TS EAMCET · Maths · Circle
If \(\mathrm{A}(1,2), \mathrm{B}(2,1)\) are two vertices of an acute angled triangle and \(S(0,0)\) is its circumcentre, then the angle subtended by AB at the third vertex is
- A \(\tan ^{-1}\left(\frac{1}{3}\right)\)
- B \(\tan ^{-1}\left(\frac{1}{2}\right)\)
- C \(\frac{\pi}{4}\)
- D \(\frac{\pi}{6}\)
Answer & Solution
Correct Answer
(A) \(\tan ^{-1}\left(\frac{1}{3}\right)\)
Step-by-step Solution
Detailed explanation
Slope of \(A S=2 ;\) Slope of \(B S=\frac{1}{2}\)…
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
- The derivative of with respect to at isTS EAMCET 2019 Medium
- If the domain of the real valued function \(f(x)=\frac{1}{\sqrt{\log _{\frac{1}{3}}\left(\frac{x-1}{2-x}\right)}}\) is \((a, b)\), then \(2 b=\)TS EAMCET 2025 Medium
- If and thenTS EAMCET 2021 Medium
- If \(\quad f: R \rightarrow R \quad\) is defined by \(f(x)=[x-3]+|x-4|\) for \(x \in R\), then \(\lim _{x \rightarrow 3^{-}} f(x)\) is equal toTS EAMCET 2008 Medium
- If the volume of a sphere increases at the rate of \(2 \pi \mathrm{cm}^3 / \mathrm{s}\), then the rate of increase of its radius (in \(\mathrm{cm} / \mathrm{s}\) ), when the volume is \(288 \pi \mathrm{cm}^3\), isTS EAMCET 2012 Easy
- If \(\int_0^{\pi / 2} \tan ^{14}\left(\frac{x}{2}\right) d x=2\left[\sum_{n=1}^7 f(n)-\frac{\pi}{4}\right]\), then \(f(n)=\)TS EAMCET 2025 Hard
More PYQs from TS EAMCET
- An object is placed in front of a spherical concave mirror between the focal point and the radius of curvature. Its image isTS EAMCET 2021 Hard
- An electron and a positron enter a uniform electric field \(E\) perpendicular to it with equal speeds at the same time. The distance of separation between them in the direction of the field after a time ' \(t\) ' is \(\left(\frac{\mathrm{e}}{\mathrm{m}}\right.\) is specific charge of electron \()\)TS EAMCET 2025 Medium
- \(a\) and \(b\) are the semi-major and semi-minor axes of an ellipse whose axes are along the coordinate axes. If its latus rectum is of length 4 units and the distance between its foci is \(4 \sqrt{2}\), then \(a^2+b^2=\)TS EAMCET 2024 Easy
- A parallel plate capacitor of capacity \(100 \mu \mathrm{F}\) is charged by a battery of 50 volts. The battery remains connected and if the plates of the capacitor are separated so that the distance between them becomes double the original distance, the additional energy given by the battery to the capacitor in joules isTS EAMCET 2002 Hard
- \(\lim _{x \rightarrow \infty}\left(\frac{x+5}{x+2}\right)^{x+3}\) equalsTS EAMCET 2009 Medium
- A square loop of side ' \(a\) ' and carrying a current ' \(\mathrm{T}\) ' is suspended from an insulting hanger of a spring balance as shown in the figure. The transverse magnetic field ' \(\mathrm{B}\) ' directed into the paper occurs only at the bottom side of the loop. When direction of current in the loop is reversed, the change in the reading of spring balance is
TS EAMCET 2023 Easy