Advertisements
Advertisements
प्रश्न
Do the ratios 15 cm to 2 m and 10 sec to 3 minutes form a proportion?
Advertisements
उत्तर १
15 cm : 2 m :: 10 sec : 3 min
15 cm : 2 × 100 cm :: 10 sec : 30 × 60 sec
15 : 200 :: 10 : 1800
3 : 40 :: 1 : 180
No, they donot form a proportion
उत्तर २
Ratio of 15 cm to 2 m = 15: 2 × 100 (1 m = 100 cm)
= 3: 40
Ratio of 10 sec to 3 min = 10: 3 × 60 (1 min = 60 sec)
=1: 18
Since, 3: 40 ≠ 1: 18, therefore, the given ratios do not form a proportion.
संबंधित प्रश्न
If a, b and c are in continued proportion, prove that `(a^2 + ab + b^2)/(b^2 + bc + c^2) = a/c`
If `1/12` , x and `1/75` are in continued proportion , find x.
Find two numbers whose mean proportional is 18 and the third proportional is 486.
If a, b, c and dare in continued proportion, then prove that
ad (c2 + d2) = c3 (b + d)
35 inland letters cost Rs 87.50. How many such letters can we buy for 315?
If b is the mean proportional between a and c, prove that (ab + bc) is the mean proportional between (a² + b²) and (b² + c²).
Find two numbers whose mean proportional is 16 and the third proportional is 128.
If q is the mean proportional between p and r, prove that: p3 – 3q2 + r2 = `q^4(1/p^2 - 3/q^2 + 1/r^2)`
Are the following statements true?
40 persons : 200 persons = ₹ 15 : ₹ 75
A picture frame’s length and width are in the ratio 4 : 3. If the length is 28 cm, what is the width?
