{"ok":true,"q":"Midpoint Theorem","n":16,"results":[{"id":"class_10\/mathematics\/chapter_06_triangles","title":"Chapter 6 — Triangles","class_num":10,"subject":"mathematics","subject_label":"Mathematics","summary":"Chapter: Triangles (Class 10 Mathematics, NCERT). This chapter introduces the idea of similarity in geometry and develops tools to compare shapes that have the same form but differ","topic":"Important lemmas, corollaries and auxiliary results","anchor":"topic-9"},{"id":"class_09\/mathematics\/chapter_07_triangles","title":"Chapter 7 — Triangles","class_num":9,"subject":"mathematics","subject_label":"Mathematics","summary":"Chapter 'Triangles' (Class 9, NCERT) introduces triangles, their types and basic elements, and develops students' understanding of triangle congruence, key properties and inequalit","topic":"","anchor":""},{"id":"class_09\/mathematics\/chapter_05_introduction_to_euclid_s_geometry","title":"Chapter 5 — Introduction To Euclid S Geometry","class_num":9,"subject":"mathematics","subject_label":"Mathematics","summary":"This chapter introduces Euclid’s approach to geometry as presented in his Elements and explains the axiomatic method that underpins classical (Euclidean) geometry. It begins with t","topic":"","anchor":""},{"id":"class_07\/mathematics\/chapter_06_the_triangle_and_its_properties","title":"Chapter 6 — The Triangle And Its Properties","class_num":7,"subject":"mathematics","subject_label":"Mathematics","summary":"Introduction: This chapter introduces triangles — three-sided polygons — and their basic parts (vertices, sides, interior and exterior angles). It builds the foundation of plane ge","topic":"","anchor":""},{"id":"class_09\/mathematics\/chapter_10_circles","title":"Chapter 10 — Circles","class_num":9,"subject":"mathematics","subject_label":"Mathematics","summary":"This chapter introduces the circle as a fundamental plane figure and develops the basic language, properties and simple theorems about chords, arcs and angles. It explains centre, ","topic":"","anchor":""},{"id":"class_09\/mathematics\/chapter_03_coordinate_geometry","title":"Chapter 3 — Coordinate Geometry","class_num":9,"subject":"mathematics","subject_label":"Mathematics","summary":"This chapter introduces the Cartesian (coordinate) plane and the language of coordinate geometry. Students learn how two perpendicular number lines (x-axis and y-axis) form a plane","topic":"","anchor":""},{"id":"class_11\/physics\/chapter_07_system_of_particles_and_rotational_motion","title":"Chapter 7 — System Of Particles And Rotational Motion","class_num":11,"subject":"physics","subject_label":"Physics","summary":"This chapter introduces the mechanics of a system of particles and the rotational motion of rigid bodies about a fixed axis. It begins with the concept of centre of mass and the mo","topic":"Moment of inertia (rotational inertia)","anchor":"topic-8"},{"id":"class_09\/mathematics\/chapter_11_constructions","title":"Chapter 11 — Constructions","class_num":9,"subject":"mathematics","subject_label":"Mathematics","summary":"Chapter: Constructions (Class 9, NCERT) Introduction: This chapter introduces classical Euclidean constructions using only an unmarked straightedge (ruler) and a compass. It teache","topic":"Basic Constructions","anchor":"topic-2"},{"id":"class_09\/mathematics\/chapter_09_areas_of_parallelograms_and_triangles","title":"Chapter 9 — Areas Of Parallelograms And Triangles","class_num":9,"subject":"mathematics","subject_label":"Mathematics","summary":"This chapter builds geometric understanding of area for two fundamental plane figures: parallelograms and triangles. It introduces area as the measure of the region enclosed by a f","topic":"","anchor":""},{"id":"class_09\/mathematics\/chapter_08_quadrilaterals","title":"Chapter 8 — Quadrilaterals","class_num":9,"subject":"mathematics","subject_label":"Mathematics","summary":"Introduction: This chapter studies quadrilaterals — four-sided plane figures — and their special types (parallelogram, rectangle, rhombus, square, trapezium). It starts with the an","topic":"","anchor":""}]}