jee-main 2020 Q59

jee-main · India · session1_07jan_shift2 Conic sections Equation Determination from Geometric Conditions
If $3 x + 4 y = 12 \sqrt { 2 }$ is a tangent to the ellipse $\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { 9 } = 1$ for some $a \in R$, then the distance between the foci of the ellipse is
(1) $2 \sqrt { 7 }$
(2) 4
(3) $2 \sqrt { 5 }$
(4) $2 \sqrt { 2 }$ 
If $3 x + 4 y = 12 \sqrt { 2 }$ is a tangent to the ellipse $\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { 9 } = 1$ for some $a \in R$, then the distance between the foci of the ellipse is\\
(1) $2 \sqrt { 7 }$\\
(2) 4\\
(3) $2 \sqrt { 5 }$\\
(4) $2 \sqrt { 2 }$
Paper Questions
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