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Find the angles between the pairs of str...

Find the angles between the pairs of straight lines: `x+sqrt(3)y-5=0\ a n d\ sqrt(3)x+y-7=0`

Text Solution

Verified by Experts

Given pairs of straight lines are
`x−ysqrt(3)=5 and 3x+y=7`
Slopes are `m1​=1/sqrt(3)`​ are `m2​=−sqrt(3) `​
Then
, ...
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Knowledge Check

  • The angle between the pair of straight lines x^(2)+4y^(2)-7xy=0 is

    A
    `tan^(1)(1/3)`
    B
    `tan^(-1)(3)`
    C
    `tan^(-1)((sqrt(33))/5)`
    D
    `tan^(-1)((sqrt(33))/10)`

  • The angle between the pair of straight line 1 x^(2)+4y^(2)-7xy=0 is

    A
    `tan^(-1)(1//3)`
    B
    `tan^(-1)(1//2)`
    C
    `tan^(-1)(sqrt(3))//5)`
    D
    `tan^(-1)(5//sqrt(3))`

  • The angle between the straight lines x -y sqrt(3) = 5 and sqrt(3) x + y =7 is

    A
    `90^@`
    B
    `60^@`
    C
    `75^@`
    D
    `30^@`

    • Similar Questions

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    Find the angles between each of the following pairs of straight line: 3x-y+5=0\ a n d\ x-3y+1=0

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    What is the acute angle between the pair of straight line sqrt2x + sqrt3y = 1 and sqrt3x + sqrt2y = 2 ?

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