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In a Delta ABC, the angles A nad B are ...

In a `Delta ABC, ` the angles A nad B are two values of `theta` satisfying `sqrt3 cos theta + sin theta =k,` where `|K| lt 2,` then show triangles is obtuse angled.

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Knowledge Check

  • The value of theta satisfying cos theta+sqrt3 sin theta =2 is

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

  • A value of theta satisfying sin 5 theta-sin 3 theta+sin theta=0, such that 0 lt theta lt pi/2 is

    A
    `pi/12`
    B
    `pi/6`
    C
    `pi/4`
    D
    `pi/2`

  • Value(s) of theta satisfying the equation sin 7 theta = sin 4 theta - sin theta , where 0 lt theta lt (pi//2) , are

    A
    `pi//9, pi//4`
    B
    `pi//3, pi//9`
    C
    `pi//6, pi//9`
    D
    `pi//3, pi//4`

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    In an obtuse angled triangle,the obtuse angle is (3 pi)/(4) and the other two angles are equal to two values of theta satisfying a tan theta+b sec theta=c, where |b|<=sqrt(a^(2)+c^(2)), then a^(2)-c^(2) is equal to

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    Evaluate sin^2 theta - cos^2 theta , if sqrt3 tan theta = 3 sin theta , theta = 0 and theta is an acute angle.

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