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Show that the points (6,6) , (2,3) and (...

Show that the points (6,6) , (2,3) and (4,7) are the vertices of a right angled triangle

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Without using the Pythagoras theorem, show that the points (4,4), (3, 5) and (-1, -1) are the vertices of a right angled triangle.

Show that the points (3,0),(6,4) and (-1,3) are the vertices of a right angled isosceles triangle.

Show that the points (0,7,10), (-1,6,6) and (-4,9,6) are the vertices of a right angled isosceles triangle.

Show that the points A=(2,-1,1),B=(1,-3,-5) and C=(3,-4,-4) are vertices of a right angled triangle (using vector method).

Show that the points (-2,-1),(5,4),((6,7) and (-1,2) are the vertices of a parallelogram .Is the parallelogram a rectangle ?

The points (0,8/3),(1,3) and (82 ,30) are the vertices of (A) an obtuse-angled triangle (B) an acute-angled triangle (C) a right-angled triangle (D) none of these

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CHHAYA PUBLICATION-REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY -EXERCISE 1 (Very Short Type Questions )
  1. Show that the points (2,2) , (-2,-2) and (-2sqrt(3),2sqrt(3)) are the...

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  2. Prove that the points (-1,5) , (3,2) and (-1,-1) are the vertices of a...

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  3. Show that the points (6,6) , (2,3) and (4,7) are the vertices of a rig...

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  4. Prove that the points (7,9) , (3,-7) and (-3,3) form a right angled is...

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  5. The coordinates of the points A and B are (2,4) and (2,6) respectively...

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  6. The centre of a circle is at (5,3) and its radius is 5 . Find the leng...

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  7. If the point (x,y) be equidistant from the points (a+b,b-a) and (a-b,a...

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  8. The base of an isosceles triangle is the line - segment joining the po...

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  9. Find the ratio in which the point (1,2) divides the line -segment join...

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  10. Find the ratio in which the point (-5,-20) divides the line -segment j...

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  11. In what ratio the line - segment joining the points (3,4) and (2,-3) i...

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  12. P is a point on the line - segment overline(AB) such that overline(AP...

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  13. The line -segment overline(CD) is produced to Q such that 2overline(CQ...

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  14. Find the coordinates of the point of trisection of the line - segment ...

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  15. Show that the line -segment joining the points (8,3),(-2,7) and the li...

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  16. Find (x,y) if (3,2) , (6,3) , (x,y) and (6,5) are the vertices of a pa...

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  17. If (x(1),y(1)),(x(2),y(2)),(x(3),y(3))and(x(4),y(4)) be the consecutiv...

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  18. Find the coordinates of the point of intersection of the medians of th...

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  19. The coordinates of the vertices of a triangle are (4,-3) , (-5,2) and...

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  20. The centroid of a triangle is (-1,-2) and coordinates of its two verti...

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