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Yogita Ingle 4 years, 6 months ago
for 12 elements , possible orders are 1 × 12, 2 × 6, 3 × 4 , 4 × 3 and 12 × 1.
for 7 elts. possible orders are only 1 × 7 and 7 × 1
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Gaurav Seth 4 years, 6 months ago
y = Sec ( Tan √x )
dy/dx = Sec ( Tan √x ) Tan ( Tan√x ) Sec² √x ( 1/ 2√x )
[Sec ( Tan √x ) Tan ( Tan√x ) Sec² √x ]/ 2√x
The same result implies for using logarithmic functions on both the sides ,
But it'll increase the payloads , hence , using Chain rule only
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Gaurav Seth 4 years, 6 months ago
R = {(a, b) : 2 divides a – b}
where R is in the set Z of integers.
(i) a – a = 0 = 2 .0
∴ 2 divides a – a ⇒ (a, a) ∈ R ⇒ R is reflexive.
(ii) Let (a, a) ∈ R ∴ 2 divides a – b ⇒ a – b = 2 n for some n ∈ Z ⇒ b – a = 2 (–n)
⇒ 2 divides b – a ⇒ (b. a) ∈ R
(a, ft) G R ⇒ (b, a) ∈ R ∴ R is symmetric.
(iii) Let (a, b) and (b, c) ∈ R
2 divides a – b and b – c both ∴ a – b = 2 n1 and b – c = 2 n2 for some n1, n2 ∈ Z ∴ (a – b) + (b – c)= 2 n1 + 2 n2 ⇒ a – c = 2 (n1 + n2 )
⇒ 2 divides a – c
⇒ (a, c) ∈ R
∴ (a,b), (b,c) ∈ R ⇒ (a, c) ∈ R
∴ R is transitive
From (i), (ii), (iii) it follows that R is an equivalence relation.
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Gaurav Seth 4 years, 6 months ago
1. Understand the contents and weightage of the syllabus
2. Preparation from NCERT textbooks is the most important part
Though supplementary books may be used as references, the NCERT textbooks offer an exhaustive range of exercise questions and solved examples on every topic, which is more than enough to do well in your board examinations.
3. Strategize and THEN prepare!
The long form questions (5-6 marks), which are the most feared aspect of a paper, usually come from one of the following sections:
The aforementioned topics are practice-based and the best way to gain perfection in them is to practice and solve more and more problems on them. Then,
These topics don’t require additional practice beyond the ones you have covered in your NCERT textbooks.
In linear programming, a 5-mark question comes from this chapter, which can be dealt with through little practice of understanding the questions and writing the linear equations.
4. Practice sample papers and previous years’ papers
5. Say goodbye to rote learning!
6. Presentation is very important
7. Time management
5Thank You