Advertisements
Advertisements
प्रश्न
If `a/(b + c) = b/(c + a) = c/(a + b)`, show that each ratio is equal to `(1)/(2) or -1`.
उत्तर
Now`a/(b + c) = b/(c + a) = c/(a + b)`
= `(a + b + c)/(2(a + b + c)) = (1)/(2)` if a + b + c ≠ 0.
But if a + b + c = 0, ...(Applying prop. law)
Then `a/(b + c) = a/(-a) = -1`
and `b/(c + a) = b/(-b) = -1`
Also, `c/(a + b) = c/(-c) = -1`.
Hence each of the given ratio is either `(1)/(2) or -1`.
APPEARS IN
संबंधित प्रश्न
Convert the following percentage to fractions and ratio:
125%
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.
Divide 81 into three parts in the ratio 2 : 3 : 4.
The ratio of the length and the width of a school ground is 5 : 2. Find the length, if the width is 40 metres.
Make set of all possible proportions from the numbers 15, 18, 35 and 42.
If 25, 35 and x are in continued proportion, find the value of x.
Out of 50 students in a class, 30 are boys. Find the ratio of number of boys to the number of girls
Ramesh earns Rs. 28000 per month. His wife Rama earns Rs. 36000 per month. Find the ratio of rama’s earnings to their total earnings.
In the following figure, division represents 1 cm:
Express numerically the ratios of the following distances:
BF : AI
Out of 30 students in a class, 6 like football, 12 like cricket and remaining like tennis. Find the ratio of number of students liking football to number of students liking tennis.
