JEE Mains · Maths · STD 12 - 11. three dimension geometry
Let the line L pass through the point (-3, 5, 2) and make equal angles with the positive coordinate axes. If the distance of L from the point \( (-2,r,1) \) is \( \sqrt{\frac{14}{3}} \). then the sum of all possible values of r is :
- A 12
- B 16
- C 6
- D 10
Answer & Solution
Correct Answer
(D) 10
Step-by-step Solution
Detailed explanation
Equation line is: \( \frac{x+3}{1}=\frac{y-5}{1}=\frac{z-2}{1}=\lambda \) \(\therefore\) General point R on line is \( R(\lambda-3,\lambda+5,\lambda+2) \) \(\overrightarrow{PR}\equiv(\lambda-1,\lambda+5-r,\lambda+1) \) Now \(\overrightarrow{ PR } \cdot \overrightarrow{ d }=0\)…
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