jee-main 2018 Q69

jee-main · India · 15apr Circles Tangent Lines and Tangent Lengths

Two parabolas with a common vertex and with axes along the $x$-axis and $y$-axis respectively, intersect each other in the first quadrant. If the length of the latus rectum of each parabola is 3, then the equation of the common tangent to the two parabolas is :
(1) $3 ( x + y ) + 4 = 0$
(2) $8 ( 2 x + y ) + 3 = 0$
(3) $x + 2 y + 3 = 0$
(4) $4 ( x + y ) + 3 = 0$

Two parabolas with a common vertex and with axes along the $x$-axis and $y$-axis respectively, intersect each other in the first quadrant. If the length of the latus rectum of each parabola is 3, then the equation of the common tangent to the two parabolas is :\\
(1) $3 ( x + y ) + 4 = 0$\\
(2) $8 ( 2 x + y ) + 3 = 0$\\
(3) $x + 2 y + 3 = 0$\\
(4) $4 ( x + y ) + 3 = 0$

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