Intersection of a sphere by a plane is called circular section. (i) If the plane intersects the sphere in more than one different points, then the section is called a circle. (ii) If the circle of sec

Question

Intersection of a sphere by a plane is called circular section. (i) If the plane intersects the sphere in more than one different points, then the section is called a circle. (ii) If the circle of section is of greatest possible radius, then the circle is called great circle. (iii) If the radius of circular section is zero, then the section is a point circle. (iv) If the plane does not meet the sphere at all, then the section is an imaginary circle. Sphere $x^{2} + y^{2} + z^{2} - 2 x + 4 y + 6 z - 17 = 0$ is intersected by the plane $3 x - 4 y + 2 z - 5 = 0$ in

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Answer:

A

Solution:

Centre is (1, -2, -3). Clearly it lies on $3 x - 4 y + 2 z - 5 = 0 {3 + 8 - 6 - 5 = 0}$ . ∴ Great circle.

TestHub · Accepted Answer

Centre is (1, -2, -3). Clearly it lies on 3 x − 4 y + 2 z − 5 = 0 { 3 + 8 − 6 − 5 = 0 } . ∴ Great circle.

Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

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