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Circle

LEARNING OBJECTIVES

After studying this chapter, the student will be able to understand:

• The standard equation of a circle

• General equation and parametric equation of a circle

• The centre and radius of the general equation of a circle

• The equation of a circle touching the axes

• The equation of a circle where the extremities of a diameter are given

• The intersection of lines ac + by + c = 0 (a2 + b2 ≠ 0) with the circle x2 + y2 = r2

• The position of a point with respect to the circle

• The equation of a tangent to the circle at a given point

• The condition in the tangent of lines to the circle and co-ordinates of contact

• The length of the tangent drawn to the circle from the point outside the circle

• Relation between two circles

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