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If m times mth term of an AP is equal to n times nth term, then show that (m+n)th term of the AP is zero

Posted by Aradhana Hota 5 years, 4 months ago

CBSE > Class 10 > Mathematics

3 answers

? Pranali.A.P ? 5 years, 4 months ago

?

Tanmay Bagade 5 years, 4 months ago

??

? Pranali.A.P ? 5 years, 4 months ago

Let the first term of AP = a....... common difference = d......... We have to show that (m+n)th term is zero or a + (m+n-1)d = 0........ mth term = a + (m-1)d....... nth term = a + (n-1) d........ Given that m{a +(m-1)d} = n{a + (n -1)d}...... ⇒ am + m²d -md = an + n²d - nd am - an + m²d - n²d -md + nd = 0........ ⇒ a(m-n) + (m²-n²)d - (m-n)d = 0........ ⇒ a(m-n) + {(m-n)(m+n)}d -(m-n)d = 0....... ⇒ a(m-n) + {(m-n)(m+n) - (m-n)} d = 0....... ⇒ a(m-n) + (m-n)(m+n -1) d = 0........ ⇒ (m-n){a + (m+n-1)d} = 0 ....... ⇒ a + (m+n -1)d = 0/(m-n)....... ⇒ a + (m+n -1)d = 0...... Proved!

ANSWER

(a-b) x+(a+b)y=a2-2ab-b2(a+b)(x+y)=a2+b2

Posted by Namitha Namitha 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 4 months ago

Given that (a-b) x + (a + b)y = a2 - 2ab - b2 -------------(1)

(a+b) x+ (a+b)y = a2 + b2 -------------(2)

Substracting (2) from (1) we get

-2bx = -2ab

=2b2 x = a + b

Subsitute x in equation (2) we get y = - 2ab / ( a + b).

ANSWER

123*4

Posted by Vishal Verma 5 years, 4 months ago

CBSE > Class 10 > Mathematics

5 answers

...User Not Available.... 5 years, 4 months ago

492

Deepa Kumari 5 years, 4 months ago

502

? Pranali.A.P ? 5 years, 4 months ago

Hiiii ?

Prachi Tamrakar 5 years, 4 months ago

Prachi ?p.a.p

? Pranali.A.P ? 5 years, 4 months ago

What ??

ANSWER

What comes first Egg or Hen

Posted by Ladli Verma 5 years, 4 months ago

CBSE > Class 10 > Mathematics

3 answers

Deepa Kumari 5 years, 4 months ago

I am also agreed to the answer that egg comes first

Satabdi Mandal 5 years, 4 months ago

Egg.because a dinosaur lays the egg and from that egg one chick comes out...

Himangshu Das 5 years, 4 months ago

According to one scientific theory egg

ANSWER

Evaluate 2sin^2 30° tan 60°-3cos^2 60°sec^2 30°

Posted by Aaly Alie 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 4 months ago

sin 30°=1/2=>sin^2 30°=1/4

cos 45°=1/root 2=>cos^2 45°=1/2

tan 60°=root 3=>tan ^2 60°=3

So, 2 sin ^2 30°-3cos^2 45° +tan^2 60°

=>2(1/4)-3(1/2)+3

=>1/2-3/2+3

=>(1-3+6)/2

=>4/2

=>2

ANSWER

x+2y=-1 2x-3y=12 By cross multiplication

Posted by Riya Kumari 5 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Prachi Tamrakar 5 years, 4 months ago

Prachi tamarkar

Gaurav Seth 5 years, 4 months ago

The given equations are:

x + 2y + 1 = 0 …….(i)

2x – 3y – 12 = 0 …….(ii)

ANSWER

obtain all zeroes of the following polynomial when two of its zeroes are given p(x) 2x^4 +x^3 -14x^2 - 19x -6 having two of its zeroes as -2 and -1

Posted by Bharti Kumari 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Virus Hacker 5 years, 4 months ago

In this question firstly you have two zeroes x+2and x+1.then multiply both of them

ANSWER

Prime factorisation of 2s raise to 2-(1+2 root 2)s+root 2

Posted by Jahnavi Kumari 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogesh Meena 5 years, 4 months ago

I love you

ANSWER

poda narri

Posted by Shibil Habeeb 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

...User Not Available.... 5 years, 4 months ago

What ??????

ANSWER

In a equilateral triangle ABC, D is a point on side BC such that BD =1/3BC .prove that 9AD square=7AB square

Posted by Kiran Kumar 5 years, 4 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

Find the 7th term A.P 3 ,7 ,10

Posted by Tannu Choudhary 5 years, 4 months ago

CBSE > Class 10 > Mathematics

5 answers

Mr__Priyanshu ❤️______ __ 5 years, 4 months ago

Common difference equal nhii hai

Virus Hacker 5 years, 4 months ago

22

Yogita Ingle 5 years, 4 months ago

d₁ = 7 - 3 = 4

And d₂= 10 - 7 = 3

3 ,7 ,10 is not an A.P.

Mr__Priyanshu ❤️______ __ 5 years, 4 months ago

आप क्या मुझे बबताये गई कि मै common difference क्या लु

Mr__Priyanshu ❤️______ __ 5 years, 4 months ago

इसमे common difference अलग-अलग hai

ANSWER

Prove that 1\√2is irrational

Posted by Prakash Vyas 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

? Pranali.A.P ? 5 years, 4 months ago

To prove 1/√2 is irrational............. Let us assume that √2 is irrational .......... 1/√2 = p/q (where p and q are co prime)........ q/p = √2......... q = √2p....... squaring both sides......... q² = 2p² .....................(1) By theorem ...... q is divisible by 2....... ∴ q = 2c ( where c is an integer)....... putting the value of q in equitation 1....... 2p² = q² = 2c² =4c² ...... p² =4c² /2 = 2c²..... p²/2 = c² ..... by theorem p is also divisible by 2..... But p and q are coprime........ This is a contradiction which has arisen due to our wrong assumption.... ∴1/√2 is irrational

ANSWER

construct a quadrilateral ABCD in which AB equal to 3.8 CM AC is equal to 4.5 cm 8d equal to 2.6 and angle a = 200 degree and angle b equal to 60 degree construct a quadrilateral similarity to ABCD with side equal to 5.7 of corresponding side ofquadrilateral ABCD

Posted by Nikita Sharma 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

? Pranali.A.P ? 5 years, 4 months ago

Sorry, isss app me construction nhi ho sakta

ANSWER

Construct a quadrilateral ABCD in which AB equal to 3.8 cm equal to 4.5 cm

Posted by Nikita Sharma 5 years, 4 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

Class 10 Ex.12.2 Q.12

Posted by Ronak Miracle 5 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Hanuman Prasad 5 years, 4 months ago

Check the weather following are quadratic equations 4x+8=0

? Pranali.A.P ? 5 years, 4 months ago

The given details are,....... Percentage Rohit deposited in bank = 12% of total income..... Rohit deposited money during the year 1997 = Rs 1440...... So, let us consider the total income of Rohit as Rs x...... By calculating,...... (x/100) × 12 = 1440.... By cross multiplying...... x = (1440×100)/22...... = 12000....... ∴ Rohit’s total income for the year 1997 is Rs 12000.......

ANSWER

By elimination method solve 8x -6=5y 5y -3x=-7

Posted by Muskan Sokhal 5 years, 4 months ago

CBSE > Class 10 > Mathematics

3 answers

Fallen Warrior 5 years, 4 months ago

Now put the value of x in any of the 2 equations and then you will get the value of y

Fallen Warrior 5 years, 4 months ago

1) 8x-5y=6 and 2) 3x-5y=7 Now, subtract 2) from 1) You will get 5x=-1 so, x=-1/5

? Pranali.A.P ? 5 years, 4 months ago

Elimination method apply karo and answer nikalo

ANSWER

Difference between consistent or inconsistent?.

Posted by Tanunav Arora Futela 5 years, 4 months ago

CBSE > Class 10 > Mathematics

4 answers

? Pranali.A.P ? 5 years, 4 months ago

I am not a teacher , i am a student

Tanunav Arora Futela 5 years, 4 months ago

Thanks teacher.

Tanunav Arora Futela 5 years, 4 months ago

Plz tell answer..... I hv to do my wrk also .today is my test of this chapter.

? Pranali.A.P ? 5 years, 4 months ago

A consistent system of equations has at least one solution, and an inconsistent system has no solution

ANSWER

A tent is made in the form of frustum if a cone surmounted by another cone. The diameters of the frustum is 24m and 8m and the height of the frustum is 15m . If the total height of the tent is 18m . Find the quantity of canvas required. Find the cost at rs 7 per m^2.

Posted by Sunita Sirawag 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

? Pranali.A.P ? 5 years, 4 months ago

Use this :) quantity of canvas area : = π(r1-r2) l+πr2l2

ANSWER

Who many ls are there in Exam

Posted by Arvind Choudhary 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

? Pranali.A.P ? 5 years, 4 months ago

Don't know

ANSWER

What's fundamental theoram of artimetic

Posted by Rudranath Patel 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

? Pranali.A.P ? 5 years, 4 months ago

This theorem also says that the prime factorisation of a natural number is unique, except for the order of its factors. For example 20 can be expressed as 2×2×5. Using this theorem the LCM and HCF of the given pair of positive integers can be calculated.

ANSWER

In a triangle ABC angla a is 90 degree , side AB is 5m and side AC is 9m then find side BC ?

Posted by Gaurav Kumar Aryan 5 years, 4 months ago

CBSE > Class 10 > Mathematics

3 answers

Nishtha Khandelwal 5 years, 4 months ago

Root 106

Deepika Shah 5 years, 4 months ago

we know that by phythagorar thm. we get, BC^2 = AC^2 + AB^2 BC^2 = (9)^2 + (5)^2 BC^2= 81 + 25 BC^2 = 106 BC = ROOT 106

Himangshu Das 5 years, 4 months ago

AB=5m,AC=9m By Pythagoras theorem, BC²=AB²+AC² =)BC=√5²+9² =)BC=√25+81 =)BC=√106 =)BC=10.3m

ANSWER

The length of the diagonals of a rhombus are 16cm and 12cm find the length of side of rhombus

Posted by Aaradhana Kumar 5 years, 4 months ago

CBSE > Class 10 > Mathematics

5 answers

Manveer Singh 5 years, 4 months ago

7.6 m

Nishtha Khandelwal 5 years, 4 months ago

10 cm

Gaurav Seth 5 years, 4 months ago

We know that, the diagonals of a rhombus are perpendicular bisector of each other.
Given, AC = 16 cm and BD = 12 cm [let]
∴ AO = 8cm, SO = 6cm
and ∠AOB = 90°
In right angled ∠AOB,

Kashish Ohdar 5 years, 4 months ago

Answer is 10 cm

Aditya Raj 5 years, 4 months ago

10 cm

ANSWER

1 million = how many lakhs?

Posted by Vaishnavi Belapurkar 5 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Tanmay Bagade 5 years, 4 months ago

??

?Suhani Arora? 5 years, 4 months ago

10,000,00 10 lakhs

ANSWER

In my school nobody tell me about basic maths or standard maths only personal detail require on that time i know about basic or stranded maths but i thought that these choices were choosen later but still now when my admission is going to another school I saw my registration and saw on it mathematics standard but I want to choose basic maths so today my all details was summited for my Addimision Plz tell me how I choose basic maths bcoz there is no fault of mine

Posted by Vanshika Baliyan 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Tanu Dubey 5 years, 4 months ago

Go and talk with your principal...

ANSWER

The boat goes 30km upstream and 44 km downstream in 10 hours. In 13 hours ,it can go 40 km upstream and 55 km downstream. Determine the Speed of stream and that of the boat in still water. Please solve this friends??

Posted by Ankit Kumar 5 years, 4 months ago

CBSE > Class 10 > Mathematics

2 answers

Gaurav Seth 5 years, 4 months ago

Let speed of boat in still water be x km/h and speed of stream be y km/h.

Speed upstream= (x - y) km/h

Speed downstream= (x + y) km/h

On subtracting, we get,

_{On solving, we get,}

Speed of boat in still water = 8 km/h

And, Speed of stream = 3 km/h

Himangshu Das 5 years, 4 months ago

See class 10 maths book chapter 3 eg 19

ANSWER

use Euclid's division algorithm to find the hcf of 441,567,693

Posted by Jaya Shree Meenakshi 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Yogita Ingle 5 years, 4 months ago

Euclid division lemma:-

a=bq+r

First find the HCF of 693 and 567,

693=567(1)+126

567=126(4)+63

126=63(2)+0

HCF of 693 and 567 is 63.

Now find the HCF of 63 and 441,

441=63(7)+0

The HCF of 63 and 441 is 63.

Therefore, the HCF of 441,567 and 693 is 63.

ANSWER

What is the difference between code 30/1/1 and 30/2/1 in board paper?

Posted by Ankita Chhabra 5 years, 4 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

Use Euclid division Lemma to show that cube of any positive integer is form of 99 + 19 + 8

Posted by Anitha Joseph 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 4 months ago

Q: Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m,9m+1 or 9m+8

Let x be any positive integer. Then, it is of the form 3q or, 3q + 1 or, 3q + 2.

So, we have the following cases :

Case I : When x = 3q.

then, x³ = (3q)³ = 27q³ = 9 (3q³) = 9m, where m = 3q³.

Case II : When x = 3q + 1

then, x³ = (3q + 1)³

= 27q³ + 27q² + 9q + 1

= 9 q (3q² + 3q + 1) + 1

= 9m + 1, where m = q (3q² + 3q + 1)

Case III. When x = 3q + 2

then, x³ = (3q + 2)³

= 27 q³ + 54q² + 36q + 8

= 9q (3q² + 6q + 4) + 8

= 9 m + 8, where m = q (3q² + 6q + 4)

Hence, x³is either of the form 9 m or 9 m + 1 or, 9 m + 8.

ANSWER

8+2rut2

Posted by Høñéy Khäñ 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Koushik Ch 5 years, 4 months ago

Finding the whole expression value the answer is 10.828

ANSWER

Divided x cube minus 3 X square + 3 x minus 5 by x square minus x + 1 find the quotient and reminder

Posted by Rekha Tiwari 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Arpita Singh 5 years, 4 months ago

x^3-3x^2+3x-5 by x^2-x+1→Quotient=x-2 & remainder=-3

ANSWER

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