121151 If two straight lines whose direction cosines are given by the relation \(l+\mathrm{m}-\mathrm{n}=0,3 l^2+\mathrm{m}^2+\mathrm{cn}\) \(l=0\) are parallel, then the positive value of \(c\) is :

121153 If the direction ratios of two lines are given by \(3 l m-4 l n+m n=0\) and \(l+2 m+3 n=0\), then the angle between the line is

121155 If the direction cosines of a straight line are \(\left(\frac{1}{c}, \frac{1}{c}, \frac{1}{c}\right)\), then \(\mathrm{c}=\)

121156 A line \(\mathrm{AB}\) in three dimensions makes angles \(45^{\circ}\) and \(120^{\circ}\) with the positive \(x\) - axis and the positive \(y\) - axis respectively. If \(A B\) makes an acute angle \(\theta\) with the positive \(\mathrm{z}\)-axis, then \(\theta\) equals

121158 The direction cosines of the line which is perpendicular to the lines with direction cosines proportional to \((1,-2,-2)\) and \((0,2,1)\) is given by.

121151 If two straight lines whose direction cosines are given by the relation \(l+\mathrm{m}-\mathrm{n}=0,3 l^2+\mathrm{m}^2+\mathrm{cn}\) \(l=0\) are parallel, then the positive value of \(c\) is :

121153 If the direction ratios of two lines are given by \(3 l m-4 l n+m n=0\) and \(l+2 m+3 n=0\), then the angle between the line is

121155 If the direction cosines of a straight line are \(\left(\frac{1}{c}, \frac{1}{c}, \frac{1}{c}\right)\), then \(\mathrm{c}=\)

121156 A line \(\mathrm{AB}\) in three dimensions makes angles \(45^{\circ}\) and \(120^{\circ}\) with the positive \(x\) - axis and the positive \(y\) - axis respectively. If \(A B\) makes an acute angle \(\theta\) with the positive \(\mathrm{z}\)-axis, then \(\theta\) equals

121158 The direction cosines of the line which is perpendicular to the lines with direction cosines proportional to \((1,-2,-2)\) and \((0,2,1)\) is given by.

121151 If two straight lines whose direction cosines are given by the relation \(l+\mathrm{m}-\mathrm{n}=0,3 l^2+\mathrm{m}^2+\mathrm{cn}\) \(l=0\) are parallel, then the positive value of \(c\) is :

121153 If the direction ratios of two lines are given by \(3 l m-4 l n+m n=0\) and \(l+2 m+3 n=0\), then the angle between the line is

121155 If the direction cosines of a straight line are \(\left(\frac{1}{c}, \frac{1}{c}, \frac{1}{c}\right)\), then \(\mathrm{c}=\)

121156 A line \(\mathrm{AB}\) in three dimensions makes angles \(45^{\circ}\) and \(120^{\circ}\) with the positive \(x\) - axis and the positive \(y\) - axis respectively. If \(A B\) makes an acute angle \(\theta\) with the positive \(\mathrm{z}\)-axis, then \(\theta\) equals

121158 The direction cosines of the line which is perpendicular to the lines with direction cosines proportional to \((1,-2,-2)\) and \((0,2,1)\) is given by.

121151 If two straight lines whose direction cosines are given by the relation \(l+\mathrm{m}-\mathrm{n}=0,3 l^2+\mathrm{m}^2+\mathrm{cn}\) \(l=0\) are parallel, then the positive value of \(c\) is :

121153 If the direction ratios of two lines are given by \(3 l m-4 l n+m n=0\) and \(l+2 m+3 n=0\), then the angle between the line is

121155 If the direction cosines of a straight line are \(\left(\frac{1}{c}, \frac{1}{c}, \frac{1}{c}\right)\), then \(\mathrm{c}=\)

121156 A line \(\mathrm{AB}\) in three dimensions makes angles \(45^{\circ}\) and \(120^{\circ}\) with the positive \(x\) - axis and the positive \(y\) - axis respectively. If \(A B\) makes an acute angle \(\theta\) with the positive \(\mathrm{z}\)-axis, then \(\theta\) equals

121158 The direction cosines of the line which is perpendicular to the lines with direction cosines proportional to \((1,-2,-2)\) and \((0,2,1)\) is given by.

121151 If two straight lines whose direction cosines are given by the relation \(l+\mathrm{m}-\mathrm{n}=0,3 l^2+\mathrm{m}^2+\mathrm{cn}\) \(l=0\) are parallel, then the positive value of \(c\) is :

121153 If the direction ratios of two lines are given by \(3 l m-4 l n+m n=0\) and \(l+2 m+3 n=0\), then the angle between the line is

121155 If the direction cosines of a straight line are \(\left(\frac{1}{c}, \frac{1}{c}, \frac{1}{c}\right)\), then \(\mathrm{c}=\)

121156 A line \(\mathrm{AB}\) in three dimensions makes angles \(45^{\circ}\) and \(120^{\circ}\) with the positive \(x\) - axis and the positive \(y\) - axis respectively. If \(A B\) makes an acute angle \(\theta\) with the positive \(\mathrm{z}\)-axis, then \(\theta\) equals

121158 The direction cosines of the line which is perpendicular to the lines with direction cosines proportional to \((1,-2,-2)\) and \((0,2,1)\) is given by.