WBJEE · Maths · Circle
Chords AB & CD of a circle intersect at right angle at the point P. If the length of AP, PB, CP, PD are 2, 6, 3, 4 units respectively, then the radius of the circle is
- A 4 units
- B \(\frac{\sqrt{65}}{2}\) units
- C \(\frac{\sqrt{67}}{2}\) units
- D \(\frac{\sqrt{66}}{2}\) units
Answer & Solution
Correct Answer
(B) \(\frac{\sqrt{65}}{2}\) units
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & O(x, y)=\text { centre } \\ & \Rightarrow O C=O A=O B=O D \\ & \Rightarrow r=\frac{\sqrt{65}}{2}\end{aligned}\)
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 area of the region bounded by the curves \(y=x^{2}\) and \(x=y^{2}\) isWBJEE 2014 Medium
- \(\mathrm{A}=\{1,2,3,4\}, \mathrm{B}=\{1,2,3,4,5,6\}\) are two sets, and function \(\mathrm{f}: \mathrm{A} \rightarrow \mathrm{B}\) is defined by \(\mathrm{f}(\mathrm{x})=\mathrm{x}+2 \forall \mathrm{x} \in \mathrm{A}\), then the function \(\mathrm{f}\) isWBJEE 2010 Easy
- The number of complex numbers \(\mathrm{p}\) such that \(|\mathrm{p}|=1\) and imaginary part of \(\mathrm{p}^{4}\) is 0, isWBJEE 2020 Medium
- The number of reflexive relations on a set \(A\) of \(n\) elements is equal toWBJEE 2025 Easy
- Let \(p(\mathrm{x})\) be a real polynomial of least degree which has a local maximum at \(\mathrm{x}=1\) and a local minimum at \(\mathrm{x}=3\). If \(\mathrm{p}(1)\) \(=6\) and \(p(3)=2\), then \(p^{\prime}(0)\) is equal toWBJEE 2025 Medium
- For what value of ' \(a\) ', the sum of the squares of the roots of the equation \(x^2-(a-2) x-a+1=0\) will have the least value?WBJEE 2025 Medium
More PYQs from WBJEE
- The equation of the latus rectum of a parabola is \(x+y=8\) and the equation of the tangent at the vertex is \(x+y=12\). Then the length of the latus rectum isWBJEE 2020 Easy
- The first electron affinity of \(\mathrm{C}, \mathrm{N}\) and \(\mathrm{O}\) will be of the orderWBJEE 2019 Easy
- Which one of the following formulae does not represent an organic compound?WBJEE 2009 Medium
- Let \(f\) and \(g\) be periodic functions with the periods \(T_{1}\) and \(T_{2}\) respectively. Then \(f+g\) isWBJEE 2021 Easy
- Let \(v_{n}\) and \(E_{n}\) be the respective speed and energy of an electron in the \(n\) th orbit of radius \(r_{n}\), in a hydrogen atom, as predicted by Bohr's model. Then.WBJEE 2017 Medium
- There is a group of 265 persons who like either singing or dancing or painting. In this group 200 like singing, 110 like dancing and 55 like painting. If 60 persons like both singing and dancing, 30 like both singing and painting and 10 hike all three activities, then the number of persons who like only dancing and painting isWBJEE 2014 Medium