UPSC NDA I 2014 Mathematics Paper

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For the next two (02) items that follow:
Consider the spheres
x2+y2+z2−4y+3=0 and x2+y2+z2+2x+4z−4=0
[NDA I 2014]
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Question : 65 of 120
 
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Consider the following statements:
1. The two spheres intersect each other.
2. The radius of first sphere is less than that of second sphere.
Which of the above statements is/are correct?
[NDA I 2014]
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