TS EAMCET · Maths · Circle
The length of the tangent drawn to the circle \(x^2+y^2-2 x+4 y-11=0\) from the point \((1,3)\) is :
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(C) 3
Step-by-step Solution
Detailed explanation
The length of the tangent drawn to the circle \(x^2+y^2-2 x+4 y-11=0\) from the point \((1,3)\) \(=\sqrt{1^2+3^2-2 \cdot 1+12-11}\) \(=\sqrt{1+9-2+12-11}\) \(=\sqrt{22-13}=\sqrt{9}\) \(=3\)
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
- \(\frac{\cos 13^{\circ}-\sin 13^{\circ}}{\cos 13^{\circ}+\sin 13^{\circ}}+\frac{1}{\cot 148^{\circ}}\) is equal toTS EAMCET 2016 Easy
- If \(F_1\) and \(F_2\) are the focii of the ellipse \(16 x^2+25 y^2=400\) and \(P\) is any point on it, then the value of the product \(P F_1 \cdot P F_2\) lie in the intervalTS EAMCET 2021 Easy
- The acute angle between \(\mathbf{r}=(-\hat{\mathbf{i}}+3 \hat{\mathbf{k}})+\lambda(2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+6 \hat{\mathbf{k}})\) and \(\mathbf{r} \cdot(10 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}-11 \hat{\mathbf{k}})=3\), isTS EAMCET 2019 Easy
- The number of integral values of \(x\) satisfying \(9 x-2 < (x+2)^2 < 12 x-3\) isTS EAMCET 2020 Easy
- If the circle \(x^2+y^2+2 x+3 y+1=0\) cuts another circle \(x^2+y^2+4 x+3 y+2=0\) in \(A\) and \(B\), then the equation of the circle with \(A B\) as a diameter isTS EAMCET 2010 Hard
- Let the transformed equation of so that the term containing the cubic power of is absent be . ThenTS EAMCET 2022 Medium
More PYQs from TS EAMCET
- If the radius of the earth becomes \(x\) times its present value, the new period of rotation in hours isTS EAMCET 2023 Easy
- The first ionisation energies (in ) of four consecutive elements of the second period are given in the options. The first ionisation energy of nitrogen isTS EAMCET 2021 Hard
- Which one of the following elements does not form triiodide on reacting with iodine?TS EAMCET 2015 Medium
- There is a possible error of 0.02 cm in measuring the base diameter of a right circular cone as 14 cm. If the semi-vertical angle of the cone is \(45^{\circ}\), then the approximate error in its volume is (in cu. cm)TS EAMCET 2025 Medium
- Let \(A(3 \hat{\mathbf{i}}+\hat{\mathbf{j}}-\hat{\mathbf{k}})\) and \(B(13 \hat{\mathbf{i}}-4 \hat{\mathbf{j}}+9 \hat{\mathbf{k}})\) be two points on a line \(L\). \(C\) and \(D\) be the points on \(L\) on either side of \(A\) at distance of 9 and 6 units respectively and \(C\) lies between \(A\) and \(B\). Then position vectors of \(C\) and \(D\) are respectivelyTS EAMCET 2020 Medium
- The radius of the first orbit of hydrogen is \(\mathrm{r}_{\mathrm{H}}\), and the energy in the ground state is - \(13.6 \mathrm{eV}\). Considering a \(\mu^{-}\)-particle with a mass \(207 m_e\) revolving round a proton as in hydrogen atom, the energy and radius of proton and \(\mu^{-}\)- combination respectively in the first orbit are (assume nucleus to be stationary)TS EAMCET 2014 Hard