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NDA · Mathematics

Analytical Geometry of Two and Three Dimensions

Coordinate geometry in 2D and 3D — lines, conics, planes, spheres.

Rectangular Cartesian Coordinate SystemDistance Formula and Section FormulaEquation of a Line in Various FormsAngle between Two LinesDistance of a Point from a LineEquation of a Circle (Standard and General Form)Conic Sections – Parabola, Ellipse, HyperbolaPoint in 3-D Space and DistanceDirection Cosines and Direction RatiosEquation of a Line in SpaceEquation of a PlaneAngle between Two Lines / PlanesEquation of a Sphere

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  • Q1 · Analytical Geometry of Two and Three Dimensions · EASY

    A line passes through the points (2, 3) and (5, 9). What is the slope of this line?

  • Q2 · Analytical Geometry of Two and Three Dimensions · MEDIUM

    The equation of a circle is x^2 + y^2 - 6x + 4y - 12 = 0. What is the radius of this circle?

  • Q3 · Analytical Geometry of Two and Three Dimensions · EASY

    The distance between the point (1, 2, 3) and the point (4, 6, 8) in 3D space is:

  • Q4 · Analytical Geometry of Two and Three Dimensions · MEDIUM

    A line has direction ratios 2, -3, 6. What are the direction cosines of this line?

  • Q5 · Analytical Geometry of Two and Three Dimensions · HARD

    The equation of a plane passing through the point (1, 2, 3) and perpendicular to the vector with direction ratios 4, -2, 1 is:

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