TS EAMCET · Maths · Circle
If \(\mathrm{P}\left(\frac{7}{5}, \frac{6}{5}\right)\) is the inverse point of \(\mathrm{A}(1,2)\) with respect to a circle with centre \(\mathrm{C}(2,0)\), then the radius of that circle is
- A 9
- B 3
- C \(\sqrt{3}\)
- D 1
Answer & Solution
Correct Answer
(C) \(\sqrt{3}\)
Step-by-step Solution
Detailed explanation
\( \mathrm{CA} = \sqrt{(1-2)^2 + (2-0)^2} = \sqrt{1+4} = \sqrt{5} \)…
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
- Assertion (A) If the tangent and normal to the ellipse \(9 x^2+16 y^2=144\) at the point \(p\left(\frac{\pi}{3}\right)\) on it meet the major axis in \(Q\) and \(R\) respectively, then \(Q R=\frac{57}{8}\). Reason (R) If the tangent and normal to the ellipse \(\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\) at the point \(P(\theta)\) on it meet the major axis in \(Q\) and \(R\) respectively, then \(Q R=\left|\frac{a^2 \sin ^2 \theta-b^2 \cos ^2 \theta}{a \cos \theta}\right|\) The correct answer isTS EAMCET 2019 Medium
- If \(A\) is an invertible matrix of order \(n\), then the determinant of \(\operatorname{adj} A\) is equal to :TS EAMCET 2006 Medium
- If '' is the mean of a Poisson distribution, thenTS EAMCET 2021 Easy
- If the system of homogeneous equations
\(\begin{aligned} & t x+(t+1) y+(t-1) z=0 \\ & (t+1) x+t y+(t+2) z=0 \\ & (t-1) x+(t+2) y+t z=0\end{aligned}\)
in \(x, y, z\) has a non-trivial solution, then \(t\) is a root of the equationTS EAMCET 2019 Easy - Assertion (A) The direction ratios of line \(L_1\) are 2, 5, 7 and those of line \(L_2\) are \(\frac{4}{\sqrt{19}}, \frac{10}{\sqrt{19}}\), \(\frac{14}{\sqrt{19}}\). The lines \(L_1, L_2\) are parallel.Reason (R) The direction ratios of a line \(L_1\) are \(a_1, b_1, c_1\) and those of another line \(L_2\) are \(a_2, b_2, c_2\). The lines \(L_1\) and \(L_2\) are parallel if \(a_1 a_2+b_1 b_2+c_1 c_2=0\) The correct option among the following isTS EAMCET 2020 Medium
- If \(y=\tan ^{-1}\left(\frac{\sqrt{1+a^2 x^2}-1}{a x}\right)\), then \(\left(1+a^2 x^2\right){y^{\prime}}^{\prime}+2 a^2 x y^{\prime}\) is equal toTS EAMCET 2014 Hard
More PYQs from TS EAMCET
- At \(550 \mathrm{~K}\), the \(K_c\) for the following reaction is \(10^4 \mathrm{~mol}^{-1} \mathrm{~L} X(g)+Y(g) \rightleftharpoons Z(g)\) At equilibrium, it was observed that \([X]=\frac{1}{2}[Y]=\frac{1}{2}[Z]\) What is the value of [Z] (in \(\mathrm{mol} \mathrm{L}^{-1}\) ) at equilibrium?TS EAMCET 2005 Easy
- The angle \(A\) of \(\triangle A B C\) is found by measurement to be \(67 \frac{1^{\circ}}{2}\) and the area of \(\triangle A B C\) is calculated from the measurements of \(b, c, A\). In measuring \(A\), an error of \(9 \mathrm{~min}\) is made then the percentage error in the area of the triangle isTS EAMCET 2020 Medium
- The magnitude of maximum acceleration is \(\pi\) times that of maximum velocity of a simple harmonic oscillator. The time period of the oscillator in seconds isTS EAMCET 2007 Easy
- A benzene derivative did not produce white precipitate with the ammonical silver nitrate solution but decolorised the cold dilute alkaline \(\mathrm{KMnO}_4\) solution. The compound isTS EAMCET 2020 Hard
- If in a \(\triangle A B C, \frac{1}{a+c}+\frac{1}{b+c}=\frac{3}{a+b+c}\), then \(\angle C\) is equal toTS EAMCET 2013 Medium
- In which of the following reactions the product is an ether?TS EAMCET 2005 Medium