22
Sep
Proof | Integers are infinitely many
Theorem: Prove that there are infinitely many integers. Proof is quite easy. You can watch video tutorial of proof as well.
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22
Sep
Mean method : Infinitely many rational numbers between any two rational numbers
Concept: In this tutorial, you will learn that there are infinitely many rational numbers between any two rational numbers. There are multiple ways to learn it and I have taught by calculating the mean (average) of two numbers. Rational numbers…
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21
Sep
Class 9 | Chapter 2 | Polynomials | Factorisation by splitting the middle term
Factorisation of quadratic polynomial ax2 + bx + c by splitting the middle term. Basics of polynomials Algebraic Identities Prerequisite Factorisation of quadratic polynomials is a very easy task. You must be aware of the basics of polynomials before you…
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21
Sep
Class 9 | Chapter 2 | Polynomials | Exercise 2.4 | Question 5
Question 5: Factorise : (i) x3 – 2×2 – x + 2 (ii) x3 – 3×2 – 9x – 5 (iii) x3 + 13×2 + 32x + 20 (iv) 2y3 + y2 – 2y – 1 Question 4 Ex: 2.5 | Question 1 Prerequisite…
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21
Sep
Class 9 | Chapter 2 | Polynomials | Exercise 2.4 | Question 4
Question 4: Factorise : (i) 12×2 – 7x + 1 (ii) 2×2 + 7x + 3 (iii) 6×2 + 5x – 6 (iv) 3×2 – x – 4 Question 3 Question 5 Prerequisite Factorisation of a 2 degree polynomial (quadratic polynomial) is one of…
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21
Sep
Class 9 | Chapter 2 | Polynomials | Exercise 2.4 | Question 3
Question 3: Find the value of k, if x – 1 is a factor of p(x) in each of the following cases: (i) p(x) = x2 + x + k (ii) p(x) = 2×2 + kx + √2 (iii) p(x)…
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21
Sep
Class 9 | Chapter 2 | Polynomials | Exercise 2.4 | Question 2
Question 2: Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i) p(x) = 2×3 + x2 – 2x – 1, g(x) = x + 1 (ii) p(x) = x3 +…
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21
Sep
Class 9 | Chapter 2 | Polynomials | Exercise 2.4 | Question 1
Question 1: Determine which of the following polynomials has (x + 1) a factor : (i) x3 + x2 + x + 1 (ii) x4 + x3 + x2 + x + 1 (iii) x4 + 3×3 + 3×2 + x + 1…
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16
Sep
Class 9 | Chapter 7 | Triangles | Example 9
Example 9: D is a point on side BC of ∆ ABC such that AD = AC (see Fig. 7.47). Show that AB > AD. Example 8 Class 9 | Home
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16
Sep
Class 9 | Chapter 7 | Triangles | Example 8
Example 8: P is a point equidistant from two lines l and m intersecting at point A (see Fig. 7.38). Show that the line AP bisects the angle between them. Example 7 Example 9
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