3D Geometry 2 Question 3
3. Let and respectively be the position vectors of the points and with respect to the origin . If the distance of from the bisector of the acute angle between and is , then the sum of all possible values of is
(2019 Main, 11 Jan II)
(a) 1
(b) 3
(c) 4
(d) 2
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Answer:
Correct Answer: 3. (a)
Solution:
- According to given information, we have the following figure.
Clearly, angle bisector divides the sides
Now, equation of bisector
According to the problem,
[Distance of a point
Sum of 2 and -1 is 1 .