jee-main 2021 Q77

jee-main · India · session4_27aug_shift2 Differential equations Higher-Order and Special DEs (Proof/Theory)
A differential equation representing the family of parabolas with axis parallel to $y$-axis and whose length of latus rectum is the distance of the point $( 2 , - 3 )$ from the line $3 x + 4 y = 5$, is given by: (1) $11 \frac { d ^ { 2 } x } { d y ^ { 2 } } = 10$ (2) $11 \frac { d ^ { 2 } y } { d x ^ { 2 } } = 10$ (3) $10 \frac { d ^ { 2 } y } { d x ^ { 2 } } = 11$ (4) $10 \frac { d ^ { 2 } x } { d y ^ { 2 } } = 11$
A differential equation representing the family of parabolas with axis parallel to $y$-axis and whose length of latus rectum is the distance of the point $( 2 , - 3 )$ from the line $3 x + 4 y = 5$, is given by:
(1) $11 \frac { d ^ { 2 } x } { d y ^ { 2 } } = 10$
(2) $11 \frac { d ^ { 2 } y } { d x ^ { 2 } } = 10$
(3) $10 \frac { d ^ { 2 } y } { d x ^ { 2 } } = 11$
(4) $10 \frac { d ^ { 2 } x } { d y ^ { 2 } } = 11$