TS EAMCET · Maths · Circle
The number of common tangents to the two circles \(x^2+y^2-8 x+2 y=0 \quad\) and \(x^2+y^2-2 x-16 y+25=0\) is :
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
The equations of circles are \(x^2+y^2-8 x+2 y=0\) and \(x^2+y^2-2 x-16 y+25=0\) The centre and radius of first circle are \(C_1(4,-1)\) and \(\sqrt{17}\) respectively. Also the centre and radius of second circle are \(C_2(1,8)\) and \(\sqrt{40}\) respectively.…
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 line segment joining the vertex of the parabola \(y^2=4 a x\) and a point on the parabola, makes an angle \(\theta\) with the positive \(X\)-axis, then the length of that line segment isTS EAMCET 2019 Medium
- If \(x \in(-\pi, \pi)\) then the number of solutions of the equation \(2 \sin x \sin 3 x \sin 5 x+\sin 5 x \cos 4 x=0\) isTS EAMCET 2025 Medium
- If \(5 x-12 y+10=0\) and \(12 y-5 x+16=0\) are two tangents to a circle, then the radius of the circle isTS EAMCET 2003 Easy
- The general solution of the differential equation \(\left(2 x-10 y^3\right) d y+y d x=0, y \neq 0\) isTS EAMCET 2023 Medium
- The solution of the equation \(2 \cosh 2 x+10 \sinh 2 x=5\) isTS EAMCET 2019 Medium
- Let \(A\) be a vertex of the ellipse \(S \equiv \frac{x^2}{4}+\frac{y^2}{9}-1=0\) and \(F\) be a focus of the ellipse \(S^{\prime} \equiv \frac{x^2}{9}+\frac{y^2}{4}-1=0\). Let \(P\) be a point on the major axis of the ellipse \(S^{\prime}=0\), which divides \(\overline{O F}\) in the ratio \(2: 1\) ( \(O\) is the origin). If the length of the chord of the ellipse \(S=0\) through \(A\) and \(P\) is \(\frac{3 \sqrt{101}}{k}\), then \(k=\)TS EAMCET 2018 Medium
More PYQs from TS EAMCET
- The most general value of \(\theta\) which satisfies both the equations \(\tan 8=-1\) and \(\cos \theta=\frac{1}{\sqrt{2}}\) isTS EAMCET 2011 Medium
- At \(\mathrm{T}(\mathrm{K}), \mathrm{K}_{\mathrm{c}}\) for the dissociation of \(\mathrm{PCl}_5\) is \(2 \times 10^{-2} \mathrm{~mol}\) \(\mathrm{L}^{-1}\). The number of moles of \(\mathrm{PCl}_5\) that must be taken in 1.0 L flask at the same temperature to get 0.2 mol of chlorine at equilibrium isTS EAMCET 2024 Easy
- A sample of argon of \(1 \mathrm{~atm}\) pressure and \(300 \mathrm{~K}\) expands reversibly and adiabatically from \(1.25 \mathrm{dm}^3\) to \(2.5 \mathrm{dm}^3\). Calculate the approximate enthalpy (in J) change (i) \(C_V\) for argon is \(12.48 \mathrm{JK}^{-1}\) (ii) Assume argon to be an ideal gas (iii) \(\Delta T=111.5 \mathrm{~K}\)TS EAMCET 2018 Hard
- The weight in grams of a non-volatile solute (mol. wt. 60) to be dissolved in \(90 \mathrm{~g}\) of water to produce a relative lowering of vapour pressure of 0.02 isTS EAMCET 2012 Easy
- Choose the correct statement.TS EAMCET 2020 Easy
- A solenoid of length \(2 \mathrm{~m}\) carries a current of \(20 \mathrm{~A}\). The diameter of the solenoid is \(3 \mathrm{~cm}\). If the magnetic field inside the solenoid is \(20 \mathrm{mT}\), then the length of wire forming the solenoid is (assume, \(\mu_0=4 \pi \times 10^{-7} \mathrm{H} / \mathrm{m}\) )TS EAMCET 2020 Easy