jee-advanced 2011 Q48

jee-advanced · India · paper2 Straight Lines & Coordinate Geometry Locus Determination

Let $( x , y )$ be any point on the parabola $y ^ { 2 } = 4 x$. Let $P$ be the point that divides the line segment from $( 0,0 )$ to $( x , y )$ in the ratio $1 : 3$. Then the locus of $P$ is
(A) $x ^ { 2 } = y$
(B) $y ^ { 2 } = 2 x$
(C) $y ^ { 2 } = x$
(D) $x ^ { 2 } = 2 y$

Let $( x , y )$ be any point on the parabola $y ^ { 2 } = 4 x$. Let $P$ be the point that divides the line segment from $( 0,0 )$ to $( x , y )$ in the ratio $1 : 3$. Then the locus of $P$ is\\
(A) $x ^ { 2 } = y$\\
(B) $y ^ { 2 } = 2 x$\\
(C) $y ^ { 2 } = x$\\
(D) $x ^ { 2 } = 2 y$

Paper Questions

Q41 Q42 Q43 Q44 Q45 Q46 Q47 Q48 Q49