Question 32

Mathematics Circle Hard

The equation of the circle passing through the point (4, 6) and whose diameters are along x + 2y − 5 = 0 and 3x − y − 1 = 0 is

(A) x<sup>2</sup> + y<sup>2</sup> - 2x - 6y - 20 = 0
(B) x<sup>2</sup> + y<sup>2</sup> - 6x - 2y - 20 = 0
(C) x<sup>2</sup> + y<sup>2</sup> - 2x - 4y - 20 = 0
(D) x<sup>2</sup> + y<sup>2</sup> - 4x - 2y - 20 = 0
✓ Correct Answer: Option C Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Correct Option is C. Practice regular variations of this Circle concept to build speed and accuracy.

Practice Similar Circle Questions

Reinforce your conceptual grasp with related questions from NIMCET 2019:

Q1 For two circles x2 + y2 = 16 and x2...
Solve →
Q2 Let f: R → R be defined by \(f( x )...
Solve →
Q4 If Δ = a2 - (b - c)2, where Δ...
Solve →
Q5 Two numbers a and b are chosen ar random from a set of first 30 natural...
Solve →
Q6 A man takes a step forward with probability 0.4 and backward with...
Solve →
Full-Length Test Series

Prepare for NIMCET Under Real Exam Conditions

Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.

Start Free Mock Test Series →