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Find the centriod and hence find the are...

Find the centriod and hence find the area of the triangle formed by the following lines
`2y^(2)-xy-6x^(2)=0 x+y+4=0`

Text Solution

Verified by Experts

The correct Answer is:
`((20)/(3),-(44)/(3)),(56)/(3)`
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Find the centriod and hence find the area of the triangle formed by the following lines 3x^(2)-4xy+y^(2)=0, 2x-y=6

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Knowledge Check

  • The orthocentre of the triangle formed by the lines x+y= and 2y^2-xy-6x^2=0 is

    A
    `((4)/(3),(4)/(3))`
    B
    `(2)/(3),(2)/(3))`
    C
    `((2)/(3),(-2)/(3))`
    D
    `((4)/(3),(-4)/(3))`

  • the orthocentre of the triangle formed by the lines x+y = 1 and 2y^(2)-xy-6x^(2)=0 is

    A
    `((4)/(3),(4)/(3))`
    B
    `((2)/(3),(2)/(3))`
    C
    `((2)/(3),(-2)/(3))`
    D
    `((4)/(3),(-4)/(3))`

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    Find the centroid and the area of the triangle formed by the following lines . 3x^(2)-4xy+y^(2)=0,2x-y=6

    Find the centroid and the area of the triangle formed by the lines 2y^2-xy-6x^2=0,x+y+4=0

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