Segment of the lines and are diameters of a circle of area (rounded to two decimal) square units. Then, the equation of this circle with integer radius is

Explanation: Step 1: Find the center of the circle The center of the circle is the point of intersection of its diameters. Solve the system of linear equations: Adding the two equations: Substitute into the first equation: The center of the circle is . Step 2: Find the radius of the circle The area of the circle is square units. Area units. Step 3: Determine the equation of the circle The standard form of a circle's equation is : Correct Option: (c)

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NIMCET 2026 — Mathematics PYQ

NIMCET | Mathematics | 2026

Segment of the lines $2 x + 3 y = 1$ and $4 x - 3 y = 11$ are diameters of a circle of area $153.94$ (rounded to two decimal) square units. Then, the equation of this circle with integer radius is

Choose the correct answer: