TS EAMCET · Maths · Circle
The locus of the centre of circles passing through \((a, b)\) and cut the circle \(x^2+y^2-2 x+4 y-4=0\) orthogonally is
- A \((a+1) x+(b+2) y=\frac{a^2+b^2+4}{2}\)
- B \((a+1) x+(b-2) y=\frac{a^2+b^2+4}{2}\)
- C \((a-1) x+(b+2) y=\left(\frac{a^2+b^2+4}{2}\right)\)
- D \((a-1) x+(b-2) y=\frac{a^2+b^2+4}{2}\)
Answer & Solution
Correct Answer
(C) \((a-1) x+(b+2) y=\left(\frac{a^2+b^2+4}{2}\right)\)
Step-by-step Solution
Detailed explanation
Let the equation of one of the circles be \[ x^2+y^2+2 g x+2 f y+c=0 \] Since, it passes through \((a, b)\). Hence, \(a^2+b^2+2 g a+2 f b+c=0\) Also, it cuts the circle \(x^2+y^2-2 x+4 y-4=0\) orthogonally.…
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 \(f\) is defined on \(\mathbb{R}\) such that \(f(\mathrm{x}) f(-\mathrm{x})=9\), then \(\int_{-23}^{23} \frac{d x}{3+f(x)}\)TS EAMCET 2023 Hard
- Let be a vector in the plane containing vectors and . If is perpendicular to and its projection on is , thenTS EAMCET 2022 Medium
- For all \(x \in R\), the minimum value \(\frac{1}{3}\) and the maximum value 3 of \(\frac{x^2+x+1}{x^2-x+1}\) exist at \(l\) and \(m\) respectively, then \(l+m\) is equal toTS EAMCET 2021 Easy
- If \(\int \frac{\left(x^2-1\right)}{(x+1)^2 \sqrt{x\left(x^2+x+1\right)}} d x\) \(=A \tan ^{-1}\left(\sqrt{\frac{x^2+x+1}{x}}\right)+C\), in which \(C\) is a constant, then \(A\) equals toTS EAMCET 2014 Hard
- If is a matrix and the matrix obtained by replacing the elements of with their corresponding cofactors is , then a possible value of the determinant of isTS EAMCET 2020 Easy
- \(\left[\frac{1+\cos \left(\frac{\pi}{12}\right)+i \sin \left(\frac{\pi}{12}\right)}{1+\cos \left(\frac{\pi}{12}\right)-i \sin \left(\frac{\pi}{12}\right)}\right]^{72}=\)TS EAMCET 2017 Medium
More PYQs from TS EAMCET
- The number of circles that touch all the three lines \(x+y-1=0, x-y-1=0\) and \(y+1=0\) isTS EAMCET 2004 Medium
- Which of the following series correctly represents the energy of the radiation?TS EAMCET 2019 Easy
- If and be three non-coplanar vectors and and be defined by such thatTS EAMCET 2020 Medium
- For any quadratic polynomial it is true that
where is any real number.
If and thenTS EAMCET 2021 Medium - Identify the reactions in which is liberated. (excess)TS EAMCET 2018 Hard
- Assertion (A) \(\mathrm{LiCl}\) and \(\mathrm{MgCl}_2\) are soluble in ethanol. Reason (R) Lithium and magnesium are harder than their respective group elements. The correct option among the following isTS EAMCET 2021 Easy