Bakhtawar Pur, Delhi, India - 110036

## A TEACHER AS FRIEND

Bakhtawar Pur, Delhi, India- 110036.

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Education

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## Overview

I worked in this profession for 10 years. I am feeling proud to be as Teacher. I am one who have the responsibility of the making one's future.This is my promise that I will not let you down.

## Languages Spoken

Hindi Mother Tongue (Native)

## Education

MJK Collage 1994

Bakhtawar Pur, Delhi, India - 110036

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## Demo Class

No

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## Class 9 Tuition Overview

Class 9 Tuition

Class Location

Student's Home

Tutor's Home

Online (video chat via skype, google hangout etc)

Years of Experience in Class 9 Tuition

4

Board

CBSE

CBSE Subjects taught

Mathematics, Science, English

Taught in School or College

No

## Reviews

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No corporation to the British which was rule to the India. Many Indian was stop British job. Mahatama Ghandhi led this movement.
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No corporation with the British who rule India. Many Indian stopped going to their British jobs. Mahatama Ghandhi led this movement.
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Given equation is: (c 2 – ab) x 2 – 2 (a 2 – bc) x + (b 2 – ac) = 0 To prove: a = 0 or a 3 + b 3 + c 3 = 3abc Proof: From the given equation, we have a = (c2 – ab) b = –2 (a 2 – bc) c = (b 2 – ac) It is being given that equation has real and equal roots ∴... ...more

Given equation is:

(c 2 – abx 2 – 2 (a 2 – bcx + (b – ac) = 0

To prove: a = 0 or a 3 + b 3 + c 3 = 3abc

Proof: From the given equation, we have

a = (c2 – ab)

b = –2 (a 2 – bc)

c = (b 2 – ac)

It is being given that equation has real and equal roots

∴ D = 0

⇒ b 2 – 4ac = 0

On substituting respective values of ab and c in above equation, we get

[–2 (a 2 – bc)]2 – 4 (c 2 – ab) (b 2 – ac) = 0

4 (a 2 – bc)2 – 4 (c 2 b 2 – ac 3 – ab 3 + a 2 bc) = 0

4 (a 4 + b 2 c 2 – 2a 2 bc) – 4 (c 2 b 2 – ac 3 – ab 3 + a 2 bc) = 0

⇒ a 4 + b 2 c 2 – 2a 2 bc – b 2 c 2 + ac 3 + ab 3 – a 2 bc = 0

⇒ a 4 + ab 3 + ac 3 –3a 2 bc = 0

⇒ a [a 3 + b 3 + c 3 – 3abc] = 0

a = 0 or a 3 + b 3 + c 3 = 3abc

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A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same... ...more
A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/hr more. Find the original speed of the train.

Let original speed of train = x km/h We know, Time = distance/speed First case: Time taken by train = 360/x hour Second case: Time taken by train its speed increase 5 km/h = 360/(x + 5) Time taken by train in first - time taken by train in 2nd case = 48 min = 48/60 hour 360/x - 360/(x +5) = 48/60... ...more

Let original speed of train = x km/h

We know,

Time = distance/speed

First case:

Time taken by train = 360/x hour

Second case:

Time taken by train its speed increase 5 km/h = 360/(x + 5)

Time taken by train in first - time taken by train in 2nd case = 48 min = 48/60 hour

360/x - 360/(x +5) = 48/60 = 4/5

360 {1/x - 1/(x +5)} = 4/5

360 ×5/4 {5/(x²+5x)}=1

450 x 5 = x² + 5x

x²+5x - 2250 = 0

x = {-5±√(25+9000)}/2

= (-5 ±√(9025))/2

=(-5 ± 95)/2

= -50, 45

But x ≠ -50 because speed doesn't negative,

So, x = 45 km/h

Hence, original speed of train = 45 km/h

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Class 9 Tuition

Class Location

Student's Home

Tutor's Home

Online (video chat via skype, google hangout etc)

Years of Experience in Class 9 Tuition

4

Board

CBSE

CBSE Subjects taught

Mathematics, Science, English

Taught in School or College

No

Class 10 Tuition

Class Location

Student's Home

Tutor's Home

Online (video chat via skype, google hangout etc)

Years of Experience in Class 10 Tuition

4

Board

CBSE

CBSE Subjects taught

Mathematics, Science, English

Taught in School or College

No

this is test message this is test message this is test message this is test message this is test message this is test message this is test message

No Reviews yet! Be the first one to Review

No corporation to the British which was rule to the India. Many Indian was stop British job. Mahatama Ghandhi led this movement.
Dislike Bookmark

No corporation with the British who rule India. Many Indian stopped going to their British jobs. Mahatama Ghandhi led this movement.
Dislike Bookmark

Given equation is: (c 2 – ab) x 2 – 2 (a 2 – bc) x + (b 2 – ac) = 0 To prove: a = 0 or a 3 + b 3 + c 3 = 3abc Proof: From the given equation, we have a = (c2 – ab) b = –2 (a 2 – bc) c = (b 2 – ac) It is being given that equation has real and equal roots ∴... ...more

Given equation is:

(c 2 – abx 2 – 2 (a 2 – bcx + (b – ac) = 0

To prove: a = 0 or a 3 + b 3 + c 3 = 3abc

Proof: From the given equation, we have

a = (c2 – ab)

b = –2 (a 2 – bc)

c = (b 2 – ac)

It is being given that equation has real and equal roots

∴ D = 0

⇒ b 2 – 4ac = 0

On substituting respective values of ab and c in above equation, we get

[–2 (a 2 – bc)]2 – 4 (c 2 – ab) (b 2 – ac) = 0

4 (a 2 – bc)2 – 4 (c 2 b 2 – ac 3 – ab 3 + a 2 bc) = 0

4 (a 4 + b 2 c 2 – 2a 2 bc) – 4 (c 2 b 2 – ac 3 – ab 3 + a 2 bc) = 0

⇒ a 4 + b 2 c 2 – 2a 2 bc – b 2 c 2 + ac 3 + ab 3 – a 2 bc = 0

⇒ a 4 + ab 3 + ac 3 –3a 2 bc = 0

⇒ a [a 3 + b 3 + c 3 – 3abc] = 0

a = 0 or a 3 + b 3 + c 3 = 3abc

Dislike Bookmark

A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same... ...more
A train, travelling at a uniform speed for 360 km, would have taken 48 minutes less to travel the same distance if its speed were 5 km/hr more. Find the original speed of the train.

Let original speed of train = x km/h We know, Time = distance/speed First case: Time taken by train = 360/x hour Second case: Time taken by train its speed increase 5 km/h = 360/(x + 5) Time taken by train in first - time taken by train in 2nd case = 48 min = 48/60 hour 360/x - 360/(x +5) = 48/60... ...more

Let original speed of train = x km/h

We know,

Time = distance/speed

First case:

Time taken by train = 360/x hour

Second case:

Time taken by train its speed increase 5 km/h = 360/(x + 5)

Time taken by train in first - time taken by train in 2nd case = 48 min = 48/60 hour

360/x - 360/(x +5) = 48/60 = 4/5

360 {1/x - 1/(x +5)} = 4/5

360 ×5/4 {5/(x²+5x)}=1

450 x 5 = x² + 5x

x²+5x - 2250 = 0

x = {-5±√(25+9000)}/2

= (-5 ±√(9025))/2

=(-5 ± 95)/2

= -50, 45

But x ≠ -50 because speed doesn't negative,

So, x = 45 km/h

Hence, original speed of train = 45 km/h

Dislike Bookmark

Anil Upadhyay describes himself as A TEACHER AS FRIEND. He conducts classes in Class 10 Tuition and Class 9 Tuition. Anil is located in Bakhtawar Pur, Delhi. Anil takes at students Home, Regular Classes- at his Home and Online Classes- via online medium. He has 4 years of teaching experience . Anil has completed Graduate from MJK Collage in 1994. He is well versed in Hindi.

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