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The equations of two sides of a triangle...

The equations of two sides of a triangle are `3y-x-2=0a n dy+x-2=0.` The third side, which is variable, always passes through the point `(5,-1)` . Find the range of the values of the slope of the third side, so that the origin is an interior point of the triangle.

Answer

Step by step text solution for The equations of two sides of a triangle are 3y-x-2=0a n dy+x-2=0. The third side, which is variable, always passes through the point (5,-1) . Find the range of the values of the slope of the third side, so that the origin is an interior point of the triangle. by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

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Knowledge Check

  • The equations of sides of a triangle are x+3y=0 , 4x-3y=5 and 3x-y=0. Then the line 6x-7y=0 passes through the __________ of the triangle.

    A
    incentre
    B
    centroid
    C
    circumcentre
    D
    orthocentre

  • The equations of the sides of a triangle are x+y-5=0, x-y+1=0, and y-1=0. Then the coordinates of the circumcenter are

    A
    2,1
    B
    1,2
    C
    2,-2
    D
    1,-2

  • Two equal sides of an isosceles triangle are 7 3 0 x y - + = and x y + - = 3 0 and its third side passes through the point (1,-10) Find the equation of the third side

    A
    `x-3y=-31`
    B
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    C
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    D
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