MATHS 🧮 LAB 🔬
If a quadratic has equal roots, its graph touches the x-axis at exactly one point.
True. If a quadratic equation has equal roots (i.e., its discriminant D = b²-4ac = 0), the vertex of its parabolic graph lies directly on the x-axis. This means the parabola touches or "bounces" off the x-axis at exactly one point (the root), rather than crossing it at two points.
@edmathlab
@edmathlab
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MATHS 🧮 LAB 🔬
True. If a quadratic equation has equal roots (i.e., its discriminant D = b²-4ac = 0), the vertex of its parabolic graph lies directly on the x-axis. This means the parabola touches or "bounces" off the x-axis at exactly one point (the root), rather than crossing…
Let's learn for other roots as well
Distinct real roots ( D > 0): Graph crosses the x-axis at two points.
No real roots ( D < 0): Graph does not intersect the x-axis.
@edmathlab
Distinct real roots ( D > 0): Graph crosses the x-axis at two points.
No real roots ( D < 0): Graph does not intersect the x-axis.
@edmathlab
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MATHS 🧮 LAB 🔬
The minimum or maximum of a quadratic occurs at its vertex
True.
The minimum or maximum value of a quadratic function (a parabola) always occurs at its vertex.
If the parabola opens upward (a > 0 ), the vertex is the minimum point.
If the parabola opens downward (a < 0), the vertex is the maximum point.
The vertex acts as the turning point of the graph, and its y-coordinate represents the maximum or minimum value of the function.
@edmathlab
The minimum or maximum value of a quadratic function (a parabola) always occurs at its vertex.
If the parabola opens upward (a > 0 ), the vertex is the minimum point.
If the parabola opens downward (a < 0), the vertex is the maximum point.
The vertex acts as the turning point of the graph, and its y-coordinate represents the maximum or minimum value of the function.
@edmathlab
👏1
MATHS 🧮 LAB 🔬
Parallel lines never meet in Euclidean geometry.
True. In Euclidean geometry, parallel lines are defined as straight lines in a plane that never intersect or meet, regardless of how far they are extended in either direction. This is based on Euclid's Parallel Postulate, which serves as a foundational axiom of the system.
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Yes Ramanujan one of India's Greatest Mathematician 😌❤️
Want to know more about him?
Watch The Man who knew Infinity 😌❤️
@edmathlab
Want to know more about him?
Watch The Man who knew Infinity 😌❤️
@edmathlab
God willing tomorrow we will be having quiz on conventions 😌👍
@edmathlab
@edmathlab
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