This book has been written strictly according to new curriculum for First Year: Second Semester students at all Universities of Andhra Pradesh. It covers Equation of Plane in Terms of Its Intercepts on the Axis, Combined equation of Two Planes, Orthogonal Projection on a Plane, Equation of a line, Angle between a Line and a Plane, The condition that Two Given Lines are Coplanar, Length of the Perpendicular from a Given Point to a Given Line, Definition and Equation of the Sphere, Equation of a Circle, Power of a point, Plane of Contact, Polar Plane, Pole of a Plane, Angle of Intersection of Two Spheres, Coaxial system of spheres, Definitions of a Cone, Vertex, Guiding Curve, Generators, Enveloping Cone of a Sphere, Tangent Lines and Tangent Plane at a Point, Intersection of Two Cones with a Common Vertex etc. The book will guide the students in a proper way and inspire them to sure and brilliant success.