jee-main 2022 Q76

jee-main · India · session2_27jul_shift2 Tangents, normals and gradients Normal or perpendicular line problems

Consider a curve $y = y ( x )$ in the first quadrant as shown in the figure. Let the area $A _ { 1 }$ is twice the area $A _ { 2 }$. Then the normal to the curve perpendicular to the line $2 x - 12 y = 15$ does NOT pass through the point
(1) $( 6,21 )$
(2) $( 8,9 )$
(3) $( 10 , - 4 )$
(4) $( 12 , - 15 )$

Consider a curve $y = y ( x )$ in the first quadrant as shown in the figure. Let the area $A _ { 1 }$ is twice the area $A _ { 2 }$. Then the normal to the curve perpendicular to the line $2 x - 12 y = 15$ does NOT pass through the point\\
(1) $( 6,21 )$\\
(2) $( 8,9 )$\\
(3) $( 10 , - 4 )$\\
(4) $( 12 , - 15 )$

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