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Find the orthocentre of the triangle for...

Find the orthocentre of the triangle formed by `4x-7y+10=0, x+y-5=0, 7x+4y-15=0`.

Text Solution

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The correct Answer is:
(1,2)
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Explore conceptually related problems

Find the orthocentre of the triangle formed by x+y+10=0,x-y-2=0, 2x+y-7=0 .

Find the incentre of the triangle formed by x+y-7=0,x-y+1=0,x-3y+5=0 .

Knowledge Check

  • I : The circumcentre of the triangle with vertices (1, sqrt(3)), (1, -sqrt(2)), (3, -sqrt(3)) is (2, 0). II : The orthocentre of the triangle formed by the lines 4x-7y+10=0, x+y=5, 7x+4y=15 is (1, 2)

    A
    only I is true
    B
    only II is true
    C
    both I and II are true
    D
    neither I nor II are true

  • The orthocentre of the triangle formed by the lines x+y+1=0,x-y-1=0,3x+4y+5=0 is

    A
    (0,-1)
    B
    (0,0)
    C
    (1,10
    D
    (-1,0)

  • The orthocentre of the triangle formed by the lines x-2y+9=0, x+y-9=0, 2x-y-9=0 is

    A
    (5, 5)
    B
    (5, -5)
    C
    (-5, 5)
    D
    (-5, -5)

    • Similar Questions

    Explore conceptually related problems

    Find the orthocentre of the triangle whose sides are x+y+10=0,x-y-2=0, 2x+y-7=0

    Find the orthocentre of the triangle whose sides are 4x-7y+10=0,x+y=6 and 7x+4y=15

    Find the orthocentre of the triangle whose sides are 7x+y-10=0, x-2y+5=0, x+y+2=0

    Find the orthocentre of the triangle formed by the lines 2x-y=2,3x-2y=1,x-y=0

    Find the orthocentre of the triangle whose sides are x+2y=0,4x+3y-5=0, 3x+y=0

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