The length of the intercept made by the sphere x2+y2+z2−4x+6y+8z+4=0 on ′z′ axis is
A
4√3
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B
2√13
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C
2√15
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D
2√18
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Solution
The correct option is A4√3 For z-intercept put x=0,y=0 ⇒02+02+z2−4(0)+6(0)+8z+4=0 ⇒z2+8z+4=0 ⇒z=−4±2√3 Hence, length of the intercept is =−4+2√3−(−4−2√3)=4√3