CBSE > Class 10 > Mathematics | CBSE Board | Homework Help

Let a be the first term and d be the common difference of the given AP. Then, in general the mth and nth terms can be written as
T_m = a + (m - 1) d and T_n = a + (n - 1)d respectively.
According to the question,we are given that,

(m.T_m) = (n.T_n)

{tex}\Rightarrow{/tex} m.{a + (m - 1)d} = n.{a + (n - 1)d}
{tex}\Rightarrow{/tex} a.(m - n) + {(m² - n²) - (m - n)} . d = 0
{tex}\Rightarrow{/tex} (m - n).{a + (m + n - 1)}d.
{tex}\Rightarrow{/tex} (m - n).T_m+n = 0
{tex}\Rightarrow{/tex}T_m+n = 0 [{tex}\because{/tex} (m-n){tex}\neq{/tex}0].
Hence, the (m + n)th term is zero.

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128×234=

Posted by Ranveer Singh 7 years, 3 months ago

CBSE > Class 10 > Mathematics

3 answers

Raunak _ Pandey ?? 7 years, 3 months ago

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Komal Tanwar 7 years, 3 months ago

It's cbse

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Ranveer Singh 7 years, 3 months ago

Hi cbsc

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Guys frm tmrw r half-early xams r going to begin...tmrw is math...?? Prepared but a bit fear..

Posted by Shreya Chinnu 7 years, 3 months ago

CBSE > Class 10 > Mathematics

5 answers

Sandhya Sreedhar 7 years, 3 months ago

All the best shreya

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Raunak _ Pandey ?? 7 years, 3 months ago

Have a chill pil

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Anshika Mittal 7 years, 3 months ago

Mineis nahi mine

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Anshika Mittal 7 years, 3 months ago

Mineis on 17th October well best of luck

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. . 7 years, 3 months ago

Me to...

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If a-b, a, a+b are the zeroes of polynomial f(x)=2x^3-6x^2+5x-7,write the value of a

Posted by Roshini Rajesh 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

Given polynomial is p(x) = 2x³ - 6x² + 5x - 7
Let {tex}\alpha{/tex} = (a - b), {tex} \beta{/tex} = a and {tex}\gamma{/tex} = ( a + b)
Now, {tex} \alpha + \beta + \gamma{/tex} = {tex}-\frac{(-6)}{2}{/tex} = 3
⇒ ( a - b) + a + (a + b ) = 3
⇒ a - b + a + a + b = 3
⇒ 3a = 3
⇒ a = 3/3
⇒ a = 1
So the value of a in given polynomial is 1.

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What is the comman difference if the AP is 2,4,6,8...... ?

Posted by Bharathi Siva 7 years, 3 months ago

CBSE > Class 10 > Mathematics

5 answers

Anshika Mittal 7 years, 3 months ago

Formula for common difference is T2-T1 =term 2 -term1 =4-2 = 2 Hence common difference is 2

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Vaibhav Parmar 7 years, 3 months ago

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Gurpreet Singh 7 years, 3 months ago

Thus the common difference is 2 of given AP

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Gurpreet Singh 7 years, 3 months ago

Common difference,d=term 2-term1 That is d=4-2=2 Thus

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Raunak _ Pandey ?? 7 years, 3 months ago

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If we write solution as per your app same to same in exam then it will be right

Posted by Atanu Ghosh 7 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Anshika Mittal 7 years, 3 months ago

Yes of course the person who is giving solution or any answer of any question will not give you wrong

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ANSWER

Show that every positive odd Integer is the form 4q+1 or 4q+3 for some integer q.

Posted by Ziya Ferzin 7 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Gurpreet Singh 7 years, 3 months ago

By euclid's division algorithm we know that a =bq+r as in the question it is given as 4q+1;then b=4 and as we know 0<r<b. Then r =0;1;2;3 1) when r=0 a=4q+0 a=4q 2)when r=1 a=4q+1 Hence proved that 3)when r=2 a=4q+2 4)when r=3 a=4q+3 Hence proved

1Thank You

Sumit Katariya 7 years, 3 months ago

2Thank You

ANSWER

(A*B)2

Posted by Tony Stark 7 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Shreyansh Shukla 7 years, 3 months ago

2AB if 2 is not power or AB² if 2 is a power

1Thank You

ANSWER

A die is thrown once find the probability of getting at most 2

Posted by Raman Narula 7 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Vaibhav Parmar 7 years, 3 months ago

2/6=1/3.

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Archit Dutta 7 years, 3 months ago

2/6=1/3

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ANSWER

(Cot A divided by cosec A +1 ) + (cosec A +1 divided by cot A) = sec A

Posted by Gaurangi Malpani 7 years, 3 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

Three digit number divisble by 7

Posted by Hariom Tiwari 7 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Gautam Mishra 7 years, 3 months ago

No, the first term is 105 and last term is 994

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Hariom Tiwari 7 years, 3 months ago

128 is ans

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ANSWER

AB is a chord of length of 16cm of a circle of radius 10cm.the tangent at A and B intersect at a point P find the length of PA

Posted by Kalpesh Kabra 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

We have, AB = 16 cm
{tex} \therefore{/tex} AL = BL = 8 cm [Perpendicular from the centre of the circle to a chord bisects it]
In {tex}\triangle{/tex}OLB, we have,
OB² = OL² + LB²
{tex} \Rightarrow{/tex} 10² = OL² + 8²
{tex} \Rightarrow{/tex} OL² = 100 - 64 = 36
{tex} \Rightarrow{/tex} OL = 6 cm
Let PL = x and PB = y. Then, OP = (x + 6) cm.
Now, {tex} \angle PBO = 90^\circ{/tex} as tangent makes a right angle with the radius of the circle at the point of contact.
In {tex}\triangle{/tex}'s PLB and OBP, we have,
PB² = PL² + BL² and OP² = OB² + PB²
{tex} \Rightarrow{/tex} y² = x² + 64 and (x + 6)² = 100 + y² [Substituting the value of y² in second equation]
{tex} \Rightarrow{/tex} (x + 6)² = 100 + x² + 64
{tex} \Rightarrow{/tex} 12x = 128
{tex}\Rightarrow x = \frac{{32}}{3}cm{/tex}
{tex} \therefore{/tex} y² = x² + 64
{tex} \Rightarrow {y^2} = {\left( {\frac{{32}}{3}} \right)^2} + 64 = \frac{{1600}}{9}{/tex}
{tex} \Rightarrow y = \frac{{40}}{3}cm{/tex}
Therefore, {tex} PA = PB = \frac{{40}}{3}cm{/tex}

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ANSWER

If sinA =3/4 ,then calculate the value of cosA and tanA

Posted by Sourav Kumar 7 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Mahesh Kumar Yadav 7 years, 3 months ago

Here tan A =3 and cosA =4

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Hariom Tiwari 7 years, 3 months ago

COt 7 t an 7

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ANSWER

show that cube of any positive integer is of the form 4m,4m+1 or 4m+8,for some integer m.

Posted by Pancha Ram 7 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Archit Dutta 7 years, 3 months ago

a=bq×r A=4q×r (where q is any poistive no.) 0<=r>4 r=0,1,2,3 Put r in a=bq+r (4q+0)cube =64q^3 =4(16q^3) =4m(m=16q^3) (4q+1)cube Do like (4q+0)cube

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the sum of a natural number and it's reciprocal is 3/20

Posted by Vedika Kesarwani 7 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Vedika Kesarwani 5 years, 8 months ago

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ANSWER

The no. Which is divisible by no. 1 to 10 all

Posted by Aditya Singh 7 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Aditya Singh 7 years, 3 months ago

5040

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ANSWER

Please Anybody can tell what is the formula for (a+b+c)^3

Posted by Shivam Soni 7 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Satyam Singh 7 years, 3 months ago

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Akshay Chaudhay 7 years, 3 months ago

(a+b)3+c3 now put the (a+b)3 formula you will get your answer

3Thank You

ANSWER

8+8×8÷8

Posted by Abhigyan Singh 7 years, 3 months ago

CBSE > Class 10 > Mathematics

7 answers

$#@|\|@¥@ Khan 7 years, 3 months ago

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Arockia Joshua 7 years, 3 months ago

That's wright answer is 16

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Harsh Naik 7 years, 3 months ago

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Sachin Singh 7 years, 3 months ago

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Yogita Ingle 7 years, 3 months ago

8 + 8 × 8 ÷ 8
= 8 + 8 × 1
= 8 + 8

= 16

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Sunil Kumar 7 years, 3 months ago

Using rule of BODMAS . Its answer is 16

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Rajan Kumar 7 years, 3 months ago

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Hii everybody anybody online....

Posted by Harsh Naik 7 years, 3 months ago

CBSE > Class 10 > Mathematics

3 answers

Aachal Singh 7 years, 3 months ago

Still they are going on .yours over?

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Harsh Naik 7 years, 3 months ago

Half yearly exam is over Aachal..

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Aachal Singh 5 years, 8 months ago

1Thank You

ANSWER

Sec²a-1/cot²a =?

Posted by Yash Rathour 7 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Divya Keshav 7 years, 3 months ago

tan4a here 4 is the power of tanA(tan ki power 4)

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Sachin Singh 7 years, 3 months ago

1Thank You

ANSWER

Find the distance from the origin (6,-8

Posted by Renu Ghasari 7 years, 3 months ago

CBSE > Class 10 > Mathematics

2 answers

Divya Keshav 7 years, 3 months ago

1Thank You

Sachin Singh 7 years, 3 months ago

-2

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ANSWER

10101.101÷1.01

Posted by Spsingh Singh 7 years, 3 months ago

CBSE > Class 10 > Mathematics

3 answers

Sachin Singh 7 years, 3 months ago

101001.09.0099.00999

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Polo .... 7 years, 3 months ago

10,001.090099009

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Yogita Ingle 7 years, 3 months ago

10001.09009

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Is trigonometry comes apart from ncert in class 10 boards

Posted by Mr. Husain 7 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Gurpreet Singh 7 years, 3 months ago

Trigonometry is a basic subject of maths if you know all formulas of trigonometry you can do any questions of it.There are 75percent chances that it come out of ncert?

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Hcf of 43 and 255 by EDL

Posted by Prithviraj Chouhan 7 years, 3 months ago

CBSE > Class 10 > Mathematics