The indpolnts of the sides of the quadrilateral ABCD are P, R,S respectively. When they are joined a. rectingle is obtained :
o) Which the lines parallel to BD?
b) What is the angle between the diagonals of quadrilateral ABCD? Why?
c) What types of quadrilaterals make a rectangle when the midpoints of Its sldes are joined?

Consider the following quadrilateral ABCD in which P,Q,R,S are the mid points of the sides. Show that PQRS is a parallelogram.

In the figure, the line CE is parallel to BD. Area of triangle A B D is 30 sq.cm. and that of triangle BDC is 29 sq . cm. a) What is the area of quadrilateral ABCD? b) What is the area of triangle BED? c) What is the area of quadrilateral ABED?

Consider the following quadrilateral ABCD in which P,Q,R,S are the mid points of the sides. Find vec(PQ) and vec(SR) in terms of vec(AC) .

In the figure ABCD is a rectangle. AB= 6 cm, BC=4 cm . P is the midpoint of CD. a) What is the area of triangle APB? b) What is the area of triangle PAD? c) If AQ: Q B=1: 2, then what is the area of the quadrilateral AQPD?

Consider the following quadrilateral ABCD in which P,Q,R,S are the mid points of the sides. If veca is any vector, prove that veca=(veca*i)i+(veca*j)j+(veca*k)k .

A 100 turn closely wound circular cell of radius 10 cm carries a current of 3.2A (a) what is the field at the centre of the coil? (b) What is the magnetic moment of this coil? The coil is placed in a vertical plane and is free to rotate about a horizontal axis which coincides with its diameter. A uniform magnetic field 2 T in the horizontal direction exists such that initially the axis of the coil is in the direction of the field. The coil rotates through an angle of 90^(o) under the influence of the magnetic field (c) What are the magnitudes of the torques on the coil in the initial and final position? (d) What is the angular speed acquired by the coil when it has rotated by 90^(o) ? The moment of inertia of the coil is 0.1 kg m^(2) .

ABCD is a quadrilateral in which P,Q, R and S are midpoints of the sides AB , BC, CD and DA .AC is a diagonal. Śhow that i) SR is parallel to AC, and SR= 1/2 AC. ii) P Q=SR iii) PQRS is a parallelogram.

An object is projected with velocity U at an angle theta to the horizintal a)Obtain a mathematical expression for the range in the horizontal plane. b)What are the conditions to obtain maximum horizontal range? c)Find the maximum height of the object when its path makes an angle of 30° with the horizontal (velocity of projection = 8ms^(-1) )

The relative velocity of a body A with respect to a body B is the time rate at which body A changes its position with respect to body B . a)If V_A and V_B are the velocities of A and B moving in opposite directions,what is the relative velocity of A with respect to B ? b)Two trains along the same straight rails are moving with constant velocity of 60km/h and 30km/h towards each other.If at time t=0 ,the distance between them is 90km ,find the time when they collide. c)The velocity time graph of two bodies A and B make angles of 30° and 60° with the time axis,what is the ratio of their acceleration?