Home Maths Circle and System of Circles JEE Main 2019 The sum of the squares of the lengths of the…
Maths Circle and System of Circles JEE Main 2019 Single Correct MCQ
Published on: August 14, 2026

The sum of the squares of the lengths of the chords intercepted on the circle, , by the lines, , , where N is the set of all natural numbers, is :

A
320
B
105
C
160
D
210

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
D

JEE Main 2019

Let the chord cuts the circle at P and Q length of perpendicular from O and PQ

Then, length of chord

Thus only possible values of are 1, 2, 3, 4, 5.

Hence, the sum of squares of lengths of chords

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.