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Grade 11Analytical Geometry

Consider the two curves C1 : y2 = 4x, C2 : x2 + y2 – 6x + 1 = 0. Then, (A) C1 and C2 touch each other only at one point
(B) C1 and C2 touch each other exactly at two points
(C) C1 and C2 intersect (but do not touch) at exactly two points (D) C1 and C2 neither intersect nor touch each other

forbes88

11 Years agoGrade 11

2 Answers

grenade

Approved Tutor Answer11 Years ago

B

The circle and the parabola touch each other at x = 1 i.e. at the points (1, 2) and (1, – 2)

Utkarsh

9 Years ago

By solving both the equations we get X=+1. Then by putting in equation we get Y^2=4, Y=+2,-2. Coordinates are (1,2), (1,-2)

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