jee-main 2014 Q70

jee-main · India · 19apr Conic sections Focal Chord and Parabola Segment Relations

A chord is drawn through the focus of the parabola $y ^ { 2 } = 6 x$ such that its distance from the vertex of this parabola is $\frac { \sqrt { 5 } } { 2 }$, then its slope can be
(1) $\frac { \sqrt { 5 } } { 2 }$
(2) $\frac { 2 } { \sqrt { 3 } }$
(3) $\frac { \sqrt { 3 } } { 2 }$
(4) $\frac { 2 } { \sqrt { 5 } }$

A chord is drawn through the focus of the parabola $y ^ { 2 } = 6 x$ such that its distance from the vertex of this parabola is $\frac { \sqrt { 5 } } { 2 }$, then its slope can be\\
(1) $\frac { \sqrt { 5 } } { 2 }$\\
(2) $\frac { 2 } { \sqrt { 3 } }$\\
(3) $\frac { \sqrt { 3 } } { 2 }$\\
(4) $\frac { 2 } { \sqrt { 5 } }$

Paper Questions

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