TS EAMCET · Maths · Circle
If the angle between the pair of tangents drawn to the circle \(x^2+y^2-2 x+4 y+3=0\) from the point \((6,-5)\) is \(\theta\), then \(\cot \theta=\)
- A \(\frac{8}{15}\)
- B \(\frac{1}{4}\)
- C \(4\)
- D \(\frac{15}{8}\)
Answer & Solution
Correct Answer
(D) \(\frac{15}{8}\)
Step-by-step Solution
Detailed explanation
\(x^2+y^2-2 x+4 y+3=0\) \(\mathrm{PA}=\) length of tangent…
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 \(\tan 20^{\circ}=\lambda\), then \[ \frac{\tan 160^{\circ}-\tan 110^{\circ}}{1+\left(\tan 160^{\circ}\right)\left(\tan 110^{\circ}\right)}= \]TS EAMCET 2017 Easy
- If \(X\) is a Poísion variable representing number of successes in 50 trials such that \(2 P(X=1)=5 P(X=5)+2 P(X=3)\), then the probability of getting success in one trial isTS EAMCET 2019 Medium
- If the function \(f: R \rightarrow R\) is defined by \(f(x)=\left\{{l}2 x-3, \text { if } x < -2 \ x^2-1, \text { if }-2 \leq x \leq 2 \ 3 x+2, \text { if } x>2\right.\) then \(\mathrm{f}\) isTS EAMCET 2023 Easy
- A straight line through the point \(\mathrm{P}(1,2)\) makes an angle \(\theta\) with positive X -axis in anticlockwise direction and meets the line \(x+\sqrt{3} y-2 \sqrt{3}=0\) at Q. If \(\mathrm{PQ}=\frac{1}{2}\), then \(\theta=\)TS EAMCET 2025 Medium
- Let \(x=\left\{\left[\begin{array}{ll}a & b \ c & d\end{array}\right]: a, b, c, d \in \mathbb{R}\right\}\). If \(f: X \rightarrow \mathbb{R}\) is defined by \(\mathrm{f}(\mathrm{A})=\operatorname{det}(\mathrm{A}) \forall \mathrm{A} \in \mathrm{X}\), then \(\mathrm{f}\) isTS EAMCET 2023 Easy
- If \(x_n=\cos \left(\frac{\pi}{4^n}\right)+i \sin \left(\frac{\pi}{4^n}\right)\), then \(x_1 x_2 x_3 \ldots \infty\) is equal toTS EAMCET 2002 Hard
More PYQs from TS EAMCET
- Given \(\Delta H_f{ }^{\circ}\) for \(\mathrm{CO}_2(g)\), \(\mathrm{CO}(g)\) and \(\mathrm{H}_2 \mathrm{O}(g)\) are \(-393.5,-110.5\) and \(-241.8 \mathrm{~kJ} \mathrm{~mol}^{-1}\), respectively. The \(\Delta H_f{ }^{\circ}\left[\right.\) in \(\mathrm{kJ} \mathrm{mol}^{-1}\) ] for the reaction \(\mathrm{CO}_2(g)+\mathrm{H}_2(g) \longrightarrow \mathrm{CO}(g)+\mathrm{H}_2 \mathrm{O}(g)\) isTS EAMCET 2017 Medium
- A spherical capacitor consists of two concentric spherical conductors. Find the capacitance of the spherical capacitor if the outer radius is and the inner radius isTS EAMCET 2021 Easy
- The transformed equation of \(x^2+6 x y+8 y^2=10\) when the axes are rotated through an angle \(\frac{\pi}{4}\) is :TS EAMCET 2006 Medium
- \(\mathrm{AlCl}_3\) in water at \(\mathrm{pH} < 7\) formsTS EAMCET 2018 Medium
- The ratio of the maximum and minimum values attained by the function \(f(x)=1+2 \sin x+3 \cos ^2 x, 0 \leq x \leq \frac{2 \pi}{3}\) isTS EAMCET 2020 Easy
- A family of curves has the differential equation \(x y \frac{d y}{d x}=2 y^2-x^2\). Then, the family of curves isTS EAMCET 2010 Medium