A chord of a circle of radius 14 cm subtends an angle of 120° at the centre. Find the area of corresponding minor segment of the circle. [Use π = 22/7 and = 1.73]

In Figure 5, a triangle PQR is drawn to circumscribe a circle of Radius 6 cm such that the segments QT and TR into which QR is divided by the point of contact T, are of lengths 12 cm and 9 cm respectively. If the area of ∆PQR = 189 cm², then find the lengths of sides PQ and PR.

Draw a pair of tangents to a circle of radius 3 cm, which are inclined to each other at an angle of 60°.

OR

Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are 3/5 times the corresponding sides of the given triangle.

Point P(x, 4) lies on line segment joining the points A(-5, 8) and B(-4, 10). Find the ratio in which point P divides the line segment AB. Also find the value of x.

Find the area of the quadrilateral ABCD, whose vertices are A(-3, -1), B(-2, -4), C(4, -1) and D(3, 4)

OR

Find the area of triangle formed by joining the mid-points of the sides of the triangle whose vertices are A(2, 1), B(4, 3) and C(2, 5).