JEE Mains · Maths · STD 12 - 11. three dimension geometry
The sum of the intercepts on the coordinate axes of the plane passing through the point \((-2,- 2,2)\) and containing the line joining the points \(( 1, - 1, 2)\) and \(( 1, 1 , 1 )\) is
- A \(12\)
- B \(-8\)
- C \(-4\)
- D \(4\)
Answer & Solution
Correct Answer
(C) \(-4\)
Step-by-step Solution
Detailed explanation
Equation of plance passing through three given points is: \(\left| {\begin{array}{*{20}{c}} {x - {x_1}}&{y - {y_1}}&{z - {z_1}}\\ {{x_2} - {x_1}}&{{y_2} - {y_1}}&{{z_2} - {z_1}}\\ {{x_3} - {x_1}}&{{y_3} - {y_1}}&{{z_3} - {z_1}} \end{array}} \right| = 0\)…
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