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Given the base of a triangle and the rat...

Given the base of a triangle and the ratio of the tangent of half the base angles .Show that the vertex moves on a hyperbola whose foci are the extremities of a diameter

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Knowledge Check

  • If the base of a triangle and the ratio of the lengths of the other two unequal sides are given, then the vertex lies on a/an.

    A
    . straight line
    B
    circle
    C
    ellipse
    D
    parabola

  • Base of a right angled triangle is

    A
    `sqrt(("Hypotenous")^(2)+("Perpendicular")^(2))`
    B
    `sqrt(("Hypotenous")^(2)-("Perpendicular")^(2))`
    C
    `sqrt(("Perpendicular")^(2)-("Hypotenous")^(2))`
    D
    None of These

  • If the median drawn on the base of a triangle is half its base, the triangle will be:

    A
    right-angled
    B
    acute-angled
    C
    obtuse-angled
    D
    equilateral

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