Question
Question: If x co-ordinates of a point P of line joining the points Q(2, 2, 1) and R(5, 2, –2) is 4, then the...
If x co-ordinates of a point P of line joining the points
Q(2, 2, 1) and R(5, 2, –2) is 4, then the z-coordinates of P is
A
–2
B
–1
C
1
D
2
Answer
–1
Explanation
Solution
AB = (a–1)2+32 = 5
̃ a – 1 = ± 4 ̃ a = – 3, 5
CD = (a–1)2+(a+5)2+(a−1)2=6
̃ a2 – 2a – 15 = 0
̃ a = – 3, 5