AP EAMCET · Maths · Three Dimensional Geometry
If the line joining the points \(A(7, p, 2)\) and \(B(q,-2,5)\) is parallel to the line joining the points \(C(2,-3,5)\) and \(D(-6,-15,11)\), then the value of \(p^2+q^2\) is equal to
- A 25
- B 16
- C 9
- D 7
Answer & Solution
Correct Answer
(A) 25
Step-by-step Solution
Detailed explanation
\[ \begin{aligned} & \text { (a) } A(7, p, 2), B(q,-2,5) \\ & C(2,-3,5), D(-6,-15,11) \end{aligned} \] Direction ratios of \(A B\) is given as, \[ \begin{aligned} & q-7,-2-p, 5-2 \\ & \Rightarrow a_1=q-7, b_1=-2-p, c_1=3 \end{aligned} \] Direction ratios of \(C D\) is given as,…
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