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Show that the point A(-4, 9, 6), B(-1,6,...

Show that the point `A(-4, 9, 6), B(-1,6,6), C(0,7,10) form a right angled isosceles triangle.

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Show that the points (2, 3, 5), (-1, 5, -1) and (4, -3, 2) form a right angled isosceles triangle.

Show that the points (-2,5),(3,-4),(7,10) form a right angled isosceles triangle.

Show that the points (4,4), (3,5), (-1,-1) form a right angled triangle.

Show that the lines x-7y-22=0, 3x+4y+9=0 and 7x+y-54=0 form a right angled isosceles triangle.

Show that the points (1,3),(3,-1),(-5,-5) form a right angled triangle.

I : The points (2, -2), (-1, 2), (3, 5) are the vertices of a right angled isoceles triangle. II : The points (2, -4), (4, -2), (7, 1) form an isosceles triangle.

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 A(1,2,7),B(2,6,3) and C(3,10,-1) are collinear.

SRISIRI PUBLICATION-IPE SCANNER (TEXTUAL BITS)-3D - GEOMETRY
  1. Find distance between the points (5, -1, 7) and (8,5,1)

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  2. Show that the points (1,2,3), (2,3,1) and (3,1,2) form an equilateral ...

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  3. Show that the point A(-4, 9, 6), B(-1,6,6), C(0,7,10) form a right ang...

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  4. Show that ABCD is a square where A,B,C,D are the points (0,4,1),(2,3,-...

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  5. Find the distance between the mid point of the line segment bar(AB) an...

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  6. If M(alpha , beta , gamma ) is the mid point of the line segment joini...

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  7. If (x(1),y1,z1) and (x2,y2,z2) are two vertices and (alpha, beta, gamm...

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  8. Find the ratio in which the XZ-plane divides the line joining A(-2,3,4...

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  9. Show that the points (5,4,2),(6,2,-1) and(8,-2,-7) are collinear.

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  10. Show that the points A(3,2,-4),B(5,4,-6) andC(9,8,-10) are collinear a...

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  11. If H,G,S, I are respectively othercentre centroid , circumcentre and i...

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  12. The incentre of the triangle formed by (0,0,0),(3,0,0),(0,4,0) is

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  13. A,B,C are three points OX,OY,OZ respectively, at distance a,b,c from t...

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  14. P is a variable point which moves such that 3PA =2PB. If A(-2,2,3) and...

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  15. Show that the point whose distance from Y-axis in thrice its distance ...

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  16. Find the centroid of triangle ABC where A (6,-2,7), B(3,-6,10), C(6,2,...

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  17. The centroid of the tetrahedron whose vertices are (4,1,-2), (-3,3,-...

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  18. A(5,4,6), B(1,-1,3),C(4,3,2) are three points. Find the coordinates of...

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  19. If the origin is shifted to the point (1, 2) by a translation of the a...

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  20. Find the ratio in which the point P(5,4,-6) divides the line segment j...

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