AP EAMCET · Maths · Circle
If one end of diameter of the circle \(x^2+y^2-4 x-6 y+11=0\) is \((3,4)\), then the other end of the diameter is
- A \((0,1)\)
- B \((1,1)\)
- C \((1,2)\)
- D \((1,0)\)
Answer & Solution
Correct Answer
(C) \((1,2)\)
Step-by-step Solution
Detailed explanation
Given, circle \(x^2+y^2-4 x-6 y+11=0\) \(\Rightarrow \quad\) Centre \(=(2,3)\) One end diameter \(=(3,4)\) Let other end be \((h, k)\) So, \(\frac{h+3}{2}=2, \frac{k+4}{2}=3\) \(\Rightarrow h=1, k=2\)
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
- If , thenAP EAMCET 2021 Hard
- \(\sec h^{-1}\left(\frac{1}{2}\right)-\operatorname{cosec} h^{-1}\left(\frac{3}{4}\right)\) equals toAP EAMCET 2014 Hard
- The radical axis of any two circles is to the line joining their centresAP EAMCET 2020 Medium
- A line passing through \(P(4,2)\) cuts the coordinate axes at \(A\) and \(B\) respectively. If \(O\) is the origin, then the locus of the centre of the circum-circle of \(\triangle O A B\) isAP EAMCET 2019 Medium
- The interval in which \(y=\ln (\ln (x)), x>1\) is decreasing isAP EAMCET 2020 Easy
- For two given vectors \(\bar{a}\) and \(\bar{b}\) if the vectors \(\overline{\mathrm{A}}, \overline{\mathrm{B}}\) are such that \(\overline{\mathrm{A}}+\overline{\mathrm{B}}=\bar{a}, \overline{\mathrm{A}} \times \overline{\mathrm{B}}=\bar{b}\) and \(\overline{\mathrm{A}} \cdot \bar{a}=1\), then \(\overline{\mathrm{A}}=\)AP EAMCET 2017 Medium
More PYQs from AP EAMCET
- Let the plane \(a x+b y+c z+d=0\) bisect the line joining the points \((4,-3,1)\) and \((2,3,-5)\) at the right angles. If \(a, b, c, d\) are integers, then the minimum value of \(\left(a^2+b^2+c^2+d^2\right)\) isAP EAMCET 2022 Easy
- Arrange the following carbocations in the increasing order of stability with respect to their labels.
\(\begin{array}{c|c}
\hline \text { Label } & \text { Carbocation } \\
\hline 1 & \left(\mathrm{CH}_3\right)_2 \mathrm{CH}^{+} \\
\hline 2 & \mathrm{CH}_3^{+} \\
\hline 3 & \left(\mathrm{CH}_3\right)_3 \mathrm{C}^{+} \\
\hline 4 & \mathrm{CH}_3-\mathrm{CH}_2^{+} \\
\hline
\end{array}\)AP EAMCET 2020 Easy - Observe the following equilibrium at \(\mathrm{T}(\mathrm{K})\)
\(\mathrm{H}_2(\mathrm{~g})+\mathrm{I}_2(\mathrm{~g}) \rightleftharpoons 2 \mathrm{HI}(\mathrm{g})\)
Which one of the following does not disturb the above equilibrium?AP EAMCET 2023 Easy - At \(T(\mathrm{~K}), 100 \mathrm{~L}\) of dry oxygen is present in a sealed container. It is subjected to silent electric discharge, till the volumes of oxygen and ozone become equal. What is the volume (in litres) of ozone formed at \(T(\mathrm{~K})\) ?AP EAMCET 2006 Easy
- A series LCR circuit is shown in the figure. Where the inductance of 10 H , capacitance \(40 \mu \mathrm{~F}\) and resistance 60 \(\Omega\) are connected to a variable frequency 240 V source. The current at resonating frequency is
AP EAMCET 2024 Easy - The shortest wavelength in hydrogen spectrum approximately isAP EAMCET 2021 Medium