Advertisements
Advertisements
प्रश्न
If (a2 + b2)(x2 + y2) = (ax + by)2; prove that: `a/x = b/y`.
Advertisements
उत्तर
Given that, (a2 + b2)(x2 + y2) = (ax + by)2
a2x2 + a2y2 + b2x2 + b2y2 = a2x2 + b2y2 + 2abxy
a2y2 + b2x2 – 2abxy = 0
(ay – bx)2 = 0
ay – bx = 0
ay = bx
`a/x = b/y`
APPEARS IN
संबंधित प्रश्न
If p : q = r : s; then show that: mp + nq : q = mr + ns : s.
Find the mean proportional to (x – y) and (x3 – x2y).
If a, b and c are in continued proportion, prove that: a: c = (a2 + b2) : (b2 + c2)
If u, v, w, and x are in continued proportion, then prove that (2u+3x) : (3u+4x) : : (2u3+3v3) : (3u3+4v3)
If a, b, c and dare in continued proportion, then prove that
ad (c2 + d2) = c3 (b + d)
Find the value of x in the following proportions : 3 : x = 24 : 2
Find the fourth proportional to `(1)/(3), (1)/(4), (1)/(5)`
If b : a = c : d, then a, b, c, d are in proportion.
Write True (T) or False (F) against the following statement:
5.2 : 3.9 : : 3 : 4
The table, given below, shows the values of x and y, where x is proportional (directly proportional) to y.
| x | A | 24 | 15 |
| y | 12 | B | 20 |
The values of A and B are:
