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Grade: 11

                        

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

5 years ago

Answers : (2)

grenade
2061 Points
							
B
The circle and the parabola touch each other at x = 1 i.e. at the points (1, 2) and (1, – 2) 
5 years ago
Utkarsh
43 Points
							
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)
4 years ago
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