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

When two numbers (they may not be prime) do not have any common factor other than 1 between them they are called co-prime
As the definition suggest , the HCF of a co-prime number will always be 1.

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Prove that cube root 6 is irrational.

Posted by Pranshi Pareek 4 years, 5 months ago

CBSE > Class 10 > Mathematics

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Find the all zeroes of f(x) : x2 - 2x

Posted by Manthan Jadhav 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Adithya Dev A 4 years, 5 months ago

Given, f(x) = x^2 - 2x. Therefore, f(x) = 0. x^2 - 2x = 0. x (x - 2) = 0. Thus, zeroes are 0 and 2.

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without actual division, show that each of the following rational numbers is a terminating decimal. Express each in decimal form. (?)31 2^2 ×5^3 (??)33 50 (???)17 625 (??)41 1000

Posted by Garima . 4 years, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Vinod Khandelwal 4 years, 5 months ago

(1) multiply numerator and denominator by 2 62/1000 0.062 (2)multiply numerator and denominator by 2 66/5*5*2*2 66/100 0.66 (3) multiply numerator and denominator by 2 power 4 272/5*5*5*5*2*2*2*2 272/10000 0.0272 (4)41/1000 1000=2^3*5^3 0.041

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Adithya Dev A 4 years, 5 months ago

(I) 31/2^2 * 5^3. Here, since the denominator is of the form 2^n * 5^n, the above number is terminating. Similarly, (II) 50 can be written as 5^2 * 2, (III) 625 = 5^4 and (IV) 1000 = 5^3 * 2^3.

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7×-2y=9 and 4x+6y=15

Posted by Seethalakshmi Suresh 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Vinod Khandelwal 4 years, 5 months ago

we have to find the value of x and y so by using elimination method 7x-2y=9----------------eq1 we have to multiply eq1 by 3 to make the variable y same (7x-2y=9)*3 21x-6y=27-----------eq1 4x+6y=15------------eq2 by elimination method by adding the eq1 and eq2 21x-6y=27 4x+6y=15 the -6y and +6y get canclled so 24x=42 x=42/24 the value of x is 7/4 putting the value of x in eq2 4x+6y=15 4*7/4+6y=15 4 and 4 get canclled 7+6y=15 6y=15-7 6y=8 y=8/6 that is 4/3 the value of x=7/4 the value of y=4/3

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Find the quadratic polynomial whose zeroes are -2 and -5. Verify the relation ship between zeroes and coefficient of the polynomial

Posted by Mohammed Omar 4 years, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Adithya Dev A 4 years, 5 months ago

S = -2 + -5 = -7// P = -2 * -5 = 10// p(x) = k (x^2 - sx + p) = k (x^2 + 7x + 10)//

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Keshav Dahiya 4 years, 5 months ago

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Prove underroot 3+underroot 5 is irrational

Posted by Khushi Choudhary 4 years, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Kashish Kumari 🙂 4 years, 5 months ago

Answer to prove se start hai

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Kashish Kumari 🙂 4 years, 5 months ago

unlock 35 lakh questions What's your doubt? 10th >Maths >Real Numbers >Revisiting Irrational Numbers >Prove that √(3) + √(5) is... Maths Bookmark Prove that 3 + 5 is irrational. Easy share Share Answer To prove : 3 + 5 is irrational. Let us assume it to be a rational number. Rational numbers are the ones that can be expressed in q p form where p,q are integers and q isn't equal to zero. 3 + 5 = q p 3 = q p − 5 squaring on both sides, 3= q 2 p 2 −2. 5 ( q p )+5 ⇒ q (2 5 p) =5−3+( q 2 p 2 ) ⇒ q (2 5 p) = q 2 2q 2 −p 2 ⇒ 5 = q 2 2q 2 −p 2 . 2p q ⇒ 5 = 2pq (2q 2 −p 2 ) As p and q are integers RHS is also rational. As RHS is rational LHS is also rational i.e 5 is rational. But this contradicts the fact that 5 is irrational. This contradiction arose because of our false assumption. so, 3 + 5 irrational.

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Internal diameter of a hemispherical cup is 7 cm . Find its inner surface area.

Posted by Mehwash Khan 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Adithya Dev A 4 years, 5 months ago

Diameter = 7 cm. Therefore, Radius = 7/2 cm.// Thus, inner surface area of a cup = CSA = 2πr^2 = 2 * 22/7 * 7/2 * 7/2 = 77 cm^2//

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Find the smallest number which when increased by 3, is divisible by 12,15and 18.

Posted by Mehwash Khan 4 years, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Muskan Singh 4 years, 5 months ago

177

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Darshana Patil 4 years, 5 months ago

Zero

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Ncert exemplar is best or rs Agarwal for maths class 10 plz tell me

Posted by Money Singh 4 years, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Sunandani Chandna 4 years, 5 months ago

NCERT EXEMPLAR Is best and if other than this is RD Sharma

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Darshana Patil 4 years, 5 months ago

Ncert is best ...

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Oswaal question bank is best or any another

Posted by Money Singh 4 years, 5 months ago

CBSE > Class 10 > Mathematics

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In a triangle ABC , right angled at A , if tan A = 1.732 , find the value of sin B cos C + cos B sin C .

Posted by Chaitanya Raj 4 years, 5 months ago

CBSE > Class 10 > Mathematics

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Show that n² - 1 is divisible by 8, if 'n' is a odd positive integer

Posted by Sakkthi Shre Kannan 4 years, 5 months ago

CBSE > Class 10 > Mathematics

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2x-y=4

Posted by Aman Rajput 4 years, 5 months ago

CBSE > Class 10 > Mathematics

3 answers

Sunandani Chandna 4 years, 5 months ago

X | 0 | 2 | 4 -------------------------------------- Y | -4 | 0 | 4

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Anish Salve 4 years, 5 months ago

2x-y=4 Let's X=3 and Y=2 Putting 3&4 to the eq. =2(3)-2=4 =6-2=4 =4=4 Hence,x=3,y=2

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Irfan Muneer 4 years, 5 months ago

x=3 y=4 2x-y=4 2*3-4=6

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what is the probability that a number selected at random from the no. 1,2,2,3,3,3,4,4,4,4 will br their average

Posted by Vaibhav Garg 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Adithya Dev A 4 years, 5 months ago

Average of the no.s = (1 + 2 + 2 + 3 + 3 + 3 + 4 + 4 + 4 + 4) / 10 = 30/10 = 3// Favourable outcomes = 3,3,3 = 3// Therefore, if E means "getting average", P(E) = Favourable outcomes / Total outcomes = 3/10 = 0.3//

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Use Euclid's algorithm to find HCF of 1190 and 1445.Express the HCF in the form 1190m+1445n

Posted by Shivam Shivam 4 years, 5 months ago

CBSE > Class 10 > Mathematics

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Prove that n^2-n can be divisible by 2, where n is an odd number ???

Posted by Prashant Rai 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Adithya Dev A 4 years, 5 months ago

n^2 - n can also be written as n (n - 1) where n is an odd number. So, naturally (n - 1) becomes an even number. Thus, since any number, along with an even number, can give an EVEN product, n^2 - n is also divisible by 2.

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In the given figure, if AB ||CD, then

Posted by Saanchiaa Deka 4 years, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Nitesh Vats 4 years, 5 months ago

Ch 1 Ex 1.1 1 part 196 and 2978

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Sia ? 4 years, 5 months ago

Please ask question with complete information.

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The cost of 2 kg of apple and 1kg of grapes on a day was found to be ₹160.after a month,the cost of 4kg apple and 2 kg of grapes is ₹300.represent the situation algebraically and geometrically.

Posted by Satnaam Sidhu 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Adithya Dev A 4 years, 5 months ago

Let cost of 1kg of apples be x and cost of 1kg of grapes be y. Therefore, equations are 2x + y = 160, & 4x + 2y = 300. (algebraically)

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Which stream is best in 11

Posted by ꧁༺Sachin ༻꧂ Bhatt 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sanyam Pratap Singh 4 years, 5 months ago

All are best...... But u have to think that which stream is comfortable for you to achieve ur goals and what u want to become in future.

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If I want PCB in 11th so what maths I take Standard or Basic in 10th???

Posted by Sanyam Pratap Singh 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Adithya Dev A 4 years, 5 months ago

If you would like to continue with maths for 11th and 12th and furthermore, I would prefer you take standard maths in 10th as it will give a continuity in conceptualisation while you move from 10th to 11th. Else, you are free to take Basic maths.

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a2x2-3abx+2b2 =0

Posted by Divyanshi Agrawal 4 years, 5 months ago

CBSE > Class 10 > Mathematics

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If one of the zeroes of the quadratic polynomial (p – l)x² + px + 1 is -3, then the value of p is

Posted by Sankar Kadam 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Madhav Taneja 4 years, 5 months ago

P=4/3

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The nth term of an A.P. is given by an = 3 + 4n. The common difference is

Posted by Sankar Kadam 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Bhavana C 4 years, 5 months ago

a1=3+4(1)=3+4=7 . a2 =3+4(2)=3+8=11 ..common difference =a2-a1 11-7 =4 . Note -In the place of n substitute the term like 1,2,3.... So on & then find the difference of consecutive term .

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The LCM and HCF of two numbers 675 and 45.If one of the number is 135,then find the other number?

Posted by Ujjal Bora 4 years, 5 months ago

CBSE > Class 10 > Mathematics