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Ellipse question

2008 · Shift 1 · Q34

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PYQ Library
JEE Advanced
Mathematics
Ellipse
2008 · Shift 1 · Q34

Ellipse question

2008 · Shift 1 · Q34

JEE AdvancedMathematicsEllipseMCQ+3 / −1

Consider the two curves

{C_1}:{y^2} = 4x,\,{C_2}:{x^2} + {y^2} - 6x + 1 = 0

. Then,

A
${C_1}$ and ${C_2}$ touch each other only at one point.
B
${C_1}$ and ${C_2}$ touch each other exactly at two points
C
${C_1}$ and ${C_2}$ intersect (but do not touch ) at exactly two points
D
${C_1}$ and ${C_2}$ neither intersect nor touch each other

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