AP EAMCET · Maths · Circle
Number of circles intersecting \(x^2+y^2=4\), \(x^2+y^2-2 x-3=0\) and \(x^2+y^2-2 y-3=0\) orthogonally is
- A \(0\)
- B \(1\)
- C \(2\)
- D \(\infty\)
Answer & Solution
Correct Answer
(A) \(0\)
Step-by-step Solution
Detailed explanation
\(S_1 \equiv x^2+y^2=4\)...(i) \(S_2 \equiv x^2+y^2-2 x-3=0\)...(ii) \(S_3 \equiv x^2+y^2-2 y-3=0\)...(iii) Let \(S_4 \equiv x^2+y^2+2 g x+2 f y+c\) be the circle which is orthogonal with the circles \(S_1, S_2\) and \(S_3\). Condition of orthogonal,…
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 \(\mathrm{A}(2,-1,1), \mathrm{B}(2,5,1)\) and \(\mathrm{C}(0,-2,3)\) are the vertices of a triangle. If D is the point of intersection of the side BC and the internal angular bisector of angle A, then \(\mathrm{AD}=\)AP EAMCET 2025 Medium
- 6 coins are tossed 320 times. The probability of getting 5 heads 2 times isAP EAMCET 2017 Easy
- \(\lim _{x \rightarrow 0} \frac{x+2 \sin x+3 \tan x-\tan ^3 x}{\sqrt{x^2+2 \sin x+\tan x+3}-\sqrt{\sin ^2 x-2 \tan x-x+3}}=\)AP EAMCET 2025 Medium
- If the tangent drawn to the curve \(\left(x^2+1\right)(y-3)=x\) at a point \(\mathrm{P}\), lying in the first quadrant, is a horizontal line, then the equation of the normal at the point \(\mathrm{P}\) isAP EAMCET 2023 Easy
- If \(l_1=\lim _{x \rightarrow 2^{+}}(x+[x]), l_2 \lim _{x \rightarrow 2^{-}}(2 x-[x])\) and \(l_3=\lim _{x \rightarrow \pi / 2} \frac{\cos x}{(x-\pi / 2)}\), then :AP EAMCET 2006 Medium
- If the direction cosines of two lines are given by \(l+m+n=0\) and \(m n-2 l m-2 n l=0\), then the acute angle between those lines isAP EAMCET 2024 Easy
More PYQs from AP EAMCET
- Match the following (Take the relative strength of the strongest fundamental forces in nature as one)
The correct match isAP EAMCET 2014 Easy - Two radioactive materials \(\mathrm{Y}_1\) and \(\mathrm{Y}_2\) initially contain same number of nuclei. Their decay constants are \(9 \lambda \mathrm{s}^{-1}\) and \(6 \lambda \mathrm{s}^{-1}\) respectively. The time after which the ratio of number of undecayed nuclei of \(\mathrm{Y}_1\) and \(\mathrm{Y}_2\) becomes \(\frac{1}{e}\) isAP EAMCET 2017 Hard
- The \(\mathrm{pH}\) of \(0.05 \mathrm{M}\) acetic acid is \(\left(K_a=2 \times 10^{-5}\right)\)AP EAMCET 2011 Easy
- and show similarities in properties due to the diagonal relationship except in the property given below. What is ?AP EAMCET 2018 Easy
- Which one of the following statements is not correct?AP EAMCET 2025 Medium
- The point of intersection of the latus rectum and axis of the parabola isAP EAMCET 2021 Easy