AP EAMCET · Maths · Circle
The ratio of the areas of the concentric circles \(x^2+y^2-\) \(6 x+12 y+15=0\) and \(x^2+y^2-6 x+12 y-15=0\) is
- A \(1: \sqrt{2}\)
- B \(1: \sqrt{3}\)
- C \(1: 2\)
- D \(1: 4\)
Answer & Solution
Correct Answer
(C) \(1: 2\)
Step-by-step Solution
Detailed explanation
Given \(C_1=x^2+y^2-6 x+12 y+15=0\) and \(C_2=x^2+y^2-6 x+12 y-15=0\) \(\Rightarrow r_1=\sqrt{30}\) and \(r_2=\sqrt{60}\) Now ratio of their areas \(=1: 2\)
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
- Three squares of a chessboard are selected at random. The probability of selecting two squares of one colour and the other of a different colour is equal toAP EAMCET 2020 Easy
- If \(\overline{\mathbf{P O}}+\overline{\mathbf{O Q}}=\overline{\mathbf{Q O}}+\overline{\mathbf{O R}}\), thenAP EAMCET 2020 Easy
- If , then the chord joining points and on the ellipse will subtend a right angle atAP EAMCET 2021 Medium
- If the perpendicular distance from \((1,2,4)\) to the plane \(2 x+2 y-z+k=0\) is 3 , then \(k=\)AP EAMCET 2024 Easy
- If \(\alpha\) and \(\beta\) are the roots of the equation \(a x^2+b x+c=0\) and, if \(p x^2+q x+r=0\) has roots \(\frac{1-\alpha}{\alpha}\) and \(\frac{1-\beta}{\beta}\), then \(r\) is equal toAP EAMCET 2007 Hard
- \(\lim _{x \rightarrow 0} \frac{\cos 2 x-\cos 3 x}{\cos 4 x-\cos 5 x}=\)AP EAMCET 2024 Easy
More PYQs from AP EAMCET
- If \(2.5+5.9+8.13+11.17+\ldots\) to n terms \(=\mathrm{an}^3+\mathrm{bn}^2+\mathrm{cn}+\mathrm{d}\), then \(a-b+c-d=\)AP EAMCET 2025 Medium
- A message signal of 3 kHz is used to modulate a carrier signal frequency 1 MHz using amplitude modulation. The upper side band frequency and band width respectively areAP EAMCET 2024 Easy
- IUPAC name of the following compound is
AP EAMCET 2025 Medium - \(\mathrm{S}=\{\mathrm{z} \in \mathrm{C} /|\mathrm{z}-1+\mathrm{i}|=1\}\) representsAP EAMCET 2023 Medium
- A rubber cube of side \(5 \mathrm{~cm}\) has one face fixed, while a tangential force \(1800 \mathrm{~N}\) is applied on its opposite face. If modulus of rigidity of rubber is \(2.4 \times 10^6 \mathrm{Nm}^{-2}\), then the lateral displacement of the strained face is ________AP EAMCET 2018 Medium
- Let \(\mathrm{P}(\alpha, 4,7)\) and \(\mathrm{Q}(3, \beta, 8)\) are two points. If YZ - plane divides the join of the points \(P\) and \(Q\) in the ratio 2:3 and ZX - plane divides the join of P and Q in the ratio \(4: 5\). then length of line segment PQ isAP EAMCET 2024 Easy