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The angle between the pair of lines whos...

The angle between the pair of lines whose equation is `4x^(2)+10xy+my^(2)+5x+10y=0`, is

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

Verified by Experts

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

  • The angle between the pair of straight lines whose direction cosines are given by the equations 2l-m+2n=0 and mn+nl+lm=0 is -

    A
    `(pi)/(2)`
    B
    `(pi)/(4)`
    C
    `(pi)/(3)`
    D
    `(pi)/(6)`

  • The angle between the straight lines 2x-y+3=0 and x+2y+3=0 is-

    A
    `30^(@)`
    B
    `45^(@)`
    C
    `60^(@)`
    D
    `90^(@)`

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