Advertisements
Advertisements
प्रश्न
If `a/(b + c) = b/(c + a) = c/(a + b)`, show that each ratio is equal to `(1)/(2) or -1`.
Advertisements
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
If A : B = 2 : 5 and A : C = 3 : 4, find: A : B : C.
If 3x + 4 : x + 5 is the duplicate ratio of 8 : 15, find x.
Check whether the following quantities form a proportion or not?
3x, 7x, 24 and 56
Which of the following numbers are in continued proportion:
15, 45 and 48
If (4x + 3y) : (3x + 5y) = 6 : 7, find x, if y = 10
Find the following ratio in the simplest form:
48 minutes to 1 hour
Find the ratio of:
2 dozens to a score
Akilan walks 10 km in an hour while Selvi walks 6 km in an hour. Find the simplest ratio of the distance covered by Akilan to that of Selvi.
Thirumagal's mother wears a bracelet made of 35 red beads and 30 blue beads. Thirumagal wants to make smaller bracelets using the same two coloured beads in the same ratio. In how many different ways can she make the bracelets?
Ramesh earns Rs. 28000 per month. His wife Rama earns Rs. 36000 per month. Find the ratio of ramesh’s earnings to their total earnings.
