AP EAMCET · Maths · Circle
The equation of the circle of radius 3 that lies in the fourth quadrant and touching the lines \(x=0\) and \(y=0\) is
- A \(x^2+y^2-6 x+6 y+9=0\)
- B \(x^2+y^2-6 x-6 y+9=0\)
- C \(x^2+y^2+6 x-6 y+9=0\)
- D \(x^2+y^2+6 x+6 y+9=0\)
Answer & Solution
Correct Answer
(A) \(x^2+y^2-6 x+6 y+9=0\)
Step-by-step Solution
Detailed explanation
Given, radius \(=3\), Since, the circle touching both the coordinate axes in 4th quadrant, so equation is \(\begin{gathered}\quad(x-3)^2+(y+3)^2=3^2 \\ \Rightarrow \quad x^2+9-6 x+y^2+9+6 y=9 \\ \Rightarrow \quad x^2+y^2-6 x+6 y+9=0\end{gathered}\)
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 the direction ratios of two lines are given by 3lm − 4ln + mn = 0 and l + 2m + 3n = 0, then the angle between the lines isAP EAMCET 2021 Medium
- The equation of the plane through \((4,4,0)\) and perpendicular to the planes \(2 x+y+2 z+3=0\) and \(3 x+3 y+2 z-8=0\) isAP EAMCET 2017 Medium
- Let the equation \(\mathrm{ax}^2+2 \mathrm{hxy}+\mathrm{by}^2+2 \mathrm{gx}+2 \mathrm{fy}+\mathrm{c}=0\) represent a point circle other than the origin. Then which one of the following conditions must hold?AP EAMCET 2023 Easy
- The sum of first \(n\) terms of \(\frac{1}{2.5}+\frac{1}{5.8}+\frac{1}{8.11}+\ldots\) isAP EAMCET 2017 Medium
- Let \(f: R-\left\{\frac{-1}{2}\right\} \rightarrow R\) be defined by \(f(x)=\frac{x-2}{2 x+1}\). If \(\alpha\) and \(\beta\) satisfy the equation \(f(f(x))=-x\), then \(4\left(\alpha^2+\beta^2\right)=\)AP EAMCET 2022 Easy
- \(\int \frac{2}{1+x+x^2} d x=\)AP EAMCET 2024 Easy
More PYQs from AP EAMCET
- The parabola with directrix \(x+2 y-1=0\) and focus \((1,0)\) isAP EAMCET 2020 Easy
- If \(y=y(x)\) is the solution of \(\frac{d y}{d x}=\frac{x-y \cos x}{1+\sin x}, y\left(\frac{\pi}{2}\right)=\frac{\pi^2}{8}\), then \(y(\pi)=\)AP EAMCET 2023 Medium
- Which of the following statements is not correct?AP EAMCET 2017 Easy
- If the first three terms in the binomial expansion of \((1+b x)^n\) in ascending powers of \(x\) are \(1,6 x\) and \(6 x^2\) respectively then \(b+n=\)AP EAMCET 2017 Medium
- If \(\vec{a}, \vec{b}\) are two unit vectors with \((\vec{a}, \vec{b})=\theta\) and \(|\vec{a}-\vec{b}|=1\), then \(2|\vec{a}+\vec{b}| \cos \frac{\theta}{2}=\)AP EAMCET 2023 Easy
- The correct order of reducing abilities of hydrides of V group elements isAP EAMCET 2008 Easy