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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

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

पर्याय

  • 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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Circle - Miscellaneous Exercise 6 [पृष्ठ १३६]

APPEARS IN

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

संबंधित प्रश्‍न

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


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


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:

x2 + y2 = 25


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 at (–2, 3) touching the X-axis.


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


Find the equation circle if the equations of two diameters are 2x + y = 6 and 3x + 2y = 4. When radius of circle is 9


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 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


Show that the equation 3x2 + 3y2 + 12x + 18y − 11 = 0 represents a circle


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


Choose the correct alternative:

If the lines 2x − 3y = 5 and 3x − 4y = 7 are the diameters of a circle of area 154 sq. units, then find the equation 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 centre and radius of the circle x2 + y2 − x +2y − 3 = 0


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 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


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 ______ 


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 ______ 


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


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


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