HSC Science (General) 11th Standard - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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

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

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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

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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

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

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

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

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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

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

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

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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