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The image of the origin with reference t...

The image of the origin with reference to the line 4x+3y -25=0 is

A

(-8, 6)

B

(8, 6)

C

(-3, 4)

D

(8, -6)

Text Solution

Verified by Experts

The correct Answer is:
B
Let the image or reflection of the origin with reflence to the line
`4x+3y-25=0` is (h, k).
`therefore (h-0)/(4)=(k-0)/(3)`
`=(-2(0+0-25))/(16+9)=2`
`rArr (h)/(4)=2 rArr h=8`
`and (k)/(3)=2 rArr k=6`
Hence, required point is (8, 6).
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