) and \(0 < \theta < \frac{\pi}{2}\) then \(\sec 2 \theta+\tan 2 \theta=\)TS EAMCET 2025 Medium
More PYQs from TS EAMCET
- If \(f: R \rightarrow R\) and \(g: R \rightarrow R\) are defined by \(f(x)=2 x+3\) and \(g(x)=x^2+7\), then the values of \(x\) such that \(g(x)=x^2+7\), then the values of \(x\) such that \(g(f(x))=8\) areTS EAMCET 2003 Hard
- A nitrogen oxide that forms "in situ" when dilute \(\mathrm{FeSO}_4\) is treated with aqueous solution of nitrate ion and then careful addition of conc. \(\mathrm{H}_2 \mathrm{SO}_4\) along the sides of test tube, isTS EAMCET 2022 Easy
- A message signal of frequency \(10 \mathrm{kHz}\) is used to modulate a carrier wave of frequency \(6 \mathrm{MHz}\), then the side band frequencies areTS EAMCET 2023 Medium
- In the interval \((-3,3)\) the function \(f(x)=\frac{x}{3}+\frac{3}{x}, x \neq 0\) is :TS EAMCET 2006 Easy
- If the equation of the plane passing through the point \((2,-1,3)\) and perpendicular to the planes \(3 x-2 y+z=9\) and \(x+y+z=9\) is \(x+b y+c z+d=0\), then \(d=\)TS EAMCET 2018 Medium
- At \(T(K), K_c\) for the reaction \(\mathrm{AO}_2(\mathrm{~g})+\mathrm{BO}_2(\mathrm{~g}) \rightleftharpoons \mathrm{AO}_3(\mathrm{~g})+\mathrm{BO}(\mathrm{g})\) is 16 . One mole each of reactants and products are taken in a 1 L flask and heated to \(T(K)\), and equilibrium is established. What is the equilibrium concentration of BO (in \(\mathrm{mol} \mathrm{L}^{-1}\) )?TS EAMCET 2024 Medium