Please select a subject first
Advertisements
Advertisements
Find the third proportional to a2 – b2 and a + b.
Concept: undefined >> undefined
Find the mean proportional to (x – y) and (x3 – x2y).
Concept: undefined >> undefined
Advertisements
Find two numbers such that the mean proportional between them is 14 and third proportional to them is 112.
Concept: undefined >> undefined
If x and y be unequal and x : y is the duplicate ratio of x + z and y + z, prove that z is mean proportional between x and y.
Concept: undefined >> undefined
If q is the mean proportional between p and r prove that `(p^3 + q^3 + r^3)/(p^2q^2r^2) = 1/p^3 + 1/q^3 = 1/r^3`
Concept: undefined >> undefined
If a, b and c are in continued proportion, prove that: a: c = (a2 + b2) : (b2 + c2)
Concept: undefined >> undefined
If `(4m + 3n)/(4m - 3n) = 7/4`, use properties of proportion to find m : n
Concept: undefined >> undefined
If `(4m + 3n)/(4m - 3n) = 7/4`, use properties of proportion to find `(2m^2 - 11n^2)/(2m^2 + 11n^2)`
Concept: undefined >> undefined
If x, y, z are in continued proportion prove that `(x + y)^2/(y + z)^2 = x/z`
Concept: undefined >> undefined
Find the mean proportional of the following:
17.5, 0.007
Concept: undefined >> undefined
What least number must be added to each of the numbers 16, 7, 79 and 43 so that the resulting
numbers are in proportion?
Concept: undefined >> undefined
What number must be added to each of the number 16, 26 and 40 so that the resulting numbers may be in continued proportion?
Concept: undefined >> undefined
Given, `x/(b - c ) = y/(c - a ) = z/(a - b)` , Prove that
ax+ by + cz = 0
Concept: undefined >> undefined
Draw a cumulative frequency curve (ogive) for the following distributions:
| Class Interval | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 | 30 – 35 | 35 – 40 |
| Frequency | 10 | 15 | 17 | 12 | 10 | 8 |
Concept: undefined >> undefined
Draw a cumulative frequency curve (ogive) for the following distributions:
| Class Interval | 10 – 19 | 20 – 29 | 30 – 39 | 40 – 49 | 50 – 59 |
| Frequency | 23 | 16 | 15 | 20 | 12 |
Concept: undefined >> undefined
Draw an ogive for the following distributions:
| Marks obtained | less than 10 | less than 20 | less than 30 | less than 40 | less than 50 |
| No. of students | 8 | 25 | 38 | 50 | 67 |
Concept: undefined >> undefined
Draw an ogive for the following distributions:
| Age in years (less than) | 10 | 20 | 30 | 40 | 50 | 60 | 70 |
| Cumulative frequency | 0 | 17 | 32 | 37 | 53 | 58 | 65 |
Concept: undefined >> undefined
Construct a frequency distribution table for the following distributions:
| Marks (less than) | 0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
| Cumulative frequency | 0 | 7 | 28 | 54 | 71 | 84 | 105 | 147 | 180 | 196 | 200 |
Concept: undefined >> undefined
Construct a frequency distribution table for the following distributions:
| Marks (more than) | 0 | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
| Cumulative frequency | 100 | 87 | 65 | 55 | 42 | 36 | 31 | 21 | 18 | 7 | 0 |
Concept: undefined >> undefined
Insert one arithmetic mean between 3 and 13.
Concept: undefined >> undefined
