Question
If a line intersects two concentric circles (circles with the same centre) with centre at and , prove that (see figure)
Found 6 tutors discussing this question
Discuss this question LIVE
12 mins ago
Text solutionVerified
We know that, and .
They are radius of respective circles.
In , we know that , so
In , we know that , so
Since, and , we get in is equal to in .
From congruency, we can say that and are congruent.
So, .
Was this solution helpful?
150
Share
Report
One destination to cover all your homework and assignment needs
Learn Practice Revision Succeed
Instant 1:1 help, 24x7
60, 000+ Expert tutors
Textbook solutions
Big idea maths, McGraw-Hill Education etc
Essay review
Get expert feedback on your essay
Schedule classes
High dosage tutoring from Dedicated 3 experts
Practice questions from similar books
Question 1
AP, AQ and BC are tangents to the circle. If AB = 5 cm, AC = 6 cm and BC = 4 cm, then the length of AP (in cm) isQuestion 2
The normal at a point on the ellipse meets the x-axis at If is the midpoint of the line segment then the locus of intersects the latus rectums of the given ellipse at points. (a) (b) (c) (d) Stuck on the question or explanation?
Connect with our math tutors online and get step by step solution of this question.
231 students are taking LIVE classes
Question Text | If a line intersects two concentric circles (circles with the same centre) with centre at and , prove that (see figure) |
Answer Type | Text solution:1 |
Upvotes | 150 |