A circle is drawn on the chord of a circle x2 + y2 = a2 as diameter. The chord lies on the line x + y = a. What is the equation of the circle ?
The two parabolas y2 = 4ax and x2 = 4ay intersect :
at two points on the line y = x
Only at the origin
At three points one of which lies on y + x = 0
Only at (4a, 4a)
The circle x2 + y2 + 4x - 7y + 12 = 0, cuts an intercepton y-axis equal to :
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In a circle of diameter 44 cm, the length of a chord is 22 cm. What is the length of minor arc of the chord ?
The sum of the focal distance of a point on an ellipse is constant and equal to the :
Length of minor axis
Length of major axis
Length if latus rectum
Sum of the lengths of semi-major and semi-minor axes
For , f(r) is the ratio of perimeter to area of a circle of radius r. Then f(1) + f(2) = ?
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