The distance of the point P 3-8-2 from the line x -1-2- y -3-4- z -2-3 measured parallel to the plane 3 x -2 y -2 z -15-0 is

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Standard XII

Mathematics

Distance Formula

The distance ...

Question

The distance of the point P(3, 8, 2) from the line $\frac{x - 1}{2} = \frac{y - 3}{4} = \frac{z - 2}{3}$ measured parallel to the plane 3x+2y-2z+15 = 0 is

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Solution

Let A (2λ+1, 4λ+3, 3λ+2) be a point on the line

Distance from A to the plane = distance from P to the plane

$\Rightarrow$ λ=2

∴ A = (5, 11, 8) and PA = 7

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The distance of the point P(3, 8, 2) from the linex−12=y−34=z−23​ measured parallel to the plane 3x+2y-2z+15 = 0 is ___

Let A (2λ+1, 4λ+3, 3λ+2) be a point on the line Distance from A to the plane = distance from P to the plane ⇒λ=2 ∴ A = (5, 11, 8) and PA = 7

The distance of the point P(3, 8, 2) from the line $\frac{x - 1}{2} = \frac{y - 3}{4} = \frac{z - 2}{3}$ measured parallel to the plane 3x+2y-2z+15 = 0 is

___

Let A (2λ+1, 4λ+3, 3λ+2) be a point on the line

Distance from A to the plane = distance from P to the plane

$\Rightarrow$ λ=2

∴ A = (5, 11, 8) and PA = 7