jee-main 2014 Q88

jee-main · India · 19apr Vectors: Lines & Planes Dihedral Angle or Angle Between Planes/Lines

If the angle between the line $2 ( x + 1 ) = y = z + 4$ and the plane $2 x - y + \sqrt { \lambda } z + 4 = 0$ is $\frac { \pi } { 6 }$, then the value of $\lambda$ is
(1) $\frac { 45 } { 7 }$
(2) $\frac { 135 } { 11 }$
(3) $\frac { 135 } { 7 }$
(4) $\frac { 45 } { 11 }$

If the angle between the line $2 ( x + 1 ) = y = z + 4$ and the plane $2 x - y + \sqrt { \lambda } z + 4 = 0$ is $\frac { \pi } { 6 }$, then the value of $\lambda$ is\\
(1) $\frac { 45 } { 7 }$\\
(2) $\frac { 135 } { 11 }$\\
(3) $\frac { 135 } { 7 }$\\
(4) $\frac { 45 } { 11 }$

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