ICSE Class X Math 2014 Solved Paper | Question 23

ICSE Class X Math 2014 Solved Paper

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If ‌
x2+y2
x2−y2
=‌
17
8
, then find the value of:

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Question : 23

Total: 52

x:y

Solution:

Given :‌

x2+y2

x2−y2

=‌

17

8

Applying componendo and dividendo
‌‌

(x2+y2)+(x2−y2)

(x2+y2)−(x2−y2)

‌=‌

17+8

17−8

⇒‌‌

2x2

2y2

‌=‌

25

9

⇒‌‌

x2

y2

‌=‌

25

9

⇒‌‌

x

y

‌=‌

5

3

⇒‌x:y‌=5:3.

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