HSC Arts (English Medium) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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

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

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

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:

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

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