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.

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.

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]

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).

From the top of vertical tower, the angle of depression of two cars, in the same straight line with the base of the tower, at an instant are found to be 45° and 60°. If the cars are 100 m apart and are on the same side of the tower, find the height of the tower. [Use = 1.73]