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Conic Sections - MAQ

14 posts

Last Updated: 23 July 2025

Latus rectum is a crucial concept in the study of conic sections, such as parabolas, ellipses, and hyperbolas. The name latus rectum comes from the Latin words “latus” mea...read more

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School Learning

Conic Sections - MAQ

Eccentricity Formula of Circle, Parabola, Ellipse, Hyperbola

Last Updated: 23 July 2025

Eccentricity is a non-negative real number that describes the shape of a conic section. It measures how much a conic section deviates from being circular. Generally, eccen...read more

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Geeks Premier League

Conic Sections - MAQ

Geeks Premier League 2023

Use Trigonometric Substitution and Trigonometric Identity to determine the Circumference of a Circle of Radius 3.

Last Updated: 25 December 2023

When any two-dimensional or three-dimensional plane is being intersected and cut then there are curves obtained, which are known as conic sections. In the case of a cone, ...read more

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School Learning

Conic Sections - MAQ

Parabola in Maths

Last Updated: 08 May 2026

A parabola is a U-shaped symmetric curve defined as the set of all points that are equidistant from a fixed point called the focus and a fixed line called the directrix. I...read more

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Coordinate Geometry

Conic Sections - MAQ

How to Find Equation of an Ellipse given the Center and Two Points?

Last Updated: 01 June 2026

Answer: The standard equation of the ellipse whose centre is (h, k) is, \dfrac{(x-h)^2}{a^2}~+~\dfrac{(y-k)^2}{b^2}~=~1Explanation:A conic section can be defined as the se...read more

School Learning

Conic Sections - MAQ

Find the angle of rotation of axes to remove xy term in the equation 9x<sup>2</sup> − 2√3xy + 3y<sup>2</sup> = 0

Last Updated: 16 February 2022

When a plane intersects a cone, conic sections, also known as conics, are created. The geometry of these sections is determined by the angle at which they cross. As a resu...read more

School Learning

Conic Sections - MAQ

Convert r sin θ = 4 to Rectangular Form

Last Updated: 31 January 2024

A conic section is the branch of Mathematics, which deals with the study of curves formed by the intersection of a cone with a plane. The intersection between the cone and...read more

School Learning

Conic Sections - MAQ

Minimize f (x, y) = x<sup>2</sup> + y<sup>2</sup> on the hyperbola xy = 5

Last Updated: 23 July 2025

The minimum value of the function f(x,y) = x2 + y2 on the hyperbola xy = 5 is 10. The detailed solution for the same is added below:Minimize f (x, y) = x2 + y2 on the hype...read more

School Learning

Conic Sections - MAQ

Find the equation for the ellipse with center at (0,4), focus at (8,4), and vertex at (6, 7)

Last Updated: 15 February 2023

Conic sections, commonly known as conics, are created when a plane intersects a cone. The angle at which these sections intersect determines their geometry. Conic sections...read more

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School Learning

Conic Sections - MAQ

How to find the equation of an ellipse given the foci and minor axis?

Last Updated: 09 August 2024

Answer: To find the equation of an ellipse, we need the values a and b. Now, we are given the foci (c) and the minor axis (b). To calculate a, use the formula c2 = a2 – b2...read more

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School Learning

Conic Sections - MAQ

How to find the equation of an ellipse with foci and points?

Last Updated: 06 March 2023

When a plane crosses a cone, conic sections, also known as conics, are created. The geometry of these sections is determined by the angle at which they cross. As a result,...read more

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School Learning

Conic Sections - MAQ

Complete the square and write the equation of the circle in standard form x<sup>2</sup> + y<sup>2</sup> + 10x - 10y +41 = 0

Last Updated: 01 July 2024

Given equation of circle: x2 + y2 + 10x - 10y + 41 = 0 in standard form is (x + 5)2 + (y - 5)2 = 9, the detailed solution for the same is added below.Complete the Square a...read more

School Learning

Conic Sections - MAQ

Write the equation of the circle in standard form x<sup>2</sup> + y<sup>2</sup> - 8x + 6y + 9 = 0

Last Updated: 01 July 2024

Given equation of circle: x2 + y2 - 8x + 6y + 9 = 0, in standard form it is represented as: (x - 4)2 + (y + 3)2 = 16. The detailed solution for finding the same is added b...read more

School Learning

Conic Sections - MAQ

Find an equation for a horizontal ellipse with major axis that's 50 units and a minor axis that's 20 units

Last Updated: 23 July 2025

Conic sections also referred to as conics, are formed when a plane intersects a cone. The shape of such sections depends upon the angle at which the intersection happens. ...read more

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Conic Sections - MAQ