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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 = (a1)2+32\sqrt{(a–1)^{2} + 3^{2}} = 5

̃ a – 1 = ± 4 ̃ a = – 3, 5

CD = (a1)2+(a+5)2+(a1)2=6\sqrt{(a–1)^{2} + (a + 5)^{2} + (a - 1)^{2}} = 6

̃ a2 – 2a – 15 = 0

̃ a = – 3, 5