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Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.

Posted by Khushi Yadav 6 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Sia ? 6 years, 6 months ago

The general term of an AP is given by a_n=a+(n-1)d and S_n={tex}\frac{n}{2}{/tex}[2a+(n-1)d].
Given that a₂=14 and a₃=18
So, d=a₃-a₂=18-14=4
Now, a₂=14 {tex}\Rightarrow{/tex}a+4=14 {tex}\Rightarrow{/tex}a=10
Also, S₅₁={tex}\frac{{51}}{2}{/tex}[2(10)+(50)4]
{tex}\Rightarrow{/tex}S₅₁={tex}\frac{{51}}{2}{/tex}[20+200]
{tex}\Rightarrow{/tex}S₅₁={tex}\frac{{51}}{2}{/tex}[220]
{tex}\Rightarrow{/tex}S₅₁=51{tex}\times{/tex}110
{tex}\Rightarrow{/tex}S₅₁=5610

Soyab Khan 6 years, 6 months ago

Tayyaua

ANSWER

If 3 term and 9 term of Ap are 4 and -8 respectively,which term of Ap is zero

Posted by Jatin Dhanraj 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Tarun Pandey 6 years, 6 months ago

5th term of the AP is zero

ANSWER

Ex 9.1

Posted by Krish Sahu 6 years, 6 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

To proved root 2 is an irrational number.

Posted by Manish Singh 6 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Gaurav Seth 6 years, 6 months ago

Let √2 be a rational number

Therefore, √2= p/q [ p and q are in their least terms i.e., HCF of (p,q)=1 and q ≠ 0

On squaring both sides, we get
p²= 2q² ...(1)
Clearly, 2 is a factor of 2q²
⇒ 2 is a factor of p² [since, 2q²=p²]
⇒ 2 is a factor of p

Let p =2 m for all m ( where m is a positive integer)

Squaring both sides, we get
            p²= 4 m²                                                                                          ...(2)
From (1) and (2), we get
           2q² = 4m²      ⇒      q²= 2m²
Clearly, 2 is a factor of 2m²
⇒       2 is a factor of q²                                                      [since, q² = 2m²]
⇒       2 is a factor of q

Thus, we see that both p and q have common factor 2 which is a contradiction that H.C.F. of (p,q)= 1

Therefore, Our supposition is wrong

Hence √2 is not a rational number i.e., irrational number.

Inayat Khan 6 years, 6 months ago

Its an example of ncert

ANSWER

Explain why 7×11×13 +13 and 7×6×5×4×3×2×1+5 are composite number.

Posted by Poonam Mahato 6 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Killer Theorem 6 years, 6 months ago

because this number can be written in the form of more than 2 factors

Manish Singh 6 years, 6 months ago

7*11*13+13 13(7*11+1) 13*78 13*13*2*3 Therefore, 7*11*13+13 is composite number 7*6*5*4*3*2*1+5 5(7*6*4*3*2*1+1) 5(1009) 5*1009*1 Therefore, 5*1009*1 is composite number.

ANSWER

if angle is 15and heigt is 200 find hypotenous

Posted by Parth Malpani 6 years, 6 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

3cotA is 4 1+tansqA divide by 1-tansqA is equivalent to cossqA-sinsqA or not?

Posted by Samaksh Baluni 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Harshit Kant 6 years, 6 months ago

Yes

ANSWER

X2-5x=0

Posted by Shraddha Sisodiya Rajput 6 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

⛩️Singh Empire? (Believe In Study) 6 years, 6 months ago

5

Inayat Khan 6 years, 6 months ago

x(x-5)=0. =x-5=0. = x=5. Hope this will help you.

ANSWER

if anyone he /she give basic mathematics examination and he /she got good marks but now he or she wanted to opt maths so where they will get the marks ?

Posted by Sneha Jain 6 years, 6 months ago

CBSE > Class 10 > Mathematics

4 answers

Secret Girl..... ? 6 years, 6 months ago

Right

Krishna Gupta 6 years, 6 months ago

If anyone scores well in basic exam and wants to opt Maths in 11th then they have to appear for Compartement Exam and have to pass in Maths Standard Paper..

Inayat Khan 6 years, 6 months ago

Anyone who scores well in basic can opt standart by giving the compartment exam

Secret Girl..... ? 6 years, 6 months ago

U r talking about optional maths??

ANSWER

Theorems of class 10

Posted by Sabitri Khara 6 years, 6 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

Half yearly syllabus

Posted by Roshan Kumar 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Inayat Khan 6 years, 6 months ago

Ch 1to 7,14,15

ANSWER

Proof of pythagorus?

Posted by Inayat Khan 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Piyush Bhardwaj 6 years, 6 months ago

_Make your anklet feel special by adorning with these American Diamond Gold Plated Pendant with Earrings, Haathphool and Ring . Flaunt your arms with these sparkling bajubandh._ Catalog Name : *Ruby Emerald American Diamond Gold Plated Jewellary Sets* Material: Alloy Size: Free Size Description: It Has 1 Piece Of Necklace, 1 Pair of Earnings with 1 Piece of Haathphool & 1 Piece of Ring Work: Stone Work Dispatch: 2 – 3 Days Designs: 7 Easy Returns Available in Case Of Any Issue

ANSWER

Sarva antar kise kahte h

Posted by Donika Singh 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Rakesh Kumar Tiwari 6 years, 6 months ago

Common difference ko kahte hain. "Samantar shredhi k Kinhi bhi do kramagat pado ke antar ko sarva antar kahte hain." "Difference between any two consecutive terms of an A.P."

ANSWER

what is the formulas of ap

Posted by Kaushal Suryavanshi 6 years, 6 months ago

CBSE > Class 10 > Mathematics

4 answers

Inayat Khan 6 years, 6 months ago

an =a+(n-1)d

Inayat Khan 6 years, 6 months ago

Sn where an is given: sn=n/2[a+l] where l=an

Sharique Abdullah 6 years, 6 months ago

Sn = n/2(2a+(n-1)d)

Anugya Gautam 6 years, 6 months ago

a+(n-1)d

ANSWER

Prove that root 5is irrational

Posted by Shiv Prakash 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Inayat Khan 6 years, 6 months ago

Let √5 be rational such that √5=p/q where p nd q are co prime numbers. Now;√5=p/q. q√5=p . Squaring both sides; 5q^2=p^2. .......(1) also;p =5s for some integer s;putting p=5s in (1) 5q^2=(5s)^2. 5q^2=25s^2. From (1) nd(2) weconclude that 5is a common factor of p^2as well as p nd q^2as well as q.Hence;our assumption that p nd q are co prime integers is wrong.therefore √5is irrational by contradiction. Hope it will help u.

ANSWER

if sinthitha = costhitha find the value of thitha

Posted by Mayank Sharma 6 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Ashwani Kumar 6 years, 6 months ago

45 degree

Diksha . 6 years, 6 months ago

45 degree

ANSWER

If a line divides any two sides of a triangle in the same ratio then the lines parallel to the thereside

Posted by Shreya Jaiswal 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Aayush Kumar 6 years, 6 months ago

Yes , that is basic proportional theorem.

ANSWER

Yr char din bd exam ha help me to study the important things;plse tell me

Posted by Inayat Khan 6 years, 6 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

SinA +cos A =?

Posted by Anas Ahmed 6 years, 6 months ago

CBSE > Class 10 > Mathematics

4 answers

Poonam Mahato 6 years, 6 months ago

1

? Queen ? 6 years, 6 months ago

Sin²A + Cos²A = 1.

No Matter Who I Am ?? Just Keep On Studies.... ?? 6 years, 6 months ago

1 is the answer

Sarvagya Porwal 6 years, 6 months ago

1

ANSWER

Sorry AE×AB=AC×AD

Posted by Raushan Kumar 6 years, 6 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

In triangle ABC angle A is acute .BD and CE are prependicular on AC and AB .prove that AB×WE=AC×AD

Posted by Raushan Kumar 6 years, 6 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

If -5 is a root ofvthr quadratic equation 2x²+px-15=0 whwreas the quadratic rquation p(x²+x)=-k has equal roots find the value of k and p

Posted by Aminder Singh 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Inayat Khan 6 years, 6 months ago

2(-5)'^2+p(-5)-15=0. 2*25-5p-15=0. 50-5p-15=0. 35-5p=0. p=-35/-5. p=7. Now;p(x^2+x)=-k. Putting p=7; 7x^2+7x=-k. 7x^2+7x+k=0. Since it has equal roots; so;b^2-4ac=0. (7)^2-4*7*k=0. 49-28k=0. k=-49/-28 =7/4. Hope this will help u dear.

ANSWER

the perimeter of two similar triangles are 25 cm and 15 CM respectively if one side of the second triangle is 9 CM then find the length of the corresponding side of the first triangle

Posted by 621311 ?? 6 years, 6 months ago

CBSE > Class 10 > Mathematics

3 answers

⛩️Singh Empire? (Believe In Study) 6 years, 6 months ago

There is a rule that state that the ratio of perimeter of two similar triangle is equal to the ratio of their corresponding sides......apply this who got it....

621311 ?? 6 years, 6 months ago

How did you get it??? Can you please send me whole solution.

⛩️Singh Empire? (Believe In Study) 6 years, 6 months ago

15

ANSWER

Which measure of Central tendency is used for finding the popular size of readymade garments

Posted by 621311 ?? 6 years, 6 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

Can anyone tell me when to use distance and when to use section formula?

Posted by Inayat Khan 6 years, 6 months ago

CBSE > Class 10 > Mathematics

3 answers

Inayat Khan 6 years, 6 months ago

Ikrar is my elder brother

Aayush Kumar 6 years, 6 months ago

We use distance formula for finding the distance between two points (like distance between A to B )& we use section formula to find the rotio of the sector of line which is divided into two (or more) parts , for ex; suppose AB is a line and P is the point on AB so by section formula we can find the distance AP and BP and its coordinates also.

⛩️Singh Empire? (Believe In Study) 6 years, 6 months ago

To find the distance btw two point ......if we have to find the ratio in which line joining btw two coordinate is divided by a coordinate we use section formula.....

ANSWER

Class 10 ke final exam me novel se question aayega

Posted by Lakshya Kumar 6 years, 6 months ago

CBSE > Class 10 > Mathematics

4 answers

Gaurav Pandey 6 years, 6 months ago

No

? Queen ? 6 years, 6 months ago

What No???.

Aayush Kumar 6 years, 6 months ago

No

Secret Girl...... ? 6 years, 6 months ago

Wlcm

ANSWER

Formula of all chapter s

Posted by Gaytri Singh 6 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Aayush Kumar 6 years, 6 months ago

You can read summary page (pg -116 of NCERT book ) at the end of chapter.

Inayat Khan 6 years, 6 months ago

Read ncert summary at the last of chapter or prefer to support material

ANSWER

What is origin

Posted by Vishal Gurjar 6 years, 6 months ago

CBSE > Class 10 > Mathematics

4 answers

Vishal Gurjar 6 years, 6 months ago

Thanks.

Aayush Kumar 6 years, 6 months ago

It is the point on graph where X and Y coordinate intersect each other and form O (0,0). In other words we can say that it is the center of graph or mean point .

Balasundar K 6 years, 6 months ago

The point of intersection of x and y axes is called origin

Secret Girl...... ? 6 years, 6 months ago

Of maths?

ANSWER

what is the difference btw basic and standard mathematics

Posted by Jaiveer Vikram Singh 6 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Dhairya Singh 6 years, 6 months ago

In basic maths exam questions will be 1 level easy than standard exam Those people who will not opt for maths in future should take basic maths

Abul Fazal X Factor 6 years, 6 months ago

Nothing

ANSWER

2 balls

Posted by Manila Gupta 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Ankit Kumar 6 years, 6 months ago

Which one

ANSWER

Page 530 of 1971

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