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The measure of the angle between the lin...

The measure of the angle between the lines
`(sin^(2) theta -1)x^(2) -2xy cos^(2)theta + y^(2) cos^(2)theta = 0` is

A

`pi/2`

B

`pi/6`

C

`pi/4`

D

`pi/3`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • The acute angle between the lines given by (sin^(2)theta-1)x^(2)-(cos^(2)theta)xy+(cos^(2)theta)y^(2)=0 is

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

  • Mesure of angle between the two lines x^(2)(cos^(2)theta-1)-xy sin^(2) theta+y^(2)sin^(2) theta=1 is

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

  • The angle between the pair of striaght lines y^(2)sin^(2)theta-xysin^(2)theta+x^(2)(cos^(2)theta-1)=0 is

    A
    `pi//3`
    B
    `pi//4`
    C
    `2pi//3`
    D
    none of these

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