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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

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 

Grade:11

2 Answers

grenade
2061 Points
7 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
43 Points
6 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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