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The angle between the pair of lines w...

The angle between the pair of lines whose equation is `4x^2+10 x y+m y^2+5x+10 y=0` is `tan^(-1)(3/8)` `tan^(-1)(3/4)` `tan^(-1){2(sqrt(25-4m))/(m+4)},m in R` none of these

A

`tan^(-1)(3//8)`

B

`tan^(-1)(3//4)`

C

`tan^(-1){2sqrt(25-4m//)(m+4)},m in R`

D

None of these

Text Solution

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The correct Answer is:
2
Being a pair of lines , `abc+2fgh-af^(2)-ch^(2)=0`. This given m=4 . Now , find the angle between the lines.
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Knowledge Check

  • tan^(-1)x +tan^(-1)y = (3pi)/4 Then cot^(-1) x + cot^(-1) y is :

    A
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