Circles Test - ...

x = a cos t, y = a sin t is the parametric form of a/an

A circle passes through the origin and cuts intercepts a and b on the axes. The equation of the circle is

The area of a circle with centre (h, k) and radius a is

If the centre of a circle is (2, 3) and a tangent to the circle is x + y = 1, then the equation of this circle is

Find the center and the radius of the circle (x + 5)² + (y + 7)² = 36.

The equation of a circle with centre (4, 3) and touching the circle x² + y² = 1, is

A circle is inscribed in an equilateral triangle of side a. The area of any square inscribed in the circle is

Let C be any circle with centre (0, √2). How many rational points are there on C?

The number of tangents to the circle x²+y²−8x−6y+9=0, which pass through the point ( 3, - 2), is

The number of tangents which can be drawn from the point (– 1, 2) to the circle x² + y² + 2x – 4y + 4 = 0 is

Which of the following statements is true for the two circles x² + y² – 4y = 0 and x² + y² – 8y = 0?

If the equation x² + 2gx + 2fy + c = 0 represents a circle with x-axis as a diameter and radius a, then