AP EAMCET · Maths · Circle
The equation of a circle with centre \((5,4)\) and touch the \(Y\)-axis is
- A \(x^2+y^2-10 x-8 y-16=0\)
- B \(x^2+y^2-10 x-8 y-61=0\)
- C \(x^2+y^2+10 x+8 y+16=0\)
- D \(x^2+y^2-10 x-8 y+16=0\)
Answer & Solution
Correct Answer
(D) \(x^2+y^2-10 x-8 y+16=0\)
Step-by-step Solution
Detailed explanation
Centre \((5,4)\) circle touches \(Y\)-axis So, radius \(=5\) units Equation of circle \(\Rightarrow(x-5)^2+(y-4)^2=5^2\) \(\Rightarrow x^2+y^2-10 x-8 y+16=0\)
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
- \(x=\frac{1}{2}\left(\sqrt{3}+\frac{1}{\sqrt{3}}\right)\), then \(\frac{\sqrt{x^2-1}}{x-\sqrt{x^2-1}}\) is equal toAP EAMCET 2005 Medium
- If \(f(x)=3 e^{x^2}\) then \(f^{\prime}(x)-2 x f(x)+\frac{1}{3} f(0)-f^{\prime}(0)=\)AP EAMCET 2020 Easy
- If the lengths of the tangents drawn from a point to the three circles and are equal, then the coordinates of areAP EAMCET 2018 Medium
- If \(\int \frac{1+\cos (4 x)}{\cot (x)-\tan (x)} d x=k \cos (4 x)+c\), thenAP EAMCET 2020 Hard
- If the vectors \(a \hat{i}+\hat{j}+\hat{k} ; \hat{i}+b \hat{j}+\hat{k} ; \hat{i}+\hat{j}+c \hat{k}(\mathrm{a} \neq \mathrm{b} \neq \mathrm{c} \neq 1)\) are coplanar then \(\frac{1}{1-a}+\frac{1}{1-b}+\frac{1}{1-c}=\)AP EAMCET 2024 Medium
- If \(3 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}-\hat{\mathbf{k}}, 2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}-4 \hat{\mathbf{k}},-\hat{\mathbf{i}}+\hat{\mathbf{j}}+2 \hat{\mathbf{k}}\) and \(4 \hat{\mathbf{i}}+5 \hat{\mathbf{j}}+\lambda \hat{\mathbf{k}}\) are respectively the position vectors of four coplanar points \(P, Q, R\) and \(S\), then \(\lambda=\)AP EAMCET 2019 Medium
More PYQs from AP EAMCET
- The ore which is concentrated by leachingAP EAMCET 2018 Easy
- The point on the line \(4 x-y-2=0\) which is equidistant from the points \((-5,6)\) and \((3,2)\) isAP EAMCET 2015 Medium
- In the extraction of iron from haematite, the impurity \((x)\) of the ore is removed in the form of ' \(y\) ', what are \(x\) and \(y\) respectively?AP EAMCET 2025 Medium
- Arrange the following in increasing order of their boiling points
\(\begin{array}{ccc}\text { N-Ethylethanamine } & \text { Butanamine } & \begin{array}{c}\text { N, N-dimethyl } \\ \text { ethanamine }\end{array} \\ \text { I } & \text { II } & \text { III }\end{array}\)AP EAMCET 2023 Easy - If then the true statement among the following isAP EAMCET 2022 Medium
- Water from a tap emerges vertically downwards with initial velocity \(4 \mathrm{~ms}^{-1}\). The cross-sectional area of the tap is \(A\). The flow is steady and pressure is constant throughout the stream of water. The distance \(h\) vertically below the tap, where the cross-sectional area of the stream becomes \(\left(\frac{2}{3}\right) A\), is \(\left(g=10 \mathrm{~m} / \mathrm{s}^2\right)\)AP EAMCET 2010 Medium