NCERT Class 11-Math's: Chapter –12 Introduction to Three Dimensional Geometry Part 8
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Question 8:
Show that the point , and are collinear.
Answer:
Given; The point , and .
Points A, B and C are collinear.
Question 9:
Three consecutive vertices of a parallelogram ABCD are , , . Find the coordinates of the fourth vertex.
[Hint: Diagonals of a parallelogram have the same mid-point.]
Answer:
Question 10:
Show that the triangle ABC with vertices , and is right angled.
Answer:
Given; The vertices
Triangle ABC a right angled.
Question 11:
Find the centroid of a triangle, the mid-point of whose sides are , and .
Answer:
Question 12:
Find the centroid of a triangle, the mid-point of whose sides are and .
Answer:
Question 13:
The mid-points of the sides of a triangle are and . Find its vertices.
Answer:
Question 14:
Three vertices of a Parallelogram ABCD are , B and . Find the fourth vertex .
Answer:
Question 15:
Find the coordinate of the points which trisect the line segment joining the points and .
Answer:
Question 16:
If the origin is the centriod of a triangle ABC having vertices and , find the values of .
Answer:
Question 17:
Let , and be the vertices of a triangle. The internal bisector of the angle A meets BC at the point D. Find the coordinates of D.
Answer: