AP EAMCET · Maths · Circle
The Locus of centers of the circles, possessing the same area and having and as their common tangent, is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
Given, 3x-4y+4=0 and 6x-8y-7=0 are common tangent, Now the given lines are parallel tangents to a circle, So, the diameter of the circle is equal to the distance between these lines, So that the required radius is 12×4+729+16=12×152×15=34 The center of the circle…
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
- \(\int(\sqrt{1+\sin (2 x)}) d x=\)AP EAMCET 2020 Easy
- If \(I_n=\int(\log x)^n d x\), then \(I_n+n I_{n-1}=\)AP EAMCET 2020 Medium
- A straight line \(\mathrm{L}\) at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and the perpendicular drawn from the origin to this line makes an angle of \(60^{\circ}\) with the line \(x+y=0\). Then the equation of the line \(\mathrm{L}\) isAP EAMCET 2023 Medium
- If a real valued function
\(f(x)=\left\{\begin{array}{cl}\frac{2 x^2+(k+2) x+9}{3 x^2-7 x-6} & , \text { for } x \neq 3 \\ l & , \text { for } x=3\end{array}\right.\)
\(x=3\) and \(l\) is a finite value, then \(l-k=\)AP EAMCET 2024 Easy - \(\int \frac{3 e^x-7 e^{-x}}{7 e^x+3 e^{-x}} d x=K x+L \log \left(e^{-2 x}+\frac{7}{3}\right)+C\)
then \(K+L=\)AP EAMCET 2022 Hard - \(f: R \rightarrow R\) is a function such that \(f(0)=1\) and for all \(x, y \in R f(x y+1)=f(x) f(y)-f(y)\), \(-x+2\), then \(\frac{d f}{d x}\) at \(x=e\) isAP EAMCET 2018 Medium
More PYQs from AP EAMCET
- The solution of the differential equation \(x^2(y+1) \frac{d y}{d x}+y^2(x+1)^2=0\), when \(y(1)=2\), isAP EAMCET 2025 Medium
- Catalyst used in the manufacture of high density polythene isAP EAMCET 2018 Easy
- If \(5 x-2 y+k=0\) is a tangent to the parabola \(y^2=6 x\), then their point of contact isAP EAMCET 2018 Easy
- Solve \(I_n+n I_{n-1}\), if \(I_n=\int(\ln x)^n d x\)AP EAMCET 2020 Medium
- \(\lim _{x \rightarrow \infty}\left(\frac{2+\sin x}{x^2+3}\right)\) is equal toAP EAMCET 2021 Easy
- If \(\alpha\) is the common root of the quadratic equations \(x^2-5 x+4 a=0\), \(x^2-2 a x-8=0\), where \(a \in \mathbb{R}\), then the value of \(\alpha^4-\alpha^3+68\) isAP EAMCET 2025 Medium