JEE Mains · Maths · STD 12 - 11. three dimension geometry
A plane which bisects the angle between the two given planes \(2x -y + 2z -4 = 0\) and \(x + 2y + 2z -2 = 0\), passes through the point
- A \((1, 4, -1)\)
- B \((2, -4, 1)\)
- C \((2, 4, 1)\)
- D \((1, -4, 1)\)
Answer & Solution
Correct Answer
(B) \((2, -4, 1)\)
Step-by-step Solution
Detailed explanation
Equation of angle bisectors \(\frac{2 x-y+2 z-4}{\sqrt{2^{2}+(-1)^{2}+2^{2}}}=\pm\left(\frac{x+2 y+2 z-2}{\sqrt{1^{2}+2^{2}+2^{2}}}\right)\) .....\((1)\) Case I: take positive sign \(2 x-y+2 z-4=x+2 y+2 z-2\) \(x-3 y-2=0\) ........\((2)\) Case II : take negative sign…
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