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Standard XII

Mathematics

Equation of Family of Circles Touching a Line and Passing through a Given Point on the Line

29. Find the ...

Question

29. Find the area of the triangle formed by the straight lines whoes equations x+2y-5=0, 2x+y-7=0 and x-y+1=0 without determining the coordinates of the vertices of the triangle.also compute the tangent of the interior angles of the triangle and hence comment upon the nature of triangle.

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Q. Find the area of the triangle formed by the straight lines whose equations are

2 y + x - 5 = 0, y + 2 x - 7 = 0

, and

x - y + 1 = 0

Draw the graph of the equations $2 x - y + 6 = 0$ and $2 x + y - 6 = 0$ . Also determine the coordinates of the vertices of the triangle formed by these lines and the x-axis.

Q. A triangle is formed by the straight lines:

x + 2 y - 3 = 0, 3 x - 2 y + 7 = 0

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y + 1 = 0

Find graphically, the co-ordinates of the vertices of the triangle.

Q. Question 7
Draw the graphs of the equations x - y + 1 = 0 and 3x + 2y - 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.

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. Determine the coordinates of the vertices of the triangle formed by these lines and

x

-axis and shade the triangular area.

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