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The distance between the two lines repre...

The distance between the two lines represented by the sides of an equilateral triangle a right-angled triangle an isosceles triangle none of these

A

8/5 units

B

6/5 units

C

11/5 units

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`9x^2-24xy+16y^2-12x+16y-12=0`
`rArr (3x-4y+2)(3x-4y-6)=0`
`rArr 3x-4y+2=0 and 3x-4y-6=0`
Thus , it is a parallel lines.
Hence , distance between lines is `(|-(-2)|)/(5)=(8)/(5)` units .
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