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If length of the sides of a triangle ABC...

If length of the sides of a triangle ABC are 4 cm, 5 cm and 6 cm, O is point inside the triangle ABC such that `angle OBC = angle OCA = angle OAB = theta`, then value of cot `theta` is .

A

`tan^(2) theta`

B

`cot^(@) theta `

C

`tan theta `

D

`cot theta `

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • Let O be a point inside Delta ABC such that angle OAB = angle OBC = angle OCA = theta Area of Delta ABC is equal to

    A
    `((a^(2)+b^(2)+c^(2))/4) tan theta `
    B
    `((a^(2)+b^(2)+c^(2))/4)cot theta`
    C
    `((a^(2)+b^(2)+c^(2))/2) tan theta `
    D
    `((a^(2)+b^(2)+c^(2))/2) cot theta`

  • Let O be a point inside Delta ABC such that angle OAB = angle OBC = angle OCA = theta cosec^(2) A + cosec^(2)B + cosec^(2)C is equal to

    A
    `cot^(2) theta`
    B
    `cosec^(2)theta `
    C
    `tan^(2) theta`
    D
    `sec^(2) theta `

  • If the sides of a triangle are 4 cm, 5 cm, 6 cm then ratio of the cosine of the least and the greatest angles is

    A
    `6 : 1`
    B
    `2 : 1`
    C
    `3 : 4`
    D
    `5 : 6`

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