Quadratic Equations-Class10

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Quadratic Masterclass

By M.RajaRao.MSc.MEd

Visual Lab Question Bank Cheatsheet

Master Quadratic Equations

Explore the complete X-Class Question Bank. Understand the nature of roots, solve complex word problems, and visualize the parabolas behind the algebra.

Prepared by M.RajaRao.MSc.MEd

7 Marks Weightage Andhra Pradesh Board

🧪 Interactive Lab: The Discriminant Explorer

Adjust coefficients a, b, c to see how they change the graph of y = ax² + bx + c. Watch the Discriminant (D) determine the roots!

Coefficient a 1

Controls direction & width (cannot be 0)

Coefficient b -2

Controls horizontal position

Coefficient c -3

Controls vertical intercept (y-intercept)

Analysis

Equation: x² - 2x - 3 = 0

Discriminant (D): 16

Nature: Real & Distinct

Roots (x): 3, -1

The red line is y = 0 (The X-Axis). Points where the blue curve crosses red are the Roots.

Question Bank

Practice problems sourced directly from the provided materials. Filter by level or difficulty.

⚡ Essential Formula Reference

Standard Form

ax² + bx + c = 0

Where a, b, c are real numbers and a ≠ 0.

Quadratic Formula

x = -b ± √D2a

The universal method for finding roots.

Nature of Roots (D)

• D > 0: Real & Distinct
• D = 0: Real & Equal
• D < 0: Imaginary (No Real Roots)

Generated based on "Quadratic Equations 100" Question Bank.

Prepared by M.RajaRao.MSc.MEd

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