AP EAMCET · Maths · Circle
The equation of the circle which touches the X-axis and Y-axis at the points (1, 0) and (0, 1) respectively is
- A \(x^2+y^2-4 y+3=0\)
- B \(x^2+y^2-2 y+2=0\)
- C \(x^2+y^2-2 x-2 y+2=0\)
- D \(x^2+y^2-2 x-2 y+1=0\)
Answer & Solution
Correct Answer
(D) \(x^2+y^2-2 x-2 y+1=0\)
Step-by-step Solution
Detailed explanation
On plotting the diagram based on the given information, we find centre = (1,1) and radius = 1 \(\therefore\) Equation of circle, \((x-1)^2+(y-1)^2=1^2\) \[ x^2+y^2-2 x-2 y+1=0 \]
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 \(\mathrm{A}=\left\{\mathrm{x} / 9 \mathrm{x} \geq \mathrm{x}^2+20\right\}\) and \(\mathrm{f}: \mathrm{A} \rightarrow \mathrm{R}\) is defined by \(f(x)=2 x^3-15 x^2+36 x-48\), then the maximum value of \(f(x)\) isAP EAMCET 2023 Medium
- The mean deviation from the mean of the series \((a),(a+d),(a+2 d), \ldots \ldots \ldots . .,(a+2 n d)\) isAP EAMCET 2020 Easy
- The equation of the asymptotes of the hyperbola isAP EAMCET 2020 Medium
- If \(S=\left[\begin{array}{lll}0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0\end{array}\right]\) and \(A=\frac{1}{2}\left[\begin{array}{lll}b+c & c-a & b-a \\ c-b & c+a & a-b \\ b-c & a-c & a+b\end{array}\right]\), then \(\mathrm{SAS}^{-1}=\)AP EAMCET 2023 Easy
- Let \(A, B\) and \(C\) be three points in a plane. The locus of a point \(P\) moving such that \(P A^2+P B^2=2 P C^2\) is aAP EAMCET 2018 Medium
- A shopkeeper buys a particular type of electric bulbs from three manufactures \(M_1, M_2\) and \(M_3\). He buys \(25 \%\) of his requirement from \(M_1, 45 \%\) from \(M_2\), and \(30 \%\) from \(M_3\). Based on past experience he found that \(2 \%\) of type \(\mathrm{M}_3\) bulbs are defective, where as only \(1 \%\) of type \(M_1\) and type \(\mathrm{M}_2\) are detective. If a bulb chosen by him at random is defective, then the probability that it was of type \(M_3\) isAP EAMCET 2023 Easy
More PYQs from AP EAMCET
- If \(x=\sqrt{\frac{2+\sqrt{3}}{2-\sqrt{3}}}\), then \(x^2(x-4)^2\) is equal to :AP EAMCET 2006 Hard
- The solution of the equation \(\sin ^{-1} x+\sin ^{-1} 2 x=\frac{\pi}{3}\) isAP EAMCET 2019 Easy
- The magnitude of an electric field which can just suspend a deuteron of mass \(3.2 \times 10^{-27} \mathrm{~kg}\) freely in air isAP EAMCET 2024 Easy
- For \(n \geq 2\), If \(I_n=\int \sec ^n x d x\), then \(I_4-\frac{2}{3} I_2=\)AP EAMCET 2018 Hard
- The following table represents the probability distribution of a random variable \(X\) for some \(k \in Q\). Find the mean of \(X\).
\begin{array}{|c|c|c|c|c|c|c|}
\hlineX=x & -2 & -1 & 0 & 1 & 2 & 3 \\
\hlineP(X=x) & 0.1 & k & 0.2 & 2 k & 0.3 & k \\
\hline
\end{array}AP EAMCET 2020 Easy - The three dimensional structure of \(\mathrm{CH}_4\) is given below. The bonds are labelled as W, X, Y and \(\mathrm{Z}\). What are the bonds lying in the plane (A), projecting out of the plane away from the observer (B) and projecting out of the plane towards the observer (C)?
AP EAMCET 2018 Medium