For the following questions answer them individually
In the following circle with center O, if $$\ANGLE AOB = 30^{\circ}$$, then the area of the
shaded region (in sq.cm.) is
If a semi circle is drawn on the side of a square, which has a diagonal of length 12 cm, the area of the semi circle, in $$cm^{2}$$, is
If the triangle with the vertices $$A(2, x), B(2,6), C(2 + \sqrt{3}, 5)$$ is equilateral then value of $$x$$ is
The point which divides the line segment (3, 5), (4, 7) in the ratio 2 : 3 internally is
Let A (-2, -2), B (31, 6) and C (8, 2) be three points. Let the slope of $$AB = m_{1}$$
and the slope of $$AC = m_{2}$$. Then $$m_{1}$$ : m_{2}$$ =
The Y-intercept made by the straight line passing through the point (3, 2) and perpendicular to the line y=x is
The equation of the line passing through the point (1, 2) and perpendicular to the line $$x + y + 1 = 0$$ is
Equation of the line perpendicular to the line $$y = 3x + 17$$ and which makes an intercept of length 6 units on positive Y-axis is
The equation of a line which is parallel to X-axis and cuts the positive side of the Y-axis at 7 units from the origin is