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Aditya Sharma 6 years, 9 months ago

step 1 p(n) = 1 1 (1+1) = 1 x 2 = 2 p (1) is true step 2 let p(k) = k (k+1) = 2 z where z is a natural no. be true k2 + k =2 z k2 = 2 z - k - 1 step 3 p(k+1) = k+1(k +1 +1) is true we have to prove this (k+1)( k+2) = k2 + 3 k + 2 2 z - k +3 k +2 = 2 z + 2 k + 2 - by 1 2[ z +k + 1] it will be a even no. which means that p(k+1) is true
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Ovais Dar 6 years, 9 months ago

4x+3 <6x+7 4x+3-3 <6x+7-3 4x<6x+4 4x-6x <6x-6x+4 -2x <4 -2x÷2 <4÷2 -x <2 X>2
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Gaurav Seth 6 years, 9 months ago

Natural odd no:s forms an A.P

1,3,5,7 ....

a = 1 , d = 2

Sn = n/2 [ 2a + [n-1]d ]
 
      = n/2 [ 2 + 2n - 2 ] 
       
     = n/2 [ 2n ]
     
     = n²

Sum of n natural odd no:s = n²

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  • 5 answers

Aditya Sharma 6 years, 9 months ago

ku ni...

J K 6 years, 9 months ago

If u r interested

Unknown Guy 6 years, 9 months ago

Iife barbad ho jaygi

Abhinav Yadav 6 years, 9 months ago

According to your interest

Navjeet Singn 6 years, 9 months ago

Afcourse
  • 1 answers

Rajib Borah 6 years, 9 months ago

12256
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  • 1 answers

Prakash Roy 6 years, 9 months ago

It can only be learnt by studying the theory part, only some formulas are there in that chapter. So study the Sets chapter by learning the definitions. I hope you can get good marks from that chapters when you study like this. Thanks [Prakash Roy]...!!!
  • 1 answers

Prakash Roy 6 years, 9 months ago

You will get the answer by using the calculator and you know how to calculate it by writing it by drawing a table and calculate it. If you don't know how to calculate, you can prefer the internet browser for your answer. I hope you are clear. THANKS
  • 1 answers

Lohit Hazarika 6 years, 9 months ago

No ; Because 3!=3.2.1=6 And 4!=4.3.2.1=24 ;3!+4!=6+24=30 But 7!=7.6.5.4.3.2.1=5040 ;
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Satyam Salunkhe 6 years, 9 months ago

Yes
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Gaurav Seth 6 years, 9 months ago

Prime factorising 98

{tex}sqrt(98) = sqrt(2*7*7){/tex}

{tex}= sqrt(7^2 *2){/tex}

=7√2

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Sagar Pandya 6 years, 9 months ago

Marks of science + maths should be 175/200 or above and percentage should be 75+

Komal Dabber 6 years, 9 months ago

Above 70%

Arsh Khan 6 years, 9 months ago

65 %
  • 1 answers

Satyam Salunkhe 6 years, 9 months ago

√65=8.7 (approximately)
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Gaurav Seth 6 years, 9 months ago

You Can split 31 pi /3,
Sin(10 pi+pi/3)
=sin pi/3
=sin60
We know sin 60= √3/2

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