Question
Download Solution PDFIf the distance between the points A(- 1, 3, - 4) and B(1, - 3, a) is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- The distance between the points A(x1, y1, z1) and B(x2, y2, z2) is given by:
CALCULATION:
Given: The distance between the points A(- 1, 3, - 4) and B(1, - 3, a) is
Let d denote the distance between the given points.
As we know that, the distance between the points A(x1, y1, z1) and B(x2, y2, z2) is given by:
Here, x1 = -1, y1 = 3, z1 = -4, x2 = 1, y2 = - 3, z2 = a and
⇒
⇒
By squaring both the sides we get,
⇒ 104 = 40 + a2 + 8a + 16
⇒ a2 + 8a - 48 = 0
⇒ a = 4, - 12
Hence, correct option is 2.
Last updated on Jun 20, 2025
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