Skew Lines and Coplanar Lines
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Three Dimensional Geometry

121237 Let \(\mathrm{L}_1\left(\right.\) resp. \(\left.\mathrm{L}_2\right)\) be the line passing through \(2 \mathrm{i}-\) \(\mathbf{k}\) (resp. \(2 \mathbf{i}+\mathbf{j}-3 \mathbf{k}\) ) and parallel to \(3 \mathbf{i}-\mathbf{j}+2 \mathbf{k}\) (resp. \(\mathbf{i}-2 \mathbf{j}+\mathbf{k})\). Then the shortest distance between the lines \(L_1\) and \(L_2\) is equal to

1 \(\frac{10}{\sqrt{35}}\)
2 \(\frac{8}{\sqrt{35}}\)
3 \(\frac{11}{\sqrt{35}}\)
4 \(\frac{9}{\sqrt{35}}\)
AP EAMCET-19.08.2021
Three Dimensional Geometry

121234 The shortest distance of a point from the \(x\)-axis, \(y\)-axis and \(z\)-axis respectively are \(2,3,6\). What is the distance of the point from the origin?

1 \(\frac{7}{\sqrt{2}}\)
2 7
3 11
4 \(\frac{49}{2}\)
SCRA-2014
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Three Dimensional Geometry

121237 Let \(\mathrm{L}_1\left(\right.\) resp. \(\left.\mathrm{L}_2\right)\) be the line passing through \(2 \mathrm{i}-\) \(\mathbf{k}\) (resp. \(2 \mathbf{i}+\mathbf{j}-3 \mathbf{k}\) ) and parallel to \(3 \mathbf{i}-\mathbf{j}+2 \mathbf{k}\) (resp. \(\mathbf{i}-2 \mathbf{j}+\mathbf{k})\). Then the shortest distance between the lines \(L_1\) and \(L_2\) is equal to

1 \(\frac{10}{\sqrt{35}}\)
2 \(\frac{8}{\sqrt{35}}\)
3 \(\frac{11}{\sqrt{35}}\)
4 \(\frac{9}{\sqrt{35}}\)
AP EAMCET-19.08.2021
Three Dimensional Geometry

121234 The shortest distance of a point from the \(x\)-axis, \(y\)-axis and \(z\)-axis respectively are \(2,3,6\). What is the distance of the point from the origin?

1 \(\frac{7}{\sqrt{2}}\)
2 7
3 11
4 \(\frac{49}{2}\)
SCRA-2014
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