JEE Main 2014 · 12 Apr · Shift 1 · Mathematics Q80

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MathematicsSingle correct+4 / -1Question 80 of 90

For the two circles $x^2+y^2=16$ and $x^2+y^2-2y=0$ , there is/are :

one pair of common tangents

two pairs of common tangents

three common tangents

no common tangent

Answer and worked solution

Official answer: D

The second circle has centre $(0,1)$ , radius 1. Its distance from the origin is 1, less than $4-1=3$ , so it lies inside the first circle. There is no common tangent.

Topics:Tangents and normals

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JEE Main 2014 · 12 Apr · Shift 1, Mathematics question 80