हिंदी

Find the equation of the circle with centre at origin and radius 4. - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Find the equation of the circle with centre at origin and radius 4.

योग
Advertisements

उत्तर

Equation of the circle with centre at origin and radius r is given by

x2 + y2 = r2

Here, r = 4

∴ equation of the required circle is x2 + y2 = 16.

shaalaa.com
Different Forms of Equation of a Circle
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Circle - Exercise 6.1 [पृष्ठ १२९]

APPEARS IN

संबंधित प्रश्न

Find the equation of the circle with centre at (−3, −2) and radius 6.


Find the equation of the circle with centre at (2, −3) and radius 5.


Find the centre and radius of the circle:

(x − 5)2 + (y − 3)2 = 20


Find the equation of the circle with centre at (a, b) touching the Y-axis


Find the equation of the circle with centre on the X-axis and passing through the origin having radius 4.


Find the equation of the circle with centre at (3,1) and touching the line 8x − 15y + 25 = 0


If y = 2x is a chord of circle x2 + y2−10x = 0, find the equation of circle with this chord as diametre


Find the centre and radius of the following:

x2 + y2 − 2x + 4y − 4 = 0


Find the equation of the circle passing through the points (5, 7), (6, 6) and (2, −2)


Choose the correct alternative:

Find the equation of the circle which passes through the points (2, 3) and (4, 5) and the centre lies on the straight line y − 4x + 3 = 0


Choose the correct alternative:

If the lines 3x − 4y + 4 = 0 and 6x − 8y − 7 = 0 are tangents to a circle, then find the radius of the circle


Choose the correct alternative:

Area of the circle centre at (1, 2) and passing through (4, 6) is


Choose the correct alternative:

If a circle passes through the point (0, 0), (a, 0) and (0, b) then find the co-ordinates of its centre


Answer the following :

Find the equation of circle passing through the point of intersection of the lines x + 3y = 0 and 2x − 7y = 0 whose centre is the point of intersection of lines x + y + 1 = 0 and x − 2y + 4 = 0


Answer the following :

Find the equation of circle which passes through the origin and cuts of chords of length 4 and 6 on the positive side of x-axis and y-axis respectively


Answer the following :

Show that the points (9, 1), (7, 9), (−2, 12) and (6, 10) are concyclic


Answer the following :

Find the equation of the circle concentric with x2 + y2 – 4x + 6y = 1 and having radius 4 units


Answer the following :

Show that the circles touch each other externally. Find their point of contact and the equation of their common tangent:

x2 + y2 – 4x + 10y +20 = 0,

x2 + y2 + 8x – 6y – 24 = 0.


Answer the following :

Show that the circles touch each other externally. Find their point of contact and the equation of their common tangent:

x2 + y2 – 4x – 10y + 19 = 0,

x2 + y2 + 2x + 8y – 23 = 0.


Answer the following :

Show that the circles touch each other internally. Find their point of contact and the equation of their common tangent:

x2 + y2 – 4x – 4y – 28 = 0,

x2 + y2 – 4x – 12 = 0


Answer the following :

Find the length of the tangent segment drawn from the point (5, 3) to the circle x2 + y2 + 10x – 6y – 17 = 0


If 2x - 4y = 9 and 6x - 12y + 7 = 0 are the tangents of same circle, then its radius will be ______ 


If one of the diameters of the curve x2 + y2 - 4x - 6y + 9 = 0 is a chord of a circle with centre (1, 1), then the radius of this circle is ______ 


The radius of a circle is increasing uniformly at the rate of 2.5cm/sec. The rate of increase in the area when the radius is 12cm, will be ______ 


If x2 + (2h - 1)xy + y2 - 24x - 8y + k = 0 is the equation of the circle and 12 is the radius of the circle, then ______.


The equation of the circle with centre (4, 5) which passes through (7, 3) is ______.


The equation of circle whose diameter is the line joining the points (–5, 3) and (13, –3) is ______.


Circle x2 + y2 – 4x = 0 touches ______.


The equation of a circle with centre at (1, 0) and circumference 10π units is ______.


Let AB be a chord of the circle x2 + y2 = r2 subtending a right angle at the centre, then the locus of the centroid of the ΔPAB as P moves on the circle is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×