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The equation 4x^(2)-24xy+11y^(2)=0 repre...

The equation `4x^(2)-24xy+11y^(2)=0` represents

A

two parallel lines

B

two perpendicular lines

C

two lines through the origin

D

a circle

Text Solution

Verified by Experts

The correct Answer is:
C
Here , `a=4,b=11 and h=-12`
Now, `h^2-ab=(-12)^2-4xx11=100`
`therefore` The two lines represented by given equation will be real and distinct which represent a pair of straight lines passing through the origin.
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