TS EAMCET · Maths · Circle
If the polar of a point \(P\) with respect to a circle of radius \(r\) which touches the coordinate axes and lies in the first quadrant is \(x+2 y=4 r\), then the point \(P\) is
- A \((r, 2 r)\)
- B \((2 r, r)\)
- C \((2 r, 3 r)\)
- D \((-r, 4 r)\)
Answer & Solution
Correct Answer
(C) \((2 r, 3 r)\)
Step-by-step Solution
Detailed explanation
Let \(P\) be \(\left(x_1, y_1\right)\) Now, equation of circle of radius \(r\) which touches the coordinate axes and lies in the first quadrant is \(\begin{aligned} (x-r)^2+(y-r)^2 & =r^2 \\ \Rightarrow \quad x^2+y^2-2 x r-2 y r-r^2 & =0 \end{aligned}\) Now, polar of \(P\) with…
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
- \(\int \frac{d x}{x \ln (x) \ln ^2(x) \ln ^3(x) \ldots \ln ^m(x)}=\frac{(\ln (x))^K}{K}+C\) \(\Rightarrow 2 K=\)TS EAMCET 2020 Medium
- If \(\alpha, \beta\) are the roots of the equation \(x^2+3 x+\mathrm{k}=0\) and \(\alpha+\frac{1}{\alpha}, \beta+\frac{1}{\beta}\) are the roots of the equation \(4 x^2+p x+18=0\) then k satisfies the equationTS EAMCET 2025 Hard
- Let \(g(x)\) be the anti-derivative of \(f(x)\). Then the function for which \(\log _e\left(1+(g(x))^2\right)+c\) is an anti-derivative is]TS EAMCET 2022 Hard
- Let \(f: \mathbb{R} \rightarrow \mathbb{R}\) be a function defined by \(\mathrm{f}(\mathrm{x})=\left\{\begin{array}{cc}x^2-4 x+3, & \text { if } x < 2 \ x-3, & \text { if } x \geq 2\end{array}\right.\) Then the number of real numbers \(x\) for which \(f(x)=8\) isTS EAMCET 2023 Easy
- If \(\int_{-a}^a f(x) d x=\int_0^a f(x) d x+\int_0^a g(x) d x\) then \(g(x)=\)TS EAMCET 2022 Easy
- If \(e^{i t}=\cos t+i \sin t\) and \(e^{-i t}=\cos t-i \sin t\) then \(\cos \mathrm{h}\) \((x+i y)-\cosh (x-i y)=\)TS EAMCET 2022 Hard
More PYQs from TS EAMCET
- A lamp of power \(942 \mathrm{~W}\) radiates energy uniformly in all direction. The wavelength of radiation is \(660 \mathrm{~nm}\). The photon flux on a small screen \(5.0 \mathrm{~m}\) from the lamp in units of \(\frac{\text { photon }}{m^2 \cdot s}\) is [Take Planck's constant \(h=6.6 \times 10^{-34}\) SI unit)TS EAMCET 2022 Medium
- Which of the following sets of functional groups is meta-directing group?TS EAMCET 2020 Medium
- Assertion (A) : pKa of phenol is 4.19 and that of benzoic acid is 10 Reason (R) : Phenoxide ion is stabilised by nonequivalent resonance structures whereas benzoate ion by two equivalent resonance structures The correct option among the following isTS EAMCET 2023 Medium
- \(\mathbf{x}, \mathbf{y}, \mathbf{z}\) are three vectors each of magnitude \(\sqrt{2}\) and each making an angle \(60^{\circ}\) with one another. If \(\mathbf{a}=\mathbf{x} \times(\mathbf{y} \times \mathbf{z}), \mathbf{b}=\mathbf{y} \times(\mathbf{z} \times \mathbf{x})\), \(\mathbf{c}=\mathbf{x} \times \mathbf{y}\), then \(\mathbf{x}=\)TS EAMCET 2020 Hard
- Identify the major product \(\mathrm{B}\) in the given sequence of reactions
TS EAMCET 2023 Medium - For a reaction, the threshold energy is \(75 \mathrm{~kJ} / \mathrm{mole}\). If the internal energy of the reactants is \(20 \mathrm{~kJ} / \mathrm{mole}\), the activation energy (in \(\mathrm{kJ} / \mathrm{mole}\) ) isTS EAMCET 2022 Easy