Advertisements
Advertisements
प्रश्न
If r2 = pq, show that p : q is the duplicate ratio of (p + r) : (q + r).
Advertisements
उत्तर
Given, r2 = pq
Duplicate ratio of (p + r) : (q + r)
= (p + r)2 : (q + r)2
= (p2 + r2 + 2pr) : (q2 + r2 + 2qr)
= (p2 + pq + 2pr) : (q2 + pq + 2qr)
= p(p + q + 2r) : q(q + p + 2r)
= p : q
Thus, p : q is the duplicate ratio of (p + r) : (q + r).
संबंधित प्रश्न
If `(y- x)/x = 3/8` , find the value of `y /x`
If a : b = 4 : 7, find the following:
`(6"a" - "b")/("a" + 3"b")`
Find the sub-duplicate ratio of the following :
`(9"a"^2)/5 : (25"a"^2)/3`
If 2a = 3b and 4b = 5c, find: a : c.
Express the following ratios in its simplest form :
`3 1/2 : 7`
Find: The reciprocal ratio of 8: 15.
A bag contains ₹ 1,600 in the form of ₹10 and ₹20 notes. If the ratio between the numbers of ₹10 and ₹20 notes is 2 : 3; find the total number of notes in all.
If a : b = 1.5 : 3.5 and b : c = 5 : 6, find a : c.
An alloy of zinc and copper weighs `12 1/2`kg. if in the alloy, the ratio of zinc and copper is 1 : 4, find the weight of copper in it.
Mother wants to divide Rs 36 between her daughters Shreya and Bhoomika in the ratio of their ages. If age of Shreya is 15 years and age of Bhoomika is 12 years, find how much Shreya and Bhoomika will get.
