121345 The image of the point \((1,6,3)\) on the line \(\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}\) is

121346 The distance of a point \((2,5,-3)\) from the plane r. \((6 \hat{\mathbf{i}}-3 \hat{\mathbf{j}}+2 \hat{\mathbf{k}})=4\) is

121347 The distance from the point \((3,4,5)\) to the point where the line \(\frac{x-3}{1}=\frac{y-4}{2}=\frac{z-5}{2}\) meets the plane \(x+y+z=17\) is

121349 A line makes the same angle \(\alpha\) with each of the \(\mathrm{X}\) and \(\mathrm{Z}\)-axis. If the angle \(\gamma\), which it makes with \(\mathrm{Y}\)-axis, is such that \(\sin ^2 \beta=3 \sin ^2 \theta\), then \(\cos ^2 \theta\) equals

121345 The image of the point \((1,6,3)\) on the line \(\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}\) is

121346 The distance of a point \((2,5,-3)\) from the plane r. \((6 \hat{\mathbf{i}}-3 \hat{\mathbf{j}}+2 \hat{\mathbf{k}})=4\) is

121347 The distance from the point \((3,4,5)\) to the point where the line \(\frac{x-3}{1}=\frac{y-4}{2}=\frac{z-5}{2}\) meets the plane \(x+y+z=17\) is

121349 A line makes the same angle \(\alpha\) with each of the \(\mathrm{X}\) and \(\mathrm{Z}\)-axis. If the angle \(\gamma\), which it makes with \(\mathrm{Y}\)-axis, is such that \(\sin ^2 \beta=3 \sin ^2 \theta\), then \(\cos ^2 \theta\) equals

121345 The image of the point \((1,6,3)\) on the line \(\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}\) is

121346 The distance of a point \((2,5,-3)\) from the plane r. \((6 \hat{\mathbf{i}}-3 \hat{\mathbf{j}}+2 \hat{\mathbf{k}})=4\) is

121347 The distance from the point \((3,4,5)\) to the point where the line \(\frac{x-3}{1}=\frac{y-4}{2}=\frac{z-5}{2}\) meets the plane \(x+y+z=17\) is

121349 A line makes the same angle \(\alpha\) with each of the \(\mathrm{X}\) and \(\mathrm{Z}\)-axis. If the angle \(\gamma\), which it makes with \(\mathrm{Y}\)-axis, is such that \(\sin ^2 \beta=3 \sin ^2 \theta\), then \(\cos ^2 \theta\) equals

121345 The image of the point \((1,6,3)\) on the line \(\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}\) is

121346 The distance of a point \((2,5,-3)\) from the plane r. \((6 \hat{\mathbf{i}}-3 \hat{\mathbf{j}}+2 \hat{\mathbf{k}})=4\) is

121347 The distance from the point \((3,4,5)\) to the point where the line \(\frac{x-3}{1}=\frac{y-4}{2}=\frac{z-5}{2}\) meets the plane \(x+y+z=17\) is

121349 A line makes the same angle \(\alpha\) with each of the \(\mathrm{X}\) and \(\mathrm{Z}\)-axis. If the angle \(\gamma\), which it makes with \(\mathrm{Y}\)-axis, is such that \(\sin ^2 \beta=3 \sin ^2 \theta\), then \(\cos ^2 \theta\) equals