jee-main 2018 Q70

jee-main · India · 15apr_shift1 Circles Tangent Lines and Tangent Lengths
Two parabolas with a common vertex and with axes along $x$-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) $4 ( x + y ) + 3 = 0$
(4) $x + 2 y + 3 = 0$
Two parabolas with a common vertex and with axes along $x$-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) $4 ( x + y ) + 3 = 0$\\
(4) $x + 2 y + 3 = 0$