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Graph of a Linear Function in Two Variables

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Find graphically the coordinates of the vertices of a triangle whose sides have 3 equations; x 2y = 4, x = 4 & x y = 3.

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Determine graphically the coordinates of the vertices of a triangle, the equations of whose sides are:

(i) y = x,y = 2x and y + x = 6

(ii) y = x, 3y = x, x + y = 8

Q. Find graphically, the vertices of the triangle whose sides have the equations

2 y - x = 8, 5 y - x = 14

y - 2 x = 1

1 c m = 1

unit on both the axes.

Q. Find the coordinates of the incentre and centroid of the triangle whose sides have the equations 3x − 4y = 0, 12y + 5x = 0 and y − 15 = 0.

Q. Find the coordinates of the vertices of a triangle, the equations of whose sides are
(i) x + y − 4 = 0, 2x − y + 3 = 0 and x − 3y + 2 = 0
(ii) y (t₁ + t₂) = 2x + 2a t₁t₂, y (t₂ + t₃) = 2x + 2a t₂t₃ and, y (t₃ + t₁) = 2x + 2a t₁t₃.

Q. The sides of a triangle are given by the equation

y - 2 = 0, y + 1 = 3 (x - 2)

x + 2 y = 0

. Find graphically the area of triangle.

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Graph of a Linear Function in Two Variables

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