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The orthocenter of triangle whose vertic...

The orthocenter of triangle whose vertices are `A(a,0,0) , B(0,b,0)` and `C(0,0,c`) is `(k/a, k/b, k/c)` then `k=`

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Knowledge Check

  • The incentre of triangle whose vertices are A(0, 3, 0), B(0, 0, 4), C(0, 3, 4) is

    A
    `(0, 24, 36)`
    B
    `(0, 36, 24)`
    C
    `(0, 3, 2)`
    D
    `(0, 2, 3)`

  • Equation of the locus of the centroid of the triangle whose vertices are (a cos k, a sin k),(b sin k, -b cos k) and (1,0) , where k is a perameter, is

    A
    `(1-3x)^2+9y^2=a^2+b^2`
    B
    `(3x-1)^2+9y^2=2a^2+b^2`
    C
    `(3x+1)^2+(3y)^2=a^2+b^2`.
    D
    `(3x+1)^2+(3y)^2=3a^2 3b^2`.

  • Equation of the locus of the centroid of the triangle whose vertices are (acos k, a sin k),(b sin k, -b cos k) and (1,0) where k is a p arameter is

    A
    `(1-3x)^(2)+9y^(2)=a^(2)+b^(2)`
    B
    `(3x-1)^(2)+9y^(2)=2a^(2)+2b^(2)`
    C
    `(3x+1)^(2)+(3y)^(2)=a^(2)+b^(2)`
    D
    `(3x+1)^(2)+(3y)^(2)=3a^(2)+3b^(2)`

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    If the triangle with vertices A (12,8) , B (-2,k) and C (6,0) is right - angled at C, find k.

    Equation of the locus of the centroid of the triangle whose vertices are (a cos k, a sin k),(b sin k, -b cos k) and (1,0) , where k is a perameter, is

    The centre of circle which passes through A (h, 0), B (0, k) and C (0, 0) is : (A) (h/2, 0) (B) (0, k/2) (C) (h/2, k/2) (D) (h, k)

    The centre of circle which passes through A (h, 0), B (0, k) and C (0, 0) is : (A) (h/2, 0) (B) (0, k/2) (C) (h/2, k/2) (D) (h, k)

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