p q r and's are points on the number line shown. identify the point that represents 112 on the number line.

Geometrical representation of a Complex number, Argand diagram - Since every complex number z = x + iy is an order pair of real numbers (x, y), it can therefore be represented by a point P(x,y) in the xy plane by taking the real part along..

>Then, the point P represents on the number line. Using Pythagoras' theorem in rt. OB = , if AO = 2 and AB = 1 Cut off OP = OB = Then the point P represents on the number line. In the same w..

The complex number Z = x + iy may be represented graphically by the point P whose rectangular co-ordinates are (x, y). Thus each point in the plane is associated with a complex number. In the figure, P defines Z = x + iy. It is..

Polar form of a Complex number - Let z = x+iy denote the point P(x,y) in the xy plane. Then from the figure, we have z = r{cos q +isin q } is called the polar form of the complex number. x + iy (which is in the cartesian form) wh..

Summary - A rational number is a number of the form where p and q are integers and . Problems involving rational numbers are simplified using 'BODMAS' rule. A rational number can be represented in the decimal form. When a rationa..

A Venn diagram is a pictorial representation of sets by set of points in the plane. The universal set U is represented pictorially by interior of a rectangle and the other sets are represented by closed figures viz circles or ellipses or small rectangles or some curved..

A rational number is a number of the form where p and q are integers and . Problems involving rational numbers are simplified using 'BODMAS' rule. A rational number can be represented in the decimal form. When a rat..

We draw straight lines for the equation 2x+ y = 100 ...(2) x + y = 80 To determine two points on the straight line 2x + y = 100 Put y = 0, 2x = 100 x = 50 (50, 0) is a point on the line (2) put x = 0 in (2), y =100 (0, 100) is the other ..

Since the two decision variable x and y are non-negative, consider only the first quadrant of xy- plane Draw the line ax + by = c ...(1) For each constraint, the line (1) divides the first quadrant in to two regions say R 1 and R 2 , suppose (x 1 , 0) is..

Limitations of Linear Programming - Linear programming is applicable only to problems where the constraints and objective function are linear i.e., where they can be expressed as equations which represent straight lines. In real life situations, when constraints or objective fun..