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

Let p(x) =3x^3 -x^2 -3x + 1. One zero of p of x is given 1. Therefore ( x -1) is a factor of p of x. Now. Divide p of x with (x - 1).we get. 3x^2 +2x -1. Now factorise it. We get, Therefore. Other zero of p of x is -1 and 1/3 . ???? ?? ???? ???? ?.

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Nksingh 44 4 years, 6 months ago

if sin A=3/4, calculate sec A

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Determine the nature of the roots of the equation 2x^2+x-1

Posted by Msv Msv 4 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Poonam Mittewad 4 years, 6 months ago

D=b^2-4ac =(1)^2-4 (2)(-1) =1+8 =9 D <9 .: there exist real and distinct roots...

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Adithya Dev A 4 years, 6 months ago

Discriminant = b^2 - 4ac = (1) ^2 - 4 * -1 * 2 = 1 + 8 = 9. Therefore, the roots are REAL and DISTINCT in nature.

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Find all the zeroes of the polynomial 8x4+8x3 -18x2-20x-5 if two of it's zeroes are √5/2 and √5/2

Posted by Deepthi Patel 4 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Adithya Dev A 4 years, 6 months ago

p (x) = 8x^4 + 8x^3 - 18x^2 - 20x - 5. g (x) = (x + √5/2) (x - √5/2) = x^2 - 5/4. Now, on doing p(x) /g(x), we get quotient = q(x). Factorize q(x) to get the two other zeroes.

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Om Prakash Meena 4 years, 6 months ago

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(5+6+3-2-5)

Posted by Raghavendra Singh 4 years, 6 months ago

CBSE > Class 10 > Mathematics

3 answers

Rishi Dhoundiyal 4 years, 6 months ago

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Bibek Saha 4 years, 6 months ago

7 will be the answer

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Jasleen Gill 4 years, 6 months ago

Do you really belong to class 10?

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ANSWER

Express 59/2raises4 5raises3

Posted by Avni Sachan 4 years, 6 months ago

CBSE > Class 10 > Mathematics

0 answers

ANSWER

Ex 1.2

Posted by Santosh Nunia 4 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Jasleen Gill 4 years, 6 months ago

Ask question with complete information.. ??... :)

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Jasleen Gill 4 years, 6 months ago

Please check the question before writing. ??

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Show that 5-√3 is irrational. Anyone please help

Posted by Snowie Bakshi 4 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Snowie Bakshi 4 years, 6 months ago

Thanku adithya dev a

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Adithya Dev A 4 years, 6 months ago

Prove √3 is irrational. It is given in the text. And then, since the difference between a rational and an irrational number is always irrational, 5 - √3 is irrational.

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Prove that √2 is an irrational number?

Posted by Mycharla. Pushpa Kumari 4 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Himanshu Raj 4 years, 6 months ago

Given √2 To prove: √2 is an irrational number. Proof: Let us assume that √2 is a rational number. So it can be expressed in the form p/q where p, q are co-prime integers and q≠0 √2 = p/q Here p and q are coprime numbers and q ≠ 0 Solving √2 = p/q On squaring both the side we get, =>2 = (p/q)2 => 2q2 = p2……………………………..(1) p2/2 = q2 So 2 divides p and p is a multiple of 2. ⇒ p = 2m ⇒ p² = 4m² ………………………………..(2) From equations (1) and (2), we get, 2q² = 4m² ⇒ q² = 2m² ⇒ q² is a multiple of 2 ⇒ q is a multiple of 2 Hence, p, q have a common factor 2. This contradicts our assumption that they are co-primes. Therefore, p/q is not a rational number √2 is an irrational number.

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Parth Gopani 4 years, 6 months ago

Any root of imperfect square is an 'irrational number'. As '2' is not a perfect square(i.e.4,9,16....) so root of it is surely irrational.

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If the remainder on division of x3+2x2+Kx+3 by x-3 is 21,Find The Quotient and value of k Hence,find the zereos of the cubic polynomial x3+2x2+kx-18

Posted by Ambareesh Manikandan 4 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Adithya Dev A 4 years, 6 months ago

Use Euclid's division algorithm.

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-1, -3/2, -2, 5/2 .... from an AP as a2-a1=a3-a2

Posted by Junaid Ali 4 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Adithya Dev A 4 years, 6 months ago

-3/2 + 1 = -2 + 3/2. (-3 + 2)/2 = (-4 + 3)/2. -1/2 = -1/2. Hence, the above sequence is an A.P.

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Form cubic polynomial whose zeroes are 1, 1, 2.

Posted by Lakshya Gupta 4 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Adithya Dev A 4 years, 6 months ago

S = 1 + 1 + 2 = 4. P = 1 * 1 * 2 = 2. PZ = 1*1 + 1*2 + 1*2 = 1 + 2 + 2 = 5. p (x) = k(x^3- sx^2 + pz x - p) = k(x^3 - 4x^2 + 5x - 2)//

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Cos=12/15

Posted by Jayasmita Banerjee 4 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Adithya Dev A 4 years, 6 months ago

sin A = 9/15. cos A = 12/15. tan A = 9/12. sec A = 15/12. cosec A = 15/9. cot A = 12/9.

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The following real numbers have decimal expansion as given below. In each case decide whether they are rational order not. IFSC they are you,and of the form p/q,what can you say about the prime factors of q?

Posted by Bhawna Garg 4 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Adithya Dev A 4 years, 6 months ago

q should be of the form 2^n * 5^n.

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Jasleen Gill 4 years, 6 months ago

Write complete question please. ??

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What can we say about a²-b².If a>b and a&b are two odd prime numbers.

Posted by Kajal Rohilla., 31 4 years, 6 months ago

CBSE > Class 10 > Mathematics

3 answers

Adithya Dev A 4 years, 6 months ago

Considering the following condition, we can arrive to a conclusion that a^2 - b^2 would always be multiple of 8.

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Kajal Rohilla., 31 4 years, 6 months ago

Pls explain

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Nancy Singh 4 years, 6 months ago

Ftutf

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Show that 6^n-5^n always end with digit 1.

Posted by Kajal Rohilla., 31 4 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Adithya Dev A 4 years, 6 months ago

6^n, where n is any positive integer, always ends with 6. Eg :- 6^2 = 36, 6^3 = 216, etc. Whereas, 5^n , for any value of n, always ends in 5. Eg :- 5^2 = 25, 5^4 = 625, etc. Therefore, since 6 - 5 is always equal to one, the no 6^n - 5^n always ends with one.

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11th

Posted by Navari Yashwanth Reddy 4 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 4 years, 6 months ago

Please ask question with complete information.

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Is 0 a rational number or an irrational number?

Posted by Jasleen Gill 4 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Snowie Bakshi 4 years, 6 months ago

It is a rational number

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Satakshi . 4 years, 6 months ago

0 is a rational number. We know that rational number is in the for of p/q .

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Find the value of X and Y 3x+2y=-9/2 3x+4y=5/2

Posted by Rishu Raj 4 years, 6 months ago

CBSE > Class 10 > Mathematics

3 answers

Aradhya Anand 4 years, 6 months ago

x=-13/6, y=1

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Harsh Raj Pandey 4 years, 6 months ago

No the above one is wrong the right answer is X=-23/6 Y=7/2

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Divyangana Patel 4 years, 6 months ago

X=1, y=-8/6

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Find the values of a and b so that the polynomials p ( X ) and q ( X ) have ( x^2 - X - 12 ) as their HCF where ,

Posted by Loganathan Madhesh 4 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Loganathan Madhesh 4 years, 6 months ago

Find the values of a and b so that the polynomials p(X) and q(X) have (x^2 - X - 12) as their HCF where , p(X) = ( x^2 - 5x + 4 ) ( x^2 + 5x + a ) , q (X ) = ( x^2 + 5x + 6 ) ( X ^2 - 5x - 2b )

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Adithya Dev A 4 years, 6 months ago

Kindly give complete question.

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Express the trigonometry ratio sin A,sec and tan A in terms of cot A

Posted by Shubham Kumar 4 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Adithya Dev A 4 years, 6 months ago

tan A = 1/cot A. sec A = √1 + 1/cot^2 A. sin A = cos A/cot A.

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Sum of two natural numbers is 25 and their difference is 7 find the numbers

Posted by Vansh Agrawal 4 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Aradhya Anand 4 years, 6 months ago

x=17 and y=8

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Samish Kumar 4 years, 6 months ago

16 and 9

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7. If a = 3.5, d = 0, n = 105 then find value of n th term of AP

Posted by Rebu Do 4 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Adithya Dev A 4 years, 6 months ago

Since d = 0, n th term will always be 3.5.

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Check whether 6^n can end with the digit 0 for any natural number n .

Posted by Aarya Kumar 4 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Rajiv Maan 4 years, 6 months ago

It never end with the digit 0, as it's prime factorization is 2 × 3 = 6. It doesn't contain 5, so it can never end with 0.

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Amrit Raj 4 years, 6 months ago

Never because it doesn't consist of prime factor as multiple of 2×5 i. e 6^n=(2×3)^n

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Find the greatest number of 6 digits exactly divisible by 18, 24 and 36

Posted by Kajal Rohilla., 31 4 years, 6 months ago

CBSE > Class 10 > Mathematics

4 answers

Adithya Dev A 4 years, 6 months ago

No mention, Kajal.

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Kajal Rohilla., 31 4 years, 6 months ago

Thanku

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Saurav Kumar 4 years, 6 months ago

Chapter 1 in hindi

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Adithya Dev A 4 years, 6 months ago

LCM (18, 24, 36) = 72. Largest number of 6 digits = 999999. Dividing 999999 by 72, we get a remainder 63. Therefore, the greatest number of 6 digits exactly divisible by 18, 24, 36 is 999999 - 63 = 999936//

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What was the main aim of the Vienna Congress of 1815? Discuss its main features?

Posted by Kunal Raj 4 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Rebu Do 4 years, 6 months ago

To restore the monarchy that was over thrown by napoleon

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Adithya Dev A 4 years, 6 months ago

The main aim of the Vienna Congress of 1815 was reestablishing peace and order in Europe by reversing all the changes brought in during the Napoleonic wars in Europe. Some among the main features of the Vienna Treaty of 1815 :- 1) Restoration of Bourbon dynasty in Europe. 2) New states were established to prevent future French expansion. 3) Kingdom of Netherlands was set up in the north and Genoa was added to Piedmont in the South. 4) Russia was given a part of Poland and Prussia was given a part of Saxony. 5) Prussia was given Western frontiers and Austria was given Northern Italy.

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rajeev added 2 more triangles in the circle and numbered these triangle 10 and 11. In this round rajeev started counting with triangle numbered as 1 but anticlockwise and eliminated every fifth triangle until only one triangle remained which triangle will left in the end

Posted by Utkrisht Mahajan 4 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Adithya Dev A 4 years, 6 months ago

Give complete question.

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L.C.M OF 7060

Posted by Aditya Triyal 4 years, 6 months ago

CBSE > Class 10 > Mathematics

3 answers

Aarya Kumar 4 years, 6 months ago

This is a wrong question ?

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Adithya Dev A 4 years, 6 months ago

LCM (60, 70) = 420.

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Aditya Triyal 4 years, 6 months ago

L.c.m of 7060

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Solve the following equation in pair of linear equation by elimination method 5x-8y=11 & -10x+6y=-22

Posted by Aakanksha Gupta 4 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Aakanksha Gupta 4 years, 6 months ago

Thanks for give the answer

1Thank You

Rebu Do 4 years, 6 months ago

First multiply eq 1 by 10 i.e 50x - 80y = 110 And eq2 by 5 i.e -50x + 30y =-110 Now 50x - 80y = 110 -50x+30y = -110 ------------------ 0x -50y = 0 ------------------- -50y = 0 Y =0 For x put the value of y in eq -1 50x-80×0 = 110 50x=110 X=110/50 X= 2.2

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Please give me notes of mathematics

Posted by Dhruv Jaiswal 4 years, 6 months ago

CBSE > Class 10 > Mathematics