AP EAMCET · Maths · Three Dimensional Geometry
If the line joining \(A(4,1,2)\) and \(B(0, k, 1)\) is perpendicular to the line joining \(C(-2,1,1)\) and \(D(4,2,5)\), then the value of \(k\) is equal to
- A \(31\)
- B \(-29\)
- C \(-31\)
- D \(29\)
Answer & Solution
Correct Answer
(D) \(29\)
Step-by-step Solution
Detailed explanation
Since, we know that the direction ratio of line joining points \(\left(x_1, y_1, z_1\right)\) and \(\left(x_2, y_2, z_2\right)\) is \( \) Now, \(A=(4,1,2), B=(0, k, 1)\) \(\therefore\) Direction ratio of line \(A B= \) Let \(a_1=-4, b_1=k-1, c_1=-1\) \(C=(-2,1,1), D=(4,2,5)\)…
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