Videos
Discriminant of a Quadratic Equation and Nature of it's Roots.
396
Practice: Nature of Roots.
103
Irrational and Unequal Roots of a Quadratic Equation.
207
Rational and Distinct Roots of a Quadratic Equation.
95
Integral and Distinct Roots of a Quadratic Equation.
195
Practice: Nature of Roots of a Quadratic Equation.
112
Relation between Roots and Coefficients.
311
Additional Relations between Roots and Coefficients,
351
Roots and Zeros
220
Numbers of Roots of a Polynomial Equation
69
Difference between an Identity and an Equation
93
Converting an Equation into an Identity
196
Graph of y=x^2,
478
Graph of y=-x^2,
334
Relation between the graph of y=x^2 and y=-x^2,
82
Opening Upwards & Opening Downwards.
137
Nature of Graphs: a>0; D>0,
306
Properties for Graphs of Quadratic Equations for a>0; D>0,
44
Nature of Graphs: a>0; D=0,
250
Nature of Graphs: a>0; D<0,
93
Practice: Nature of Graphs of Quadratic Expressions for a>0,
149
Nature of Graphs: a<0; D>0,
157
Nature of Graphs: a<0; D=0,
82
Nature of Graphs: a<0; D=0,
278
Practice: Nature of Graphs of Quadratic Expressions for a<0,
50
Vertex of a Quadratic Polynomial,
119
Expression for Vertex of a Quadratic Expression,
381
Finding Vertex of a Quadratic Equation using Differentiation
239
y- Intercept of a Quadratic Polynomial,
133
Practice: Graphs of Quadratic Expression
47
Range of Quadratic Polynomial for a>0
313
Range of Quadratic Polynomial for a<0
183
Practice: Range of Quadratic Polynomial
517
"Location of Roots: Roots greater than a Real Number k "
332
"Location of Roots: Roots less than a Real Number k"
126
Extraneous Roots & Loss of roots
232
"Location of Roots: Real Number k lying between the Roots"
102
Practice: Location of Roots
98
"Location of Roots: Roots lying Between Two Numbers. "
339
Relation between Roots and Coefficients
424
"Location of Roots: k1 and k2 lie between the Roots"
109
"Location of Roots: Atleast one Root lie between k1 and k2"
173
"Location of Roots: Atleast one Root greater than k"
340
Practice: Location of Roots - II
103
Difference of roots
136
Transformation of Roots: α, β to 1/α, 1/β
141
Transformation of Roots: α, β to α^2, β^2
116
Transformation of Roots: α, β to √α, √β
164
Fundamental Theorem of Algebra
254
Descarte's Rule for Positive Roots
254
Descarte's Rule for Negative Roots
264
Practice: Descarte's Rule
88
"Relation Between Roots and Coefficients for Equations of degree 3"
268
"Relation Between Roots and Coefficients for Equations of degree 4"
232
"Relation Between Roots and Coefficients for Equations of degree 'n'"
419
Remainder Theorem
181
Factor Theorem
134