jee-main 2014 Q89

jee-main · India · 09apr Vectors: Lines & Planes Dihedral Angle or Angle Between Planes/Lines

A line in the 3-dimensional space makes an angle $\theta \left( 0 < \theta \leq \frac { \pi } { 2 } \right)$ with both the $X$ and $Y$-axes. Then, the set of all values of $\theta$ is in the interval:
(1) $\left( \frac { \pi } { 3 } , \frac { \pi } { 2 } \right]$
(2) $\left( 0 , \frac { \pi } { 4 } \right]$
(3) $\left[ \frac { \pi } { 4 } , \frac { \pi } { 2 } \right]$
(4) $\left[ \frac { \pi } { 6 } , \frac { \pi } { 3 } \right]$

A line in the 3-dimensional space makes an angle $\theta \left( 0 < \theta \leq \frac { \pi } { 2 } \right)$ with both the $X$ and $Y$-axes. Then, the set of all values of $\theta$ is in the interval:\\
(1) $\left( \frac { \pi } { 3 } , \frac { \pi } { 2 } \right]$\\
(2) $\left( 0 , \frac { \pi } { 4 } \right]$\\
(3) $\left[ \frac { \pi } { 4 } , \frac { \pi } { 2 } \right]$\\
(4) $\left[ \frac { \pi } { 6 } , \frac { \pi } { 3 } \right]$

Paper Questions

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