TS EAMCET · Maths · Circle
The equation of a circle passing through \((-6,3)\) and touching both the coordinate axes is
- A \(x^2+y^2+20 x-20 y+100=0\)
- B \(x^2+y^2+10 x-10 y+25=0\)
- C \(x^2+y^2+6 x-6 y+9=0\)
- D \(x^2+y^2-30 x+30 y+225=0\)
Answer & Solution
Correct Answer
(C) \(x^2+y^2+6 x-6 y+9=0\)
Step-by-step Solution
Detailed explanation
Let radius \(=r\) \(\therefore \quad\) Centre \((-r, r)\) Equation on the circle : \(\begin{aligned} & (x+r)^2+(y-r)^2=r^2 \\ & \Rightarrow x^2+y^2+2 x r-2 y r+r^2=0\end{aligned}\) \(\because \quad\) lt passes through \((-6,3)\)…
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 equations \(x^2+p x+2=0\) and \(x^2+x+2 p=0\) have a common root then the sum of the roots of the equation \(x^2+2 p x+8=0\) isTS EAMCET 2025 Medium
- If \(\cosh ^{-1} x=2 \log _e(\sqrt{2}+1)\), then \(x=\)TS EAMCET 2017 Easy
- The line \(y=m x+c\) intercepts the circle \(x^2+y^2=r^2\) in two distinct points, ifTS EAMCET 2002 Medium
- If \(\mathbf{a}\) and \(\mathbf{b}\) are wit vectors and \(\alpha\) is the angle between them, then \(\mathbf{a}+\mathbf{b}\) is a wnit vector when \(\cos \alpha=\)TS EAMCET 2017 Easy
- If and thenTS EAMCET 2021 Easy
- In a are the perpendicular bisectors of its sides and respectively and if is then the slope of the side isTS EAMCET 2021 Medium
More PYQs from TS EAMCET
- The mean and standard deviation of a binomial variate \(X\) are 4 and \(\sqrt{3}\) respectively. Then \(P(X \geq 1)\) is equal toTS EAMCET 2007 Easy
- \(\int \frac{2 \cos 3 x-3 \sin 3 x}{\cos 3 x+2 \sin 3 x} d x=\)TS EAMCET 2024 Hard
- The drug tetracycline isTS EAMCET 2018 Easy
- Equations of the latus rectum of the ellipse \(9 x^2+4 y^2-18 x-8 y-23=0\) are :TS EAMCET 2006 Medium
- If \(A=\sin ^2 \theta+\cos ^4 \theta\), then for all values of \(\theta, A\) lies in the intervalTS EAMCET 2015 Easy
- Two bar magnets \(A\) and \(B\) are placed one over the other and are allowed to vibrate in a vibration magnetometer. They make 20 oscillations per minute when the similar poles of \(A\) and \(B\) are on the same side, while they make 15 oscillations per minute when their opposite poles lie on the same side. If \(M_A\) and \(M_B\) are the magnetic moments of \(A\) and \(B\) and if \(M_A>M_B\), the ratio of \(M_A\) and \(M_B\) isTS EAMCET 2009 Easy