Maths Volume-11(3D Geometry)

Synopsis of 3D Geometry - I

Description: 3D geometry studies points, lines, and planes in three-dimensional space using vectors and coordinates.

Synopsis of 3D Geometry - II

Description: Cartesian coordinates represent positions in space, aiding calculations and transformations.

Synopsis of 3D Geometry - III

Description: Distance formula, section formula, and centroid concepts help analyze spatial relationships between points.

Synopsis of 3D Geometry - IV

Description: Equations of planes and lines define spatial structures, intersections, and perpendicularity conditions.

Direction Ratios & Equation of Straight Line - I

Description: Direction ratios describe a line’s orientation, while equations determine its path in 3D space.

Direction Ratios & Equation of Straight Line -II

Description: Vector form and Cartesian form equations of a line are derived using position and direction vectors.

Direction Ratios & Equation of Straight Line -III

Description: Intersection of lines and planes, collinearity, and coplanarity conditions help solve geometric problems efficiently.

Direction Ratios & Equation of Straight Line -IV

Description: Direction ratios help define a line's orientation in space using proportional direction numbers.

Equation of Plane and Sphere - I

Description: A plane’s equation is defined by a point and normal vector in three-dimensional space.

Equation of Plane and Sphere - II

Description: The sphere’s equation represents all points equidistant from a fixed center in three-dimensional space.

Equation of Plane and Sphere - III

Description: A plane can intersect a sphere, forming a great circle or a smaller circle.

Equation of Plane and Sphere - IV

Description: The distance between a plane and a sphere’s center determines intersection type or tangency.

Equation of Plane and Sphere - V

Description: Equation of a plane defines flat surface in space; sphere equation represents all equidistant points.

Revisal Problem (3D Geometry) - I

Description: Revisal problems in 3D geometry reinforce vector concepts, planes, and line equations using examples.

Revisal Problem (3D Geometry) - II

Description: More revisal problems target distance, angles, and symmetry properties in three-dimensional space analysis.

JEE Main & Aieee Archive (3D Geometry) - I

Description: JEE problems test understanding of plane intersections, distance of point from plane, and direction ratios.

JEE Main & Aieee Archive (3D Geometry) - II

Description: Questions involve finding shortest distance between skew lines and angle between intersecting lines or planes.

JEE Main & Aieee Archive (3D Geometry) - III

Description: Geometry problems include locating foot of perpendicular and line equations in vector and Cartesian form.

JEE Main & Aieee Archive (3D Geometry) - III

Description: Geometry problems include locating foot of perpendicular and line equations in vector and Cartesian form.

JEE Main & Aieee Archive (3D Geometry) - IV

Description: Problems mix algebra and geometry requiring visual understanding of space and solving simultaneous equations.

JEE Main & Aieee Archive (3D Geometry) - V

Description: Advanced archive problems apply all 3D concepts: planes, spheres, direction cosines, and shortest distance methods.

Physics Volume-11( Electric Charges and Fields)

Board: CBSE

Stream: Science

Standard: XII

Course: JEE/NEET

Physics Volume-11 Part II (Electrostatic Potential and Capacitance)

Board: CBSE

Stream: Science

Standard: XII

Course: JEE/NEET

Maths Volume-9(Differential Equations)

Board: CBSE

Stream: Science

Standard: XII

Course: JEE/NEET

Maths Volume-5(Binomial theorem and its simple applications)

Board: CBSE

Stream: Science

Standard: XI

Course: JEE/NEET

Maths Volume-4 (Permutation and Combination)

Board: CBSE

Stream: Science

Standard: XII

Course: JEE/NEET

Physics Volume-10(Waves)

Board: CBSE

Stream: Science

Standard: XI

Course: JEE/NEET

Maths Volume-12 (Vector Algebra)

Board: CBSE

Stream: Science

Standard: XII

Course: JEE/NEET

Maths Volume-8 Part I(Indefinite Integral)

Board: CBSE

Stream: Science

Standard: XII

Course: JEE/NEET

Maths Volume-8 Part II(Definite Integral)

Board: CBSE

Stream: Science

Standard: XII

Course: JEE/NEET

Maths Volume-7 Part II(Continuity and Differentiability)

Board: CBSE

Stream: Science

Standard: XII

Course: JEE/NEET

Physics Volume-6(Mechanics-VI)

Board: State Board

Stream: Science

Standard: XII

Course: JEE/NEET