TS EAMCET · Maths · Circle
The equation of a circle of radius 5 units touching another circle \(x^2+y^2-2 x-4 y-20=0\) at \((5,5)\) is
- A \(x^2+y^2+18 x+16 y-220=0\)
- B \(x^2+y^2-x-y-40=0\)
- C \(x^2+y^2+2 x-3 y-45=0\)
- D \(x^2+y^2-18 x-16 y+120=0\)
Answer & Solution
Correct Answer
(D) \(x^2+y^2-18 x-16 y+120=0\)
Step-by-step Solution
Detailed explanation
\( \text { Let }(h, k) \text { is centre of required circle, } \) \( \begin{array}{rlrl} & \therefore & 5 & =\frac{h+1}{2} \\ \Rightarrow & h & =9 \\ & & =\frac{k+2}{2} \\ \Rightarrow & k & =8 \end{array} \) Equation of circle is…
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 velocity of a particle which starts from rest is given by the following table.
The total distance travelled (in metre) by the particles in \(10 {~s}\), using Trapezoidal rule is given byTS EAMCET 2009 Medium - If the angle between the pair of lines \(x^2+2 \sqrt{2} x y+k y^2=0, k>0\) is \(45^{\circ}\), then the area (in square units) of the triangle formed by the pair of bisectors of angles between the given lines and the line \(x+2 y+1=0\) isTS EAMCET 2019 Medium
- Let \(f: \mathbb{R} \rightarrow \mathbb{R}\) be defined by \(f(x)=5^{-|x|}+\operatorname{sgn}\left(5^{-x}\right)\), where \(\operatorname{sgn} x\) denotes signum function of \(x\). Then \(f\) isTS EAMCET 2025 Medium
- The number of ways of selecting a committee of persons from boys, girls and teachers such that the participation of number of boys, girls and teachers in that committee is equal, isTS EAMCET 2021 Easy
- If represents a hyperbola, then lies inTS EAMCET 2021 Easy
- Two cards are drawn from a pack of 52 playing cards one after the other. If \(p_1\) is the probability of getting a queen in the first draw and a diamond card in the second draw when the first card drawn is replaced and \(p_2\) is the probability of the same event when the first card drawn is not replaced. Then \(\frac{\mathrm{p}_1}{\mathrm{p}_2}=\)TS EAMCET 2022 Medium
More PYQs from TS EAMCET
- Let \(f(x)=x^2 e^{-2 x}, x>0\). The maximum value of \(f(x)\) isTS EAMCET 2018 Easy
- A point charge of is placed in the plane at a location with radius vector The electric field strength and its magnitude at a point with radius vector isTS EAMCET 2018 Medium
- Four electric charges \(2 \mu \mathrm{C}, \mathrm{Q}, 4 \mu \mathrm{C}\) and \(12 \mu \mathrm{C}\) are placed on \(x\)-axis at distances \(x=0\), \(1 \mathrm{~cm}, 2 \mathrm{~cm}\) and 4 cm respectively. If the net force acting on the charge at origin is zero, then \(\mathrm{Q}=\)TS EAMCET 2025 Medium
- The increase in entropy in \(\mathrm{JK}^{-1}\) of a substance when it absorbs \(1 \mathrm{~kJ}\) of heat energy at \(3 \mathrm{~K}\) isTS EAMCET 2019 Easy
- If \(\int x^3(\log x)^2 d x=x^4\left[A(\log x)^2+B(\log x)\right.\) \(+C \log e]+K\), then \(A+B+C\)TS EAMCET 2020 Medium
- The area of the region bounded by the curves \(y=x^3, y=x^2\) and the lines \(x=0\) and \(x=2\) isTS EAMCET 2025 Medium