CBSE Class 8/9/10 - Mathematics - Typical Factorisation Solved Problems (#class8Maths)(#cbsenotes)(#eduvictors)

Typical Factorisation Solved Problems

Class 8/9/10 - Mathematics

Q1: Factorise x⁴ + x² + 1

Answer: x⁴ + x² + 1

= (x⁴ + 2x² + 1) - x²

Using identity (A + B)² = A² + B² + 2AB

= (x² + 1)² - x²

Using identity A² - B² = (A + B)(A - B)

= (x² + 1 + x)(x² + 1 - x) [Answer]

CBSE Class 9 - Mathematics Pre-Olympiad Question Paper (2018-19) (#cbsepapers)(#eduvictors)

CBSE Class 9 - Mathematics
 Pre-Olympiad Question Paper
 (2018-19) 

Getting good marks is very important for students of class 9. For this one must practice and attempt sample question papers within time limits.

Here follows a sample question paper on Mathematics subject to assess your knowledge about the subject.

For studying you may refer following help guides:

1. CBSE Maths Sample Question Papers Oswal Series

2. IIT foundation Maths Class 9 Practice

CBSE Class 9 - Mathematics Annual Sample Question Paper (Set-2) (2018-19) (#cbsepapers)(#eduvictors)

CBSE Class 9 - Mathematics
 Annual Sample Question Paper (Set-2)
 (2018-19) 

Getting good marks is very important for students of class 9. For this one must practice and attempt sample question papers within time limits.

Here follows a sample question paper on Mathematics subject to assess your knowledge about the subject.

For studying you may refer following help guides:

1. CBSE Maths Sample Question Papers Oswal Series

2. IIT foundation Maths Class 9 Practice

CBSE Class 9 - Mathematics Annual Sample Question Paper (Set-1) (2018-19) (#class9maths)(#eduvictors)

CBSE Class 9 - Mathematics
 Annual Sample Question Paper (Set-1)
 (2018-19) 

Getting good marks is very important for students of class 10. For this one must practice and attempt sample question papers within time limits.

Here follows a sample question paper on Mathematics subject to assess your knowledge about the subject.

For studying you may refer following help guides:

1. CBSE Maths Sample Question Papers Oswal Series

2. IIT foundation Maths Class 9 Practice

CBSE Class 9 - Mathematics Annual Sample Question Paper (Set-2) (2017-18) (#cbsepapers)(#eduvictors)

CBSE Class 9 - Mathematics
 Annual Sample Question Paper (Set-2)
 (2017-18) 

Getting good marks is very important for students of class 9. For this one must practice and attempt sample question papers within time limits.

Here follows a sample question paper on Mathematics subject to assess your knowledge about the subject.

For studying you may refer following help guides:

1. Pearson Class 9 Maths IIT Foundation 

CBSE Class 9 - Mathematics Annual Sample Question Paper (Set-1) (2017-18) (#class9mathspapers)(#eduvictors)

CBSE Class 9 - Mathematics
 Annual Sample Question Paper (Set-1)
 (2017-18) 

Getting good marks is very important for students of class 9. For this one must practice and attempt sample question papers within time limits.

Here follows a sample question paper on Mathematics subject to assess your knowledge about the subject.

For studying you may refer following help guides:

1. Pearson Class 9 Maths IIT Foundation 

CBSE Class 8 - Mathematics - Types of Quadrilaterals (Worksheet) (#cbsenotes)(#eduvictors)

Mathematics - Types of Quadrilaterals 

(Worksheet)

Fill in the blanks.

1. A quadrilateral with all angles 90° is either a _______ or a _________.

2. In a parallelogram opposite angles are ______.

3. In a parallelogram adjacent angles are ______.

4. A quadrilateral with all sides equal is either a _______ or a ________.

5. A square is a rectangle in which ______________________________.

Book For Serious Mathematics Readers - Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace

Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace

Must Read Book For Mathematics Students and Teachers

Euclid's Window - Buy Ebook or Hard Copy

Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space in the living room or in some other galaxy have been the hidden engine of the highest achievements in science and technology.

Mlodinow reveals how geometry's first revolution began with a "little" scheme hatched by Pythagoras: the invention of a system of abstract rules that could model the universe. That modest idea was the basis of scientific civilization. But further advance was halted when the Western mind nodded off into the Dark Ages. Finally in the fourteenth century an obscure bishop in France invented the graph and heralded the next revolution: the marriage of geometry and number. Then, while intrepid mariners were sailing back and forth across the Atlantic to the New World, a fifteen-year-old genius realized that, like the earth's surface, space could be curved. Could parallel lines really meet? Could the angles of a triangle really add up to more or less than 180 degrees? The curved-space revolution reinvented both mathematics and physics; it also set the stage for a patent office clerk named Einstein to add time to the dimensions of space. His great geometric revolution ushered in the modern era of physics.

CBSE Class 9 - Maths - Half Yearly Sample Question Paper - (2018-19)(#cbsepapers)(#eduvictors)

CBSE Class 9 - Maths
 - Half Yearly Sample
Question Paper - (2018-19)

CBSE Class 9 - Maths - Mid-Term Sample Question Paper - (2018-19)(#cbsepapers)(#eduvictors)

CBSE Class 9 - Maths
 - Mid-Term Sample
Question Paper - (2018-19)

Class 7 - Maths - Lines and Angles (Worksheet) (#cbsenotes)(#eduvictors)

Lines and Angles (Worksheet)

Directions: Fill in the blanks to make the statements true.


1. If sum of measures of two angles is 90°, then the angles are _________.

3. If the sum of measures of two angles is 180°, then they are _________.

3. A transversal intersects two or more than two lines at _________ points.

CBSE Class 9 - Maths - Introduction To Euclid's Geometry - Axioms, Theorem and Other terms (#cbsenotes)(#eduvictors)

Introduction To Euclid's Geometry - Axioms, Theorem and Other terms

(Note: Following list is compiled from a very old book 'Elements of Geometry by Ledegenre' and other NCERT textbooks)

Important terms to remember:

1. An axiom is a self-evident proposition (an assumption which is a self-evident truth).

2. A theorem is a truth, which becomes evident by means of a train of reasoning called a demonstration or proof. Theorems are proved, using axioms, previously proved statements and deductive reasoning.

3. A problem is a question proposed, which requires a solution.

4. A lemma is a subsidiary truth, employed for the demonstration/proof of a theorem, or the solution of a problem.

Class 9 - Mathematics - Ten Parallelogram Theorems You Must Know (#cbsenotes)(#eduvictors)

10 Parallelogram Theorems - You Must Know

Theorem 1: A diagonal of a parallelogram divides it into two congruent triangles.

See proof here. 

Theorem 2: In a parallelogram, opposite sides are equal.
See proof here. 

Theorem 3: If each pair of opposite sides of a quadrilateral is equal, then it is a parallelogram.
See proof here. 

Theorem 4: In a parallelogram, opposite angles are equal
See proof here. 

CBSE Class 9 - Lines and Angles - Brain Teaser (#cbsenotes)(#eduvictors)

Lines and Angles - Brain Teaser

Q: What is the measure of ∠A + ∠B + ∠C + ∠D + ∠E  in the figure given below, assuming no angles and sides are equal. Give reason to your answer.

Answer:

CBSE Class 9 - Maths - Chapter 7 - Triangles (Worksheet) (#eduvictors)(#cbseNotes)

Triangles (Worksheet)

Fill in the blanks

⑴ Two figures are _________, if they are of same shape and same size.


⑵ If two triangles ABC and XYZ are congruent under the correspondence A ↔ Y, B ↔ X and
C ↔ Z, then symbolically,  △ABC ≊ _________.


⑶ If two sides and the included angle of one triangle are equal to two sides and the included angle of the other triangle, then the two triangles are congruent. It is called ________________ rule.


⑷ If two angles and the included side of one triangle are equal to two angles and the side of the other triangle, then the two triangles are congruent. It is called ____________ rule.

CBSE Class 9 - Maths - Chapter 10 - Circles - Important Terms You Should Know (#cbseNotes)

Chapter 10 - Circles - Important Terms You Should Know

1. A circle is a collection (set) of all those points in a plane, each one of which is at a constant distance from a fixed point in the plane.


2. The fixed point is called the centre and the constant distance is called the radius of the circle.

3. All the points lying inside a circle are called its interior points and all those points which lie outside the circle are called its exterior points.

4. The collection (set) of all interior points of a circle is called the interior of the circle while the collection of all exterior points of a circle is called the exterior of the circle.

5. A line segment joining two points on a circle is called the chord of the circle.

CBSE Class 9 - Maths - Half Yearly Examination Paper - (2017-18) (#cbsePapers)

CBSE Class 9 - Maths - Half Yearly
Examination Paper - (2017-18)

CBSE Class 9 - Maths - Mid Term Examination Paper - (2017-18) (#cbseNotes)

CBSE Class 9 - Maths - Mid Term
Examination Paper - (2017-18)

CBSE Class 9 - Maths - Chapter 10 - CIRCLES - NCERT Exercise 10.1 (#cbseNotes)

Chapter 10 - CIRCLES -
NCERT Exercise 10.1

Question 1: Fill in the blanks

(i) The centre of a circle lies in __________ of the circle. (exterior/ interior)

(ii) A point, whose distance from the centre of a circle is greater than its radius lies in __________ of the circle. (exterior/ interior)

(iii) The longest chord of a circle is a __________ of the circle.

(iv) An arc is a __________ when its ends are the ends of a diameter.

(v) Segment of a circle is the region between an arc and __________ of the circle.

(vi) A circle divides the plane, on which it lies, in __________ parts.


Answer:
(i) The centre of a circle lies in interior of the circle.

Maths Pearls - What is so special about Srinivasa Ramanujan's Magic Square? (#cbseNotes)

What is so special about Srinivasa Ramanujan's Magic Square?

You may be familiar with magic squares. Srinivasa Ramanujan also designed his own magic square.

This magic square looks similar to any other square. What is so special about it?


Sum of any rows is 139