Question Text
Question 1 :
In a circle with centre O, $OD\bot$chord AB. If BC is the diameter, then
Question 2 :
What are the coordinates of the center of this circle?<br>$\displaystyle x^{2}+\left ( y+7 \right )^{2}=11$<br>
Question 3 :
The length of the common chord of the circle $x^{2} + y^{2} + 4x + 6y + 4 = 0$ and $x^{2} + y^{2} + 6x 4y + 4 = 0$ is-
Question 4 :
If the line $3x-4y-8=0$ divides the circumference of the circle with centre $(2,-3)$ in the ratio $1:2$. Then, the radius of the circle is
Question 5 :
Write True or False and justify your answer in each of the following :<br/>If a number of circles touch a given line segment PQ at a point A,  then their  centres lie on the perpendicular bisector of PQ.<br/>
Question 6 :
If a chord of a circle $x^{2}+y^{2}=32$ makes equal intercepts of length $l$ on the co-ordinate axes, then
Question 7 :
If PQ is a chord of a circle whose centre is 0 and PR is the tangent to the circle at the point P, then $\angle POQ$ is equal to
Question 8 :
the length of a chord of a circle $x^2+y^2 =9$ intercepted by the line $x+2y=3$ is
Question 9 :
A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of length 3, 4 and 5 units. Then area of the triangle is equal to