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Solve for x and y sqrt(2)x-sqrt(3)y=0,sq...

Solve for x and y `sqrt(2)x-sqrt(3)y=0,sqrt5x +sqrt 2y=0`

A

(0,0)

B

(1,2)

C

(0,1)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
The given system of equation is
` sqrt 2 x - sqrt3 y = 0 " " `… (i)
`sqrt5 x + sqrt 2 y = 0 " " ` …(ii)
Multiplying (i) by ` sqrt2 ` and (ii) by `sqrt3 ` and adding, we get
` ( 2 + sqrt(15)) x = 0 rArr x = 0 `
Putting ` x = 0 `in (ii), we get
`sqrt 2 y = 0 rArr y = 0 `
Hence, x = 0 and y =0.
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