Well the answer is yes. There will be a lot of geometry questions that will be asked in jee mains and advanced. You may expect questions of different patterns from the dame topic. Like find the area between two spheres, find the points of intersection, find the planes of intersection etc.

Hi

No, equation of sphere and intersection of two spheres are not a part of your jee mains maths syllabus .

Following topics are only there in 3 D geometry in your jee mains syllabus

• Coordinates of a point in space,
• distance between two points,
• section formula, direction ratios and direction cosines, angle between two intersecting lines.
• Skew lines, the shortest distance between them and its equation.
• Equations of a line and a plane in different forms, intersection of a line and a plane, coplanar lines

For detailed information go through

https://engineering.careers360.com/articles/jee-main-mathematics-syllabus

Thank you