AP EAMCET · Maths · Circle
If \(\mathrm{Q}(h, k)\) is the inverse point of the point \(\mathrm{P}(1,2)\) with respect to the circle \(x^2+y^2-4 x+1-0\), then \(2 h+k=\)
- A \(3\)
- B \(4\)
- C \(7\)
- D \(11\)
Answer & Solution
Correct Answer
(B) \(4\)
Step-by-step Solution
Detailed explanation
Given equation of circle \(x^2+y^2-4 x+1=0\) \(\Rightarrow(x-2)^2+y^2=3\). So, centre \(=(2,0)\), radius \(=\sqrt{3}\) Now, inverse point is \(\mathrm{h}=\alpha(1-2)+2 \Rightarrow k=\alpha(2-0)+0\) where, \(\alpha=\frac{r^2}{(1-2)^2+(2-0)^2}=\frac{3}{1+4}=\frac{3}{5}\) Now,…
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
- The equation of circle whose diameter is the diagonal of the rectangle with sides \(x=4, x=-2, y=5, y=-2\), isAP EAMCET 2017 Easy
- If a point \(\mathrm{R}(4, \mathrm{y}, \mathrm{z})\) lies on the line joining the points \(P(2,-3,4)\) and \(Q(8,0,10)\), then distance of \(R\) from origin isAP EAMCET 2023 Easy
- The foci of the ellipse \(9 x^2+25 y^2=225\) areAP EAMCET 2022 Easy
- By eliminating the arbitrary constants from , the differential equation obtained is of orderAP EAMCET 2022 Medium
- For a parallelogram \(A B C D\), if \(L\) and \(M\) are mid-points of \(B C\) and \(C D\), then \(\mathbf{A L}+\mathbf{A M}=\)AP EAMCET 2020 Medium
- Two dice are thrown and the sum of the numbers appeared on the dice is noted. If \(A\) is the event of getting a prime number as their sum and \(B\) is the event of getting a number greater than 8 as their sum, then \(\mathrm{P}(\mathrm{A} \cap \overline{\mathrm{B}})=\)AP EAMCET 2025 Medium
More PYQs from AP EAMCET
- At \(\mathrm{T}(\mathrm{K})\), the \(\mathrm{u}_{\mathrm{rms}}\) of \(\mathrm{CO}_2\) is \(412 \mathrm{~ms}^{-1}\). What is its kinetic energy (in \(\mathrm{kJ} \mathrm{mol}^{-1}\) ) at the same temperature ? \(\left(\mathrm{CO}_2=44 \mathrm{u}\right)\).AP EAMCET 2025 Medium
- For what values of , the quadratic expression can be factorised as , where ?AP EAMCET 2022 Medium
- The defect produced due to the presence of extra cations at interstitial sites is calledAP EAMCET 2020 Easy
- \(\int\left(\sqrt{\frac{a+x}{a-x}}+\sqrt{\frac{a-x}{a+x}}\right) d x\) is equal toAP EAMCET 2011 Medium
- In a Carnot's engine, as the gas absorbs heat energy from the source, then the temperature of the sourceAP EAMCET 2023 Easy
- A mixture of dichloromethane and aniline can be separated byAP EAMCET 2021 Medium