Quadratic Equations

Column Graphs

A column graph refers to the pictorial representation of numerical data. That can be in the form of bars or rectangles of equal width but varying heights. It is also called the bar graph. The rectangles of column graphs are drawn either vertically or horizontally. Moreover, the space between them is kept equal. The length […]

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Class 11, Graph of a quadratic function, IIT JEE, Maths, Quadratic Equations

Conditions for Minimum and Maximum Value of Parabola

The vertex (h, k) is indeed the lowest point on parabola if it opens up. The smallest functional or absolute minimum value of f is referred to as k. When x Equals h, this happens. k is the highest functional or absolute maximum value of f when the parabola opens down, and it happens at x

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Class 11, Graph of a quadratic function, IIT JEE, Maths, Quadratic Equations

Contrapositive Statements

Introduction: The intersection of lines is when two or more lines cross in a plane. Each intersecting line converges on a single point called the point of intersection, which can be found on all intersecting lines. Only if the lines are not parallel will they intersect. A road cross, a folding chair, a signboard, and

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Class 11, Graph of a quadratic function, IIT JEE, Maths, Quadratic Equations

Degenerate and Non-Degenerate Conics

When a plane intersects the surface of a cone, curves are formed by the points of intersection called conic sections or conics. Second-degree polynomial equations define the curves. Based on the equation, the conics are degenerate conics or non-degenerate conics. The types of curves formed to give the three types of conics, the hyperbola, the

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Class 11, Graph of a quadratic function, IIT JEE, Maths, Quadratic Equations

Eccentric Angle and Auxiliary Circle of an Ellipse

Here we will discuss the terms related to an eccentric angle and auxiliary circle of an ellipse. In simple words, when there is an interaction of the cone at the point angle while considering its base, it is known as an ellipse. A particular type of circle is the ellipse. Whereas, when we see the

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Class 11, Graph of a quadratic function, IIT JEE, Maths, Quadratic Equations

Equation of circle under different conditions

What is a circle? A circle can be defined as the collection of points equidistant from another point. A circle can also be seen as an ellipse with its eccentricity being zero. A circle is a 2 dimensional figure and we can represent it using an equation in the cartesian coordinate system and other orthogonal

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Class 11, Graph of a quadratic function, IIT JEE, Maths, Quadratic Equations

Equation Of Conic Sections

An equation of a conic section can be defined as a mathematical curve which has a set of points P, the distance of which from the focus remains a constant integral or rational or real multiple of the distance from P to what is called as the directrix of that conic. The parabola, hyperbola, ellipses,

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Class 11, Graph of a quadratic function, IIT JEE, Maths, Quadratic Equations