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ABC is a triangle . Locate a point in th...

ABC is a triangle . Locate a point in the interior of `triangleABC` which is equidistant from all the vertices of `triangleABC`.

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ABC is triangle. Locate a point in the interior of Delta ABC which is equidistant from all the vertices of Delta ABC .

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Knowledge Check

  • The locus of the points which are equidistant from (-a, 0) and x=a

    A
    `y^(2)=4 a x`
    B
    `y^(2)=-4 a x`
    C
    `x^(2)+4 a y=0`
    D
    `x^(2)-4 a y=0`

  • To construct a triangle similar to a given triangle ABC with its sides (8)/(5) th the corresponding sides of triangle A, B, C draw a ray BX such that CBX is an acute angle and X is on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on the ray BX

    A
    `5`
    B
    2)`8`
    C
    3)`13`
    D
    4)`3`

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    Find a point on the x-axis, which is equidistant from the points (7,6) and (3, 4).

    Find a point on the Y-axis which is equidistant from both the points A(6, 5) and B(– 4, 3).

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