AP EAMCET · Maths · Circle
The perpendicular distance from the point \((1,2)\) to common chord of the circles \(x^2+y^2-2 x+4 y-4=0\) and \(x^2+y^2+4 x-6 y-3=0\) is........ units.
- A \(\frac{13}{\sqrt{123}}\)
- B \(\frac{13}{\sqrt{136}}\)
- C \(\frac{13}{\sqrt{63}}\)
- D \(\frac{13}{\sqrt{132}}\)
Answer & Solution
Correct Answer
(B) \(\frac{13}{\sqrt{136}}\)
Step-by-step Solution
Detailed explanation
Given circle, \(x^2+y^2-2 x+4 y-4=0\) and \(x^2+y^2+4 x-6 y-3=0\) Equation of common chord of circle is \(S_1-S_2=0\) \(\therefore \quad\left(x^2+y^2-2 x+4 y-4\right)\) \(-\left(x^2+y^2+4 x-6 y-3\right)=0\)…
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 tangent of the curve \(y=\sqrt{9-2 x^2}\) at the point where the ordinate and abscissa are equal isAP EAMCET 2022 Easy
- The value of , for which the function , where and , is continuous at , isAP EAMCET 2021 Medium
- If the product of the roots of is , then the value of isAP EAMCET 2021 Easy
- If the transverse and conjugate axes of hyperbola are equal, then its eccentricity isAP EAMCET 2021 Easy
- The points in the set \(\left\{z \in C: \arg \left(\frac{z-2}{z-6 i}\right)=\frac{\pi}{2}\right\}\) (where \(C\) denotes the set of all complex numbers) lie on the curve which is aAP EAMCET 2008 Hard
- If the straight line touches the curve at the point on it and thenAP EAMCET 2022 Hard
More PYQs from AP EAMCET
- \(\lim _{x \rightarrow 0}\left(\frac{\sin a x}{\tan b x}\right)\) is equal toAP EAMCET 2021 Easy
- The differential equation corresponding to the family of parabolas \(y^2=4 a(x+a)\), where \(a\) is the parameter, isAP EAMCET 2018 Easy
- Five identical conducting plates, each of face area \(\mathrm{A}\) are placed parallel to each other with a separation of ' \(d\) ' between two adjacent plates as shown in the figure. The plates \(\mathrm{M}\) and \(\mathrm{N}\) are given charges \(Q_1\) and \(Q_2\) respectively and the remaining plates are neutral. If the outermost plates are grounded, the potential difference between the plates \(\mathrm{M}\) and \(\mathrm{N}\) is ____
AP EAMCET 2017 Hard - The radius of curvature of a convex lens is \(40 \mathrm{~cm}\), for each surface. Its refractive index is 1.5 . Its focal length isAP EAMCET 2023 Easy
- The number of normals drawn to the parabola \(y^2=4 x\) from the point \((1,0)\) isAP EAMCET 2009 Easy
- Let \(f\) be a polynomial function defined on \([2,7]\). If \(f(2)=3\) and \(f^{\prime}(x) \leq 5\) for all \(x\) in \((2,7)\), then the maximum possible value attained by \(f\) at \(x=7\) isAP EAMCET 2019 Medium