Coordinate Geometry

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Euclidean Distance - Formula, Derivation & Solved Examples

Last Updated: 08 April 2024

Euclidean Distance is defined as the distance between two points in Euclidean space. To find the distance between two points, the length of ...read more

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Rectangular Hyperbola

Last Updated: 10 December 2023

Rectangular Hyperbola is a hyperbola in which the transverse axis and conjugate axis are equal. i.e. in the case of rectangular hyperbola a ...read more

Last Updated: 19 July 2023

Fermat Point is the point that Pierre de Fermat, the 17th-century French mathematician, posed as a challenge to his compatriot Evangelista T...read more

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Count of integral points that lie at a distance D from origin

Last Updated: 13 June 2022

Given a positive integer D, the task is to find the number of integer coordinates (x, y) which lie at a distance D from origin.Example:Input ...read more

Check if it is possible to reach the point (X, Y) using distances given in an array

Last Updated: 04 August 2022

Given an array arr[] consisting of N positive integers and two integers X and Y, the task is to check if it is possible to reach (X, Y) from ...read more

Check if it is possible to reach (X, Y) from origin such that in each ith move increment x or y coordinate with 3^i

Last Updated: 14 September 2021

Given two positive integers X and Y, the task is to find whether a point (X, Y) can be reached from the point (0, 0) such that in each ith m ...read more

Ratio of area of two nested polygons formed by connecting midpoints of sides of a regular N-sided polygon

Last Updated: 17 May 2021

Given an N-sided polygon, the task is to find the ratio of the area of the Nth to (N + 1)th N-sided regular nested polygons generated by joi...read more

Calculate area of a cyclic quadrilateral with given side lengths

Last Updated: 04 October 2021

Given four positive integers A, B, C, and D representing the length of sides of a Cyclic Quadrilateral, the task is to find the area of the ...read more

Calculate ratio of area of a triangle inscribed in an Ellipse and the triangle formed by corresponding points on auxiliary circle

Last Updated: 16 April 2021

Given two integers A and B representing the lengths of semi-major and semi-minor axes of an ellipse, the task is to calculate the ratio of a ...read more

Minimum area of the triangle formed by any tangent to an ellipse with the coordinate axes

Last Updated: 07 April 2021

Given two integers A and B, representing the length of the semi-major and semi-minor axis of an ellipse with the equation (x2 / A2) + (y2 / ...read more

Find interior angles for each side of a given Cyclic Quadrilateral

Last Updated: 21 April 2021

Given four positive integers A, B, C, and D representing the sides of a Cyclic Quadrilateral, the task is to find all the interior angles of...read more

Program to find the Excenters of a Triangle

Last Updated: 13 September 2022

Given six integers representing the vertices of a triangle, say A(x1, y1), B(x2, y2), and C(x3, y3), the task is to find the coordinates of ...read more

Technical Scripter 2020

Count pairs of coordinates connected by a line with slope in the range [-K, K]

Last Updated: 24 March 2021

Given an integer K, and two arrays X[] and Y[] both consisting of N integers, where (X[i], Y[i]) is a coordinate in a plane, the task is to ...read more

Area of largest isosceles triangle that can be inscribed in an Ellipse whose vertex coincides with one extremity of the major axis

Last Updated: 11 June 2021

Given an ellipse with half the major and minor axes length A B, the task is to find the area of the largest isosceles triangle that can be ...read more

Program to find the length of Latus Rectum of a Parabola

Last Updated: 22 September 2022

Given a, b, and c the coefficients of X2, X, and the constant term in the general equation of the parabola[Tex]y = a\times x^{2} + b\times x...read more

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