Home
Class 11
MATHS
Find the equation of a circle with centr...

Find the equation of a circle with centre (2, 2) and passes through the point (4, 5).

Text Solution

AI Generated Solution

To find the equation of a circle with a given center and a point it passes through, we can follow these steps: ### Step 1: Identify the center and the point The center of the circle is given as \( (h, k) = (2, 2) \) and it passes through the point \( (4, 5) \). ### Step 2: Use the standard equation of a circle The standard equation of a circle with center \( (h, k) \) and radius \( r \) is given by: \[ ...
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11.2|12 Videos

  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11.3|20 Videos

  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11G|10 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|20 Videos

  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|6 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the circle with centre (2,3) and passing through the point (2,-1).

The equation of circle having centre at (2,2) and passes through the point (4,5) is

Find the equation of the circle whose centre is (1,2) and which passes through the point (4,6).

Find the equation of the circle whose centre is (1,2) and which passes through the point (4,6).

Find the equation of the circle whose centre is (h, k) and which passes through the point (p, q) .

Find the equation of the circle whose centre is (2, -3) and which pass through the point of intersection of 3x+2y=11 and 2x+3y=4 .

Find thte area of a circle, whose centre is (5, -3) and which passes through the point (-7, 2).

Obtain the equation of the circle, centre (1, 0), which passes through the point P(3, 1 (1)/(2) ). Find also the equation of the equal circle which touches the given circle externally at P.

(i) Fid the equation of the circle passing through the origin and having the centre at (-4,-3). (ii) Find the equation of the circle passing through (-2,3) and having centre at (0,0). (iii) Find the equztion of the circle passsing through (3,4) and having the centre at (-3,4). br> (iv) Find the equation of the circle whose centre is (-1,2) and whcih passes through (5,6).

Circle with centre (-1,2) and passing through origin is