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SSC CHSL 2024 PYQ — Question 63

SSC CHSL - 09 July 2024 - Shift 3 • Quantitative Aptitude • Q63

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Find the equation of the sphere having centre (-1,2,-3) and the radius of 3 units.

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Correct answer: C

Explanation

The correct answer is option 3 i.e. x2+y2+z2+2x−4y+6z+5=0.

The equation of a sphere with center (h, k, l) and radius r is given by:

(x−h)2^2 + (y−k)2^2 + (z−l)2^2 = r2^2

Substituting the given values:

⇒ (x−(−1))2^2 + (y−2)2^2 + (z−(−3))2^2 = 32^2

⇒ (x+1)2^2 + (y−2)2^2 + (z+3)2^2 = 9

⇒ x2+y2+z2+2x−4y+6z+5=0