TS EAMCET · Maths · Circle
The radius of a circle touching all the four circles \((x \pm \lambda)^2+(y \pm \lambda)^2=\lambda^2\) is
- A \(2 \sqrt{2} \lambda\)
- B \((\sqrt{2}-1) \lambda\)
- C \((2+\sqrt{2}) \lambda\)
- D \((2-\sqrt{2}) \lambda\)
Answer & Solution
Correct Answer
(B) \((\sqrt{2}-1) \lambda\)
Step-by-step Solution
Detailed explanation
Clearly the required circle have circle with centre at origin In figure, If radius of such circle \(=r\) then \(\mathrm{OB}=r\)…
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
- Let \(\vec{a}=2 \hat{i}-\hat{j}+\hat{k}\) be the position vector of a point \(\mathrm{A}\). Let \(\vec{b}=\hat{i}+2 \hat{j}-\hat{k}\) and \(\vec{c}=\hat{i}+\hat{j}-2 \hat{k}\) be two vectors and \(\vec{r}\) be a vector passing through the point \(A(\vec{a})\) and parallel to the vector \(\vec{b}\). If the projection of \(\vec{r}\) on \(\vec{c}\) is \(\frac{9}{\sqrt{6}}\) then \(|\vec{r}|=\)TS EAMCET 2023 Easy
- A boy spcaks truth in 3 out of 5 times. If he throws a die and tells that the number appeared on it is five, then the probability that it is actually five, isTS EAMCET 2019 Easy
- If the system of simultaneous linear equations \(x-2 y+z=0,2 x+3 y+z=6\) and \(x+2 y+p z=q\) has infinitely many solutions, thenTS EAMCET 2025 Medium
- If \(f(x)\) is a polynomial of degree \(n\) with rational coefficients and \(1+2 i, 2-\sqrt{3}\) and 5 are three roots of \(f(x)=0\), then the least value of \(n\) isTS EAMCET 2004 Hard
- Let be a non-zero vector. If and thenTS EAMCET 2019 Medium
- The area (in sq units) of the equilateral triangle formed by the tangent at \((\sqrt{3}, 0)\) to the hyperbola \(x^2-3 y^2=3\) with the pair of asymptotes of the hyperbola isTS EAMCET 2012 Medium
More PYQs from TS EAMCET
- The block starts from rest as shown in the figure. Find the work done by force of \(10 \mathrm{I}\) and friction in the time 0 to \(4 \mathrm{~s}\). [Take, \(g=10 \mathrm{~m} / \mathrm{s}^2\) ]
TS EAMCET 2020 Easy - Which of the following method is adopted to obtain gasoline from crude oilTS EAMCET 2019 Easy
- Two balls are released from the same position at a height of above ground, one after the other, with an interval of What is the distance between the two balls when the first hits ground?
(Acceleration due to gravity )TS EAMCET 2021 Hard - A cell in secondary circuit gives null deflection for \(2.5 \mathrm{~m}\) length of potentiometer having \(10 \mathrm{~m}\) length of wire. If the length of the potentiometer wire is increased by \(1 \mathrm{~m}\) without changing the cell in the primary, the position of the null point now isTS EAMCET 2009 Easy
- Match the following: List-I (Atomic number) A. 56 B. 50 C. 27 D. 58 List - II (Group number \& Period number) I. 9,4 II. 3,6 III. 14,5 IV. 2,6TS EAMCET 2023 Easy
- In the figure, the chamber A contains a gas, movable chamber B is placed on the top of the gas and it contains \(\mathrm{n}\) metal balls. The weight of chamber B is supported by the gas. Chamber \(\mathrm{C}\) has vacuum. Let the gas be in equilibrium at pressure \(\mathrm{P}\). Let \(\mathrm{P}^{\prime}\) be the pressure if one of the balls is taken away. Find \(\left(\mathrm{P}-\mathrm{P}^{\prime}\right) / \mathrm{P}\).
TS EAMCET 2022 Hard