EXERCISE 5.1

EXERCISE . . Obtain the equation of the circles with radius 5cm and touching x- axis at the origin in general form. . Find the equation of the circle with centre ( , and passing through the point ( , ) in standard form. . Find the equation of circles that touch both the axes and pass through ( in general form. . Find the equation of the circle with centre ( , ) and passing through the intersection of the lines −= and . Obtain the equation of the circle for which ( , ) and ( , are the ends of a diameter. . Find the equation of the circle through the points ( , ), ( , ) , and ( , ) . . A circle of area p square units has two of its diameters along the lines x = and x = . Find the equation of the circle. . If y is a tangent to the circle x , find the value of c . . Find the equation of the tangent and normal to the circle x at ( , ) . . Determine whether the points( , ),( , ) - and ( lie outside, on or inside the circle . Find centre and radius of the following circles. (i) x ) = (ii) x (iii) x (iv) . If the equation3 p xy qy px pq represents a circle, find p and q . Also determine the centre and radius of the circle.