TS EAMCET · Maths · Circle
If a circle ' \(S\) ' passing through the origin and having its centre on the line \(x-y=0\) cuts the circle \(x^2+y^2-4 x-6 y\) \(+10=0\) orthogonally, then the diameter of 'S' is
- A \(\sqrt{2}\)
- B 2
- C \(2 \sqrt{2}\)
- D 4
Answer & Solution
Correct Answer
(C) \(2 \sqrt{2}\)
Step-by-step Solution
Detailed explanation
\(\because\) Circle passing through origin. \(\therefore c=0\) Centre lies on \(y=x \Rightarrow\) centre \((-g,-g)\)…
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
- Assume that are the roots of For , if are roots of thenTS EAMCET 2019 Hard
- The eccentricity of the conic \(36 x^2+144 y^2-36 x-96 y-119=0\) isTS EAMCET 2004 Easy
- If \(y=f(x)^{g(x)}\) and \(\frac{d y}{d x}=y\left[\mathrm{H}(x) f^{\prime}(x)+\mathrm{G}(x) g^{\prime}(x)\right]\), then \(\int \frac{\mathrm{G}(x) \mathrm{H}(x) f^{\prime}(x)}{g(x)} d x=\)TS EAMCET 2025 Medium
- The function \(f: R \rightarrow R\) is defined by \(f(x)=3^{-x}\). Observe the following statements of it I. \(f\) is one-one II. \(f\) is onto III. \(f\) is a decreasing function Out of these, true statement areTS EAMCET 2004 Medium
- Two dice are rolled. If a random variable \(X\) denotes the sum of the numbers on them and \(\mu\) denotes the mean of \(X\), then \(\mu+P(X < 5)+P(X>9)+P(x=7)=\)TS EAMCET 2019 Medium
- \(\int \frac{d x}{9 \cos ^2 2 x+16 \sin ^2 2 x}=\)TS EAMCET 2024 Medium
More PYQs from TS EAMCET
- Let be a vector in the plane containing vectors and . If is perpendicular to and its projection on is , thenTS EAMCET 2022 Medium
- Consider the simultaneous linear equations \(\beta x+\alpha y-z=-1\), \(3 x-\beta y+\alpha z=0 \alpha x+\beta y+z=1\). In the usual notation used in Crammer's rule, given that
\(\frac{\Delta_1}{\Delta}=-1, \frac{\Delta_2}{\Delta}=1 \cdot \frac{\Delta_3}{\Delta}=2\), then \((\alpha, \beta)=\)TS EAMCET 2022 Medium - Two blocks of masses \(1 \mathrm{~kg}\) and \(2 \mathrm{~kg}\) are connected by a metal wire going over a smooth pulley. The breaking stress of metal is \(\frac{40}{3 \pi} \times 10^6 \mathrm{Nm}^{-2}\). What should be the minimum radius of wire used if it should not break? \(\left(g=10 \mathrm{~ms}^{-2}\right)\)TS EAMCET 2011 Medium
- TS EAMCET 2021 Easy
- By rotating the coordinate axes in the positive direction about the origin by an angle , if the point is transformed to in new coordinate system, thenTS EAMCET 2018 Medium
- A plot of volume of the gas Versus is shown below. Which of the options is correct for the plot?
TS EAMCET 2021 Easy