Advertisements
Advertisements
प्रश्न
If `(8a - 5b)/(8c - 5d) = (8a + 5b)/(8c + 5d)`, prove that `a/b = c/d.`
सिद्धांत
Advertisements
उत्तर
`(8a - 5b)/(8c - 5d) = (8a + 5b)/(8c + 5d)`
Applying alternendo
⇒ `(8a - 5b)/(8a + 5d) = (8c - 5d)/(8c + 5d)`
Applying Componendo and Dividendo
⇒ `((8a - 5b) + (8a + 5d))/((8a - 5b) - (8a + 5d)) = ((8c - 5d) + (8c + 5d))/((8c - 5d) - (8c + 5d))`
⇒ `(16a)/(-10b) = (16c)/(-10d)`
⇒ `a/b = c/d` ...(Dividing by `16/-10`)
Hence Proved.
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
