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Shortest Distance Between Two Skew Lines (in 3D)
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Skew lines are two non-parallel lines that do not intersect and are not coplanar. Unlike parallel lines, which are always in the same plane and maintain a constant distanc...
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How to Find x and y Intercepts of a Function
Last Updated: 23 July 2025
To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y.Let's discuss these in detail with solved examples in this article.x...
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Equation of a Sphere
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The equation of a sphere defines all points equidistant from its center, given by (x - h)² + (y - k)² + (z - l)² = r², where (h, k, l) is the center and r is the radius. T...
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Class 12 NCERT Mathematics Solutions– Chapter 11 – Three Dimensional Geometry Exercise 11.2
Last Updated: 23 July 2025
Chapter 11 of the Class 12 NCERT Mathematics Part II textbook, titled "Three Dimensional Geometry," explores the concepts and techniques used to analyze and solve problems...
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Class 12 NCERT Solutions- Mathematics Part II – Chapter 11 – Three Dimensional Geometry Exercise 11.1
Last Updated: 06 May 2024
Question 1: If a line makes angles 90°, 135°, and 45° with x, y, and z-axes respectively, find its direction cosines.Solution:Let the direction cosines of the lines be l, ...
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Coincident lines refer to lines that lie on top of each other, sharing all their points. In mathematical terms, they are essentially the same line and have infinitely many...
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How to Find the Slope of a Line From Its Graph
Last Updated: 23 July 2025
Slope of a line is the measure of its inclination with the positive x-axis. Mathematically, the slope is defined as “rise over run”. The slope is the measure of the inclin...
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Distance is a fundamental concept in mathematics and physics, representing the extent of space between two points, lines, or planes. It's a crucial metric used in various ...
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