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Verify the following: (i) (0," "7," " 10...

Verify the following: (i) `(0," "7," " 10)` , `(1," "6," "6)` and `(4," "9," "6)` are the vertices of an isosceles triangle. (ii) `(0," "7," "10)` , `(1," "6," "6)` and `(" "4," "9," "6)` are the vertices of a right angled triangle. (iii)`(1," "2," "1)

A

Right triangle

B

Lsosceles triangle

C

lsosceles right triangle

D

Equilateral triangle

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A
  1. A point on y-axis at a distance sqrt(20) units from the point (2, 2,...

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  2. If a parallelopiped is formed by planes drawn through the points (2,...

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  3. Verify the following: (i) (0," "7," " 10) , (1," "6," "6) and (4," "9,...

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  4. In which ratio the line segment joining the points (2, 4, 5) and (3,...

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  5. In which ratio the line segment joining the points (3, 4, 10) and (-...

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  6. In which ratio the line segment joining the points (3, 0, 5) and (-2,...

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  7. The length of the foot of perpendicular drawn from point (3, 4, 5) ...

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  8. What is the perpendicular distance of the point (6, 7, 5) from YZ-p...

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  9. If L is the foot of the perpendicular from Q(-3, 6, 7) on the XY-pla...

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  10. The coordinates of the foot of the perpendicular drawn from the point ...

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  11. The image of the point (-2, 3, 5) in XY-plane is

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  12. If the image of the point (-4, 3, -5) in XZ-plane is Q then the coor...

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  13. If the extremities of the diagonal of a square are (1, -2, 3) and (3...

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  14. If P(0, 1, 2), Q(4, -2, 1) and R(0, 0, 0) are three points, then ang...

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  15. If origin is the centroid of the triangle with vertices P(3a, 3, 6),...

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  16. A point with y-coordinate 6 lies on the line segment joining the poi...

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  17. If the three vertices of a parallelogram ABCD are A(3, -1, 5), B(1, ...

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  18. If the points A(3,2,-4),\ B(9,8,-10)a n d\ C(5,4,-6) are collinear, fi...

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  19. The ratio in which the join of the points A(2,1,5) and B(3,4,3) is div...

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  20. The ratio in which the join of A(1, 2, 3) and B(3, 4, 6) is divided by...

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