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A positive acute angle is divided into t...

A positive acute angle is divided into two parts whose tangents are `1/2 and 1/3.` Then the angle is

A

`pi/4`

B

`pi/5`

C

`pi/3`

D

`pi/6`

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The correct Answer is:
A
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Knowledge Check

  • A positive acute angle is divided into two parts whose tangents are (1)/(8)and(7)/(9) . What is the value of this angle ?

    A
    `(pi)/(3)`
    B
    `(pi)/(4)`
    C
    `(pi)/(6)`
    D
    `(pi)/(12)`

  • A non right angle bisector of a right angled isosceles triangle divide the triangle in those two parts, whose area are in the ratio.

    A
    `1:1`
    B
    `1:sqrt(2)`
    C
    `1:2`
    D
    `1:sqrt(2)+1`

  • The acute angle between the lines whose direction ratios are 1, 2, 2 and -3, 6, -2 is

    A
    `cos^(-1)((13)/(21))`
    B
    `cos^(-1)((5)/(21))`
    C
    `cos^(-1)((11)/(21))`
    D
    `cos^(-1)((5)/(9))`

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    If an angle theta is divided into two parts A and B such that A-B=x and tan A:tan B=k:1, then the value of sink is

    The base of a triangle is divided into three equal parts.If t_(1),t_(2),t_(3) are the tangents of the angles subtended by these parts at the opposite vertex,prove that ((1)/(t_(1))+(1)/(t_(2)))((1)/(t_(2))+(1)/(t_(3)))=4(1+(1)/(t_(2)^(2)))

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