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The angle between the lines represented ...

The angle between the lines represented by the equation `2x^2+3xy-5y^2=0`, is

A

`(pi)/(3)`

B

`(pi)/(2)`

C

`tan^(-1)|(12)/(5)|`

D

`tan^(-1)|(7)/(3)|`

Text Solution

Verified by Experts

The correct Answer is:
D
Here, `a=2,h=(3)/(2),b=-5`
`therefore tan theta =|(2sqrt(((3)/(2))^2+10))/(2-5)|=|(sqrt(49))/(-3)|`
`rArr theta = tan ^(-1)|(7)/(3)|`.
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