Draw rough diagrams to illustrate the following: (i) Open curve         (ii) Closed curve

Following are some figures: Classify each of these figures on the basis of the following:(i) Simple curve                (ii)    Simple closed curve (iii) Polygon                         (iv)  Convex polygon (v)Concave polygon          (vi)   Not a curve   Figures

A box contains 3 blue, 2 white, and 4 red marbles. If a marble is drawn at random from the box, what is the probability that it will be(i) white?         (ii) blue?          (iii) red?

What is a regular polygon? State the name of a regular polygon of (i) 3 sides             (ii)  4 sides             (iii)  6 sides

A family has 2 children. Find the probability that both are boys, if it is known that: (i) at least one of the children is a boy,            (ii) the elder child is a boy.

Find the volume in cubic decimetre of each of the cubes whose side is (i)1.5m          (ii)  75cm        (iii)  2dm 5cm

How many diagonals does each of the following have? (i)A convex quadrilateral (ii)A regular hexagon             (iii)   A triangle

The co-ordinates of two fixed points A and B of a triangle ABC are (a,0) and (-a,0) respectively. If variable point C moves such that cot A+ cot B=lamda , (where lamda is a constant) then the locus of point C is:- (1)    y lamda =2a     (2)    y =lamda a     (3)    y a=2lamda     (4)     None of these.

The distance of the point (2,3) from the line x-2y+5=0 measured in a direction parallel to the line x -3y=0 is: (A)   2sqrt(10)     (B)   sqrt(10)     (C)   2sqrt(5)     (D)   None of these

When a die is thrown, list the outcomes of an event of getting (i)       (a) a prime number                 (b) not a prime number. (ii)       (a) a number greater than 5    (b) a number not greater than 5. 6. Find the probabilities of events given in question 2 .