### Dictionary Rank of a Word | Permutations & Combinations

PERMUTATIONS & COMBINATIONS Rank of the word or Dictionary order of the English words like COMPUTER, COLLEGE, SUCCESS, SOCCER, RAIN, FATHER, etc. Dictionary Rank of a Word Method of finding the Rank (Dictionary Order) of the word  “R A I N” Given word: R A I N Total letters = 4 Letters in alphabetical order: A, I, N, R No. of words formed starting with A = 3! = 6 No. of words formed starting with I = 3! = 6 No. of words formed starting with N = 3! = 6 After N there is R which is required R ----- Required A ---- Required I ---- Required N ---- Required RAIN ----- 1 word   RANK OF THE WORD “R A I N” A….. = 3! = 6 I……. = 3! = 6 N….. = 3! = 6 R…A…I…N = 1 word 6 6 6 1 TOTAL 19 Rank of “R A I N” is 19 Method of finding the Rank (Dictionary Order) of the word  “F A T H E R” Given word is :  "F A T H E R" In alphabetical order: A, E, F, H, R, T Words beginni

### Math Assignment Class IX Ch-3 | Coordinate Geometry

Mathematics Assignment Class 9th
Chapter 3
Coordinate Geometry

1. What  is Cartesian coordinate system

2. What we call the horizontal line in Cartesian coordinate system.

3. What we call the vertical  line in Cartesian coordinate system.

4. Which point is called the origin and what are its coordinates.

5. What is the point on x – axis.

6. What is the point on y-axis.

7. What do you mean by ordinates.

8. What do you mean by abscissa.

9. Write the coordinates of the points given in the following graph. Also write In which quadrant or on which axis the following points lie.

10. Write the abscissa and ordinate of the following points

(-3, 5),   (0, 9),   (-5, 0),   (3,3),   (7, -9),  (12, 13)

11. Write the coordinates of the point :

a) Whose ordinate is -5 and which lies on y- axis.

b) Which lies on x and y – axes both.

c) Whose abscissa is -3 and which lies on x – axis.

12. Write the coordinates of the points given in the following graph. Also write In which quadrant or on which axis the following points lie.

13.  What is the perpendicular distance of the point (3, 4) from

a)  x – axis        b) Y – axis

14.  What is the perpendicular distance of the point (7, 26) from

a)  x – axis        b) Y – axis

15) Name the quadrant in which abscissa and ordinate have different sign.

16. Plot the points P(1,0), Q(4,0), and S(1, 3). Find the coordinates of point R such that PQRS is a square. Also find the area of the square.    [Ans: 9 square units)

17. Mark the points A(2,2), B(2,-2), C(-2, -2) and (-2, 2) on the graph paper and join these points in order. Identify the figure so obtained. Also find the area of the figure.            [Ans Square, 16cm2]

18. Plot the points P(-1, 0), Q(0,1) and R(2,3) on the graph paper and check whether they are collinear or not.

19.  If the points A(0, -6), B(0, 2 and C (a, 3) lie on the y-axis, then find the value of a.

20. From the given graph write :

a) The coordinates of the points B and F

b) The abscissas of points D and H

c) The ordinates of the points A and C

d) The perpendicular distance of the point G from x-axis

THANKS FOR YOUR VISIT

1. It is very helpful for students.