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Choose the correct alternative: Equation of a circle which passes through (3, 6) and touches the axes is - Mathematics and Statistics

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प्रश्न

Choose the correct alternative:

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

विकल्प

  • x2 + y2 + 6x + 6y + 3 = 0

  • x2 + y2 − 6x − 6y − 9 = 0

  • x2 + y2 − 6x − 6y + 9 = 0

  • x2 + y2 − 6x + 6y − 3 = 0

MCQ

उत्तर

Equation of a circle which passes through (3, 6) and touches the axes is x2 + y2 − 6x − 6y + 9 = 0

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Different Forms of Equation of a Circle
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Circle - Miscellaneous Exercise 6 [पृष्ठ १३६]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board
अध्याय 6 Circle
Miscellaneous Exercise 6 | Q I. (1) | पृष्ठ १३६

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 equation of the circle with centre at (−3, −3) passing through the point (−3, −6)


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 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.


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 circle (a) passing through the origin and having intercepts 4 and −5 on the co-ordinate axes


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


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


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


Choose the correct alternative:

The equation of a circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length 3a is


Answer the following :

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


The line 2x − y + 6 = 0 meets the circle x2 + y2 + 10x + 9 = 0 at A and B. Find the equation of circle on AB as diameter.


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 :

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

x2 + y2 + 4x – 12y + 4 = 0,

x2 + y2 – 2x – 4y + 4 = 0


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


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 ______.


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