Column I|Column II If the circle lies in the first quadrant, then,|p. `g<0` If the circle lies above the x-axis, then|q. `g>0` If the circle lies on the left of the y-axis, then|r. `g^2-c<0` If the circle touches the positive x-axis and does not intersect the y-axis, then|s. `c >0`

Area lying in the first quadrant and bounded by the circle x^2+y^2=4 and the lines x= 0 and x= 2 is:

Lines 5x + 12y - 10 = 0 and 5x - 12y - 40 = 0 touch a circle C1 of diameter 6. If the center of C1, lies in the first quadrant then the equation of the circle C2, which is concentric with C1, and cuts intercept of length 8 on these lines

The distance of the y - axis from from the center of the circle which lies in the first quadrant (see figure) and tangent to the lines y=(1)/(2)x,y =4 and the x-axis is

If z = x + iy lies in the third quadrant, then prove that (barz)/(z) also lies in the third quadrant when y lt x lt 0

The equation of the circle of radius 3 that lies in 4th quadrant and touching the lines x=0, y=0 is

Find the equation of the circle which lies in the first quadrant and touching each-co ordinate-axis at a distance of 2 units from the origin.

If z lies on the circle I z l = 1, then 2/z lies on

Area of the region in the first quadrant exclosed by the X-axis, the line y=x and the circle x^(2)+y^(2)=32 is

Draw a circle with centre O and radius 6\ c m . Mark points P ,\ Q ,\ R such that P lies on the circle, Q lies in the interior of the circle , and R lies in the exterior of the circle. Rewrite each of the following statements using the correct symbol (=,\ >): (i) O Q 5\ c m (ii) O P .5 c m (iii) O R .5\ c m

If the line 2x-y+1=0 touches the circle at the point (2,5) and the centre of the circle lies in the line x+y-9=0. Find the equation of the circle.