Question

2 + x
x² + y² - y
-x² - y²
:
Vx?
- y2
V x² + y² + y
X-
+​

Answer 1

Given that 15(2x

2

−y

2

)=7xy

⇒30x

2

−15y

2

−7xy=0

Now divide the above equation by y

2

on both sides

⇒30(

y

x

)

2

−7(

y

x

)−15=0

Let

y

x

=t, so we get quadratic equation in t

⇒30t

2

−7t−15=0

The roots of above equation are t=

60

7±

49+1800

⇒t=

60

7±43

=

6

5

,−

5

3

Therefore ratio of x:y is 5:6 or −3:5

Simplify :

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Answer 2

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