English

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 - Mathematics and Statistics

Advertisements
Advertisements

Question

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

Options

  • x2 + y2 − 4x − 10y + 25 = 0

  • x2 + y2 − 4x − 10y − 25 = 0

  • x2 + y2 − 4x + 10y − 25 = 0

  • x2 + y2 + 4x − 10y + 25 = 0

MCQ

Solution

x2 + y2 − 4x − 10y + 25 = 0

shaalaa.com
Different Forms of Equation of a Circle
  Is there an error in this question or solution?
Chapter 6: Circle - Miscellaneous Exercise 6 [Page 136]

APPEARS IN

RELATED QUESTIONS

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


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 centre and radius of the circle:

`(x - 1/2)^2 + (y + 1/3)^2 = 1/36`


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


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


Find the equation of a circle with radius 4 units and touching both the co-ordinate axes having centre in third quadrant.


Find the equation of a circle passing through the points (1,−4), (5,2) and having its centre on the line x − 2y + 9 = 0


Find the centre and radius of the following:

x2 + y2 − 2x + 4y − 4 = 0


Find the centre and radius of the following:

x2 + y2 − 6x − 8y − 24 = 0


Find the centre and radius of the following:

4x2 + 4y2 − 24x − 8y − 24 = 0


Show that the points (3, −2), (1, 0), (−1, −2) and (1, −4) are concyclic


Choose the correct alternative:

Equation of a circle which passes through (3, 6) and touches the axes is


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:

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 centre and radius of the circle x2 + y2 − x +2y − 3 = 0


Answer the following :

Find the centre and radius of the circle x = 3 – 4 sinθ, y = 2 – 4cosθ


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 :

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


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 :

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


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 centre of the circle x = 3 + 5 cos θ, y = - 4 + 5 sin θ, is ______ 


If the radius of a circle increases from 3 cm to 3.2 cm, then the increase in the area of the circle is ______ 


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 ______.


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×