TS EAMCET · Maths · Three Dimensional Geometry
If the line passing through the points \((a, 2,-4)\) and \((5,3, b)\) crosses the \(Z X\)-plane at the point \((-a+2 b, 0, a+b)\), then \(14 a+7 b\)
- A 35
- B 73
- C -35
- D -23
Answer & Solution
Correct Answer
(D) -23
Step-by-step Solution
Detailed explanation
Equation of line passing through the points \((a, 2,-4)\) and \((5,3, b)\) is given by \(\frac{x-a}{5-a}=\frac{y-2}{3-2}=\frac{z+4}{b+4}\) \(\Rightarrow \quad \frac{x-a}{5-a}=\frac{y-2}{1}=\frac{z+4}{b+4}…
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