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  • 4 answers

Sia ? 6 years, 3 months ago

The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time.

Shreya Parikh 6 years, 3 months ago

But firstly u have to learn acceleration and retardation

Shreya Parikh 6 years, 3 months ago

Exactly as sia

Robinpreet Kaur 6 years, 3 months ago

Sia is right
  • 3 answers

Divya Garg 6 years, 3 months ago

(3tanx - tan^3x)/(1 - 3tan^2x)

English Maths 6 years, 3 months ago

sin5π\12 - sinπ\12 \cos5π\12 + cosπ\12

Harsh Mishra 6 years, 3 months ago

It is given in the summary of our NCERT book......

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Sia ? 6 years, 3 months ago

1, A1, A2, A3, ----- Am, 31 are in AP.
a = 1
an = 31

{tex}a _ { m + 2 } = 314{/tex}

an = a + (n - 1)d
31 = a + (m + 2 - 1)d

{tex}d = \frac { 30 } { m + 1 }{/tex}

{tex}\frac { A 7 } { A _ { n - 1 } } = \frac { 5 } { 9 }{/tex} (Given)

{tex}\frac { 1 + 7 \left( \frac { 30 } { m + 1 } \right) } { 1 + ( m - 1 ) \left( \frac { 30 } { m + 1 } \right) } = \frac { 5 } { 9 }{/tex}

m = 1

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Sangeeta Gupta 6 years, 1 month ago

Yes

Jheel Tippan 6 years, 3 months ago

R u asking for complex no.
  • 3 answers

Gaurav Seth 6 years, 4 months ago

uppose,

A={1,2,3,4,5,6}

B={2,4,6}

In this condition, every element in B is contained in A so,

B(A

But however, B is the set of even numbers and A is the set of natural numbers and thus they are very different in terms of n.

We write even number as 2n whereas natural number just n.

So, B doesn't belong to A.

Ayush Vishwakarma?? 6 years, 4 months ago

Agar aditi Angel mile th plzz contact with me

Rahul Raj 6 years, 4 months ago

1. "Belongs to".....if we say a belongs to A , it means a is itself an element of A or a is a member of A. 2."subset"......it is defined as part of a set.If we say set B is a subset of set A it means each element of B is a member of set A. Btt meanings r same nearly btt what is different in both......ex- if A ={1,2,3,4} then u can simply write 2 belongs to A btt to write as a subset u will have to write { 2} is a subset of A. ......well it is a nice question.it made think a little longer?? hope u will understand...
  • 4 answers

Iram Hasan Hasan 6 years, 3 months ago

A continuous product of natural numbers which can be arranged in order and the order is important.

Ayush Vishwakarma?? 6 years, 4 months ago

Changing of order of any object or things

Gaurav Seth 6 years, 4 months ago

Any of the ways we can arrange things, where the order is important.

Example: You want to visit the homes of three friends ("a"), ("b") and ("c"), but haven't decided in what order. What choices do you have?

Answer: {a,b,c} {a,c,b} {b,a,c} {b,c,a} {c,a,b} {c,b,a} 

Navneet Singh 6 years, 4 months ago

All formula chpater 3
  • 1 answers

Sia ? 6 years, 4 months ago

Let P(n) = a + ar + ar2 + ..... + arn-1{tex} = \frac{{a({r^n} - 1)}}{{r - 1}}{/tex}.
For n = 1
{tex}P(1) = a{r^{1 - 1}} = \frac{{a({r^1} - 1)}}{{r - 1}} \Rightarrow a = a{/tex}
{tex}\therefore {/tex} P(1) is true
Let P(n) be true for n = k
{tex}\therefore P(k) = a + ar + a{r^2} + .... + a{r^{k - 1}}{/tex}{tex} = \frac{{a({r^k} - 1)}}{{r - 1}}{/tex} .... (i)
For n = k + 1
R.H.S. {tex} = \frac{{a({r^{k + 1}} - 1)}}{{r - 1}}{/tex}
L.H.S. {tex} = \frac{{a({r^k} - 1)}}{{r - 1}} + a{r^k}{/tex} [ Using (i)]
{tex} = \frac{{a{r^k}}}{{r - 1}} - \frac{a}{{r - 1}} + a{r^k}{/tex}
{tex} = a{r^k} \cdot \left( {\frac{1}{{r - 1}}+1} \right) - \frac{a}{{r - 1}} = \frac{{a{r^{k + 1}}}}{{r - 1}} - \frac{a}{{r - 1}}{/tex}{tex} = \frac{{a{r^{k + 1}} - a}}{{r - 1}}{/tex}
{tex} = \frac{{a({r^{k + 1}} - 1)}}{{r - 1}}{/tex}
{tex}\therefore {/tex} P(k + 1) is true
Thus P(k) is true {tex} \Rightarrow {/tex} P(k + 1) is true
Hence by principle of mathematical induction, P(n) is true for all {tex}n \in N{/tex}.

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Nitin Tiwari 6 years, 4 months ago

Taking RHS side Sin2x sin10x Sin(6x-4x) sin(6x+4x) (Sin6xcos4x - cos6xsin4x)(sin6xcos4x+cos6xsin4x) : (since-sin(A+B)=sinAcosB+sinBcosA)(sin(A+B)=sinAcosB- sinBcosA) Sin^2(6x)cos^2(4x) - cos^2(6x)sin^2(4x) Sin^2(6x)(1 - sin^2(4x)) - (1 - sin^2(6x))sin^2(4x) Sin^2(6x) - sin^2(4x)sin^2(4x) - sin^2(4x) + sin^2(6x )sin^2(4x) Sin^2(6x) - sin^2(4x) Hence . Proved

Tripti Verma 6 years, 4 months ago

Thank you?

Rahul Raj 6 years, 4 months ago

LHS= sin(6x-4x)sin(6x+4x) =sin2xsin10x = RHS
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Kala Babu 6 years, 3 months ago

Hemant kumar wrong answer

Hemant Kumar 6 years, 4 months ago

Sin.cot98*2cosec/17tan
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Yash Goswami????? 6 years, 4 months ago

Bro just solve rd sharma and u will get all types of questions of complex no.s
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Bhawna Sangwan 6 years, 4 months ago

The set which has no element

Kéśhřî Kíñğ 6 years, 4 months ago

Those set which have no element
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Gaurav Seth 6 years, 4 months ago

 

NCERT Solutions class-11 Maths Exercise 2.3

Question : 

2. Find the domain and range of the following real functions:

(ii) 

Explanation is given below:

(ii) Given: .

The function is not defined when 

Domain of function = 

 = 

Range of function = 

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Gaurav Seth 6 years, 4 months ago

Let be the third reading of the pH level.

The acidity of the pool is normal when the average pH reading measurements is between 7.2 and 7.8

The first two measurements are 7.48 and 7.85

The average

 

Similarly,

The average

 

Thus the range third reading of the acidity of the pool should be

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