Question:medium

The equation of a circle whose Centre is \((2,-1)\) and which passes through the point \((3,6)\) is

Show Hint

If the circle passes through a point, use the distance formula from the centre to that point to find \(r^2\).

Updated On: May 7, 2026

\(x^2+y^2+4x+2y-45=0\)
\(x^2+y^2-2x+2y-50=0\)
\(x^2+y^2+2x+2y-50=0\)
\(x^2+y^2-4x+2y-45=0\)

Show Solution

The Correct Option is D

Solution and Explanation

Was this answer helpful?

0

Top Questions on circle

The locus of the point of intersection of the lines \(x = a(1 - t^2)/(1 + t^2)\) and \(y = 2at/(1 + t^2)\) (t being a parameter) represents:
- BITSAT - 2024
- Mathematics
- circle
View Solution
If the straight line $2x + 3y - 1 = 0$, $x + 2y - 1 = 0$ and $ax + by - 1 = 0$ form a triangle with origin as orthocentre, then $(a,b)$ is equal to:
- BITSAT - 2024
- Mathematics
- circle
View Solution
The distance from the origin to the image of $(1,1)$ with respect to the line $x + y + 5 = 0$ is:
- BITSAT - 2024
- Mathematics
- circle
View Solution
A(3,2,0), B(5,3,2), C(-9,6,-3) are three points forming a triangle. AD, the bisector of angle $BAC$ meets BC in D. Find the coordinates of D:
- BITSAT - 2024
- Mathematics
- circle
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

Questions Asked in AP ECET Ceramic Tech exam

If \[ \frac{2x+5}{(x-1)(x+3)} = \frac{A}{x-1} + \frac{B}{x+3}, \] then \[ A+B = \; ? \]

AP ECET Ceramic Tech - 2025
Calculus

If \[ \frac{3x-1}{(x-1)(x-2)(x-3)} = \frac{A}{x-1} + \frac{B}{x-2} + \frac{C}{x-3}, \] then the values of \((A,B,C)\) are

AP ECET Ceramic Tech - 2025
Calculus

If \(\sin\theta=\frac{3}{5}\), then \(\cos\theta=\)

AP ECET Ceramic Tech - 2025
Trigonometry

If \(\cos\theta\cosec\theta=-1\) and \(\theta\) lies in the second quadrant, then \(\cos\theta=\)

AP ECET Ceramic Tech - 2025
Trigonometry