Question:
Let λ1,λ2 be the values of λ for which the points \((\frac{5}{2},1,λ)\) and (-2, 0, 1) are at equal distance from the plane 2x+3y-6z+7=0. If λ1>λ2, then the distance of the point (λ1-λ2,λ2,λ1) from the line \(\frac{x-5}{1}=\frac{y-1}{2}=\frac{z+7}{2}\)is______.
Let λ1,λ2 be the values of λ for which the points \((\frac{5}{2},1,λ)\) and (-2, 0, 1) are at equal distance from the plane 2x+3y-6z+7=0. If λ1>λ2, then the distance of the point (λ1-λ2,λ2,λ1) from the line \(\frac{x-5}{1}=\frac{y-1}{2}=\frac{z+7}{2}\)is______.
Updated On: Jan 9, 2025
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Correct Answer: 9
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The answer is: 9
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