jee-advanced 2010 Q37

jee-advanced · India · paper1 Conic sections Circle-Conic Interaction with Tangency or Intersection

Let A and B be two distinct points on the parabola $\mathrm { y } ^ { 2 } = 4 \mathrm { x }$. If the axis of the parabola touches a circle of radius $r$ having $A B$ as its diameter, then the slope of the line joining A and B can be
A) $- \frac { 1 } { r }$
B) $\frac { 1 } { r }$
C) $\frac { 2 } { r }$
D) $- \frac { 2 } { \mathrm { r } }$

Let A and B be two distinct points on the parabola $\mathrm { y } ^ { 2 } = 4 \mathrm { x }$. If the axis of the parabola touches a circle of radius $r$ having $A B$ as its diameter, then the slope of the line joining A and B can be\\
A) $- \frac { 1 } { r }$\\
B) $\frac { 1 } { r }$\\
C) $\frac { 2 } { r }$\\
D) $- \frac { 2 } { \mathrm { r } }$

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