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Show that the line joining the mid point...

Show that the line joining the mid points of two sides of a triangle is parallel to the third side.

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Using converse of Basic Proportionality theorem prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side. (Recall that you have done it in Class IX).

Using Theorem 6.2, prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side. (Recall that you have done it in Class IX).

Restate the following statement with appropriate conditions, so that they become true statement: A line joining two mid-points on two sides of a triangle is parallel to the third side.

The line-segment joining the mid-points of two sides of a triangle is parallel to the third side and ............. Of it.

Sum of any two sides of a triangle is greater than the third side.

Prove that the line joining the mid points of the diagonals of a trapezium is parallel to the parallel sides of the trapezium.

Show that the st. Line joining the mid-points of two non-parallel sides of a trapezium is parallel to the bases and is equal to half of the sum of their lengths.

Using Basic Proportionality theorem, prove thata line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that you have proved it in class IX).

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. A vector vecr has length 14 and direction numbers <2,6,-3>. Find the d...

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  2. A vector vecv is inclined at equal angles to the positive directions o...

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  3. Show that the line joining the mid points of two sides of a triangle i...

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  4. The Cartesian equations of a line are (x-5)/3 = (y+4)/7 =(z-6)/2. Ve...

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  5. The Cartesian equation of a line is (x+3)/2 = (y-5)/4 = (z+6)/2. Find...

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  6. A line passes through the point with position vector 2hati-hatj+4hatk...

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  7. Find the vector equation for the line through the points A(3,4,-7) and...

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  8. The cartesian equation of a line is 6x - 2 = 3y + 1 = 2z - 2. Find :(a...

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  9. Find the equations of a line through A(1,-1,0) and parallel to the lin...

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  10. The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices ...

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  11. Show that the two lines (x-5)/4=(y-7)/4=(z+3)/-5 and (x-8)/7=(y-4)/1=(...

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  12. Show that the lines : (x+1)/3=(y+3)/5=(z+5)/7 and (x-2)/1=(y-4)/3=(z-6...

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  13. Prove that the line through A(0,-1,-1) and B(4,5,1) intersects the lin...

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  14. Show by direction numbers that the points (-2,4,7),(3,-6,-8) and (1,-2...

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  15. Find the equation of the line passing through the points A(-2,4,7), B(...

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  16. Evaluate int (2x+5)dx/(x^2+4x+5)

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  17. Find the point on the line (x+2)/3=(y+1)/2=(z-3)/2 at a distance of 3s...

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  18. Find the angle between the pairs of line with direction ratios lt5,-...

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  19. Find the angle between the pair of lines with directions ratios: <1,1...

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  20. If P,Q are (2,3,-6),(3,-4,5), then find the acute angle that OP makes ...

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