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Hence any integer is of one of the form 2q, 2q+1. Hence n(n+1) = 2((2q+1)(q+1)), which is even. Hence n(n+1) is always even. Hence the product of two consecutive integers is always divisible by 2.

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Which of the following is a polynomial? a) √2x²-3√3x + √6 b) x³/²- x+x¹/² +1 c) x² - 5x+4√x + 3 d) √x + 1/√x

Posted by Jadavarman Devendra Pandiyar.R 1 week, 1 day ago

CBSE > Class 10 > Mathematics

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Advaith Krishna 1 week, 1 day ago

A)√2x2-3√3x+√6

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Displacement and rotation of a geometrical figure

Posted by The -Bandits 1 week ago

CBSE > Class 10 > Mathematics

1 answers

Sia 🤖 1 week ago

1.A cut out of a geometrical figure such as a triangle is made and placed on a rectangular sheet of paper marked with X and Y-axis.

2.The co-ordinates of the vertices of the triangle and its centroid are noted.

3.The triangular cut out is displaced(along x-axis, along y-axis or along any other direction.)

4.The new co-ordinates of the vertices and the centroid are noted again.

5.The procedure is repeated, this time by rotating the triangle as well as displacing it. The new co-ordinate of vertices and centroid are noted again. Displacement and rotation of a geometrical figure.

6.Using the distance formula, distance between the vertices of the triangle are obtained for the triangle in original position and in various displaced and noted positions.

7.Using the new coordinates of the vertices and the centroids, students will obtain the ratio in which the centroid divides the medians for various displaced and rotated positions of the triangles.

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The ratio of LCM and HCF of the least composite and the least prime numbers is 1:2 2:1 1:1 1:3

Posted by Dev Singh 1 week, 1 day ago

CBSE > Class 10 > Mathematics

1 answers

Rajat Roshan 1 week, 1 day ago

2:1

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35x+23y=209 ; 23x+35y=197

Posted by Arsh Deep Kaur 1 week, 1 day ago

CBSE > Class 10 > Mathematics

1 answers

Vansh Kumawat 1 week, 1 day ago

x=4 , y=3 by substitution method

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x-y=2&2x-y=8 draw it on graph

Posted by Gurubasavaraj Angadi 1 week, 1 day ago

CBSE > Class 10 > Mathematics

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If under root ab is an rational number prove that under root a + under root b is an irrational number

Posted by Monu Kumar X 'B' 1 week, 2 days ago

CBSE > Class 10 > Mathematics

1 answers

Vallabha B. M. 1 week, 2 days ago

Linear equation formulas

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If one of the zeroes of the cubic polynomial x3 + ax² + bx + c is -1, then the product of the other two zeroes is

Posted by Sameer Sharma 1 week, 2 days ago

CBSE > Class 10 > Mathematics

1 answers

Divyanshi Saxena 1 week, 2 days ago

Let α,β be the other zeros of the given polynomial x 3 +ax 2 +bx +c Sum of the zeros = coefficient of x 3 −coefficient of x 2 ⇒−1+α+β= 1 −a =−a ⇒α+β=−a+1 (i) Again, (−1)α+αβ+(−1)β= coefficient of x 3 −coefficient of x ⇒−α+αβ−β= 1 b =αβ=b+α+β α+β=−a+1 , from (i)) =b−a+1

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Ex 8.3

Posted by Towfic Islam 1 week, 2 days ago

CBSE > Class 10 > Mathematics

2 answers

Shayam Sahani 6 days, 15 hours ago

Sare answer

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Nitesh Meena 1 week, 2 days ago

Bhio

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Distance of point (4,a)from x axis is half its distance from yaxis then a =

Posted by Prashanth .N 1 week, 2 days ago

CBSE > Class 10 > Mathematics

1 answers

Prashanth .N 1 week, 2 days ago

2 I think

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Find the zeros of a polynomial 16 X square - 25 and verify the relationship between the zeros and the cofficient

Posted by Dhanraj Pandey 1 week, 2 days ago

CBSE > Class 10 > Mathematics

1 answers

Sumit Yadav 1 week, 2 days ago

p(x) = 16x2 - 25 = 4x2 - 52 = ( 4x - 5 ) ( 4x + 5 ) 4x - 5 = 0 4x = 5 x = 5 / 4 or alpha = 5 / 4 4x + 5 = 0 4x = -5 x = -5 / 4 or beta = -5/ 4 !st relation, ax2 + bx +c a = 16 , b = 0 and c = -25 alpha + beta = - b / a LHS = RHS 5 / 4+ - 5 / 4 = - 0 / 16 0 = 0 L.H.S = R.H.S 2nd relationship Alpha x beta = c / a LHS = RHS 5 / 4 x - 5/ 4 = - 25 / 16 -25 / 16 L.H.S = R.H.S

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Trigonometry 8.4 5(5)

Posted by Sankar Sss 1 week, 3 days ago

CBSE > Class 10 > Mathematics

1 answers

Sumit Yadav 1 week, 2 days ago

(v) (cos A – sin A + 1) / (cos A + sin A – 1) = cosec A + cot A using the identity cosec2A = 1 + cot2A Solving LHS Multiplying numerator and denominator by (cot A – 1 + cosec A) = (cot2A + 1 + cosec2A – 2*cot A – 2*cosec A + 2*cot A*cosec A) / (cot2A – (1 + cosec2A – 2*cosec A)) = (2*cosec2A – 2*cot A – 2*cosec A + 2*cot A*cosec A) / (cot2A – 1 – cosec2A + 2*cosec A) = (2* cosec A *(cosec A + cot A) – 2*(cosec A + cot A)) / (cot2A – 1 – cosec2A + 2*cosec A) = ((cosec A + cot A) * (2*cosec A – 2 )) / (2*cosec A – 2) = cosec A + cot A = RHS Hence Proved

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A two digit number is such that the product of its digit is 35. If 18 is added to the number, the digits interchange their place. Find the number.

Posted by Ashu Kumar 1 week, 3 days ago

CBSE > Class 10 > Mathematics

1 answers

Khushi Kulshrestha 1 week, 3 days ago

57 is the answer

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chapter 6 exercise 6.1

Posted by Kanchan Kumawat 1 week, 3 days ago

CBSE > Class 10 > Mathematics

2 answers

Chahak Nashine 1 week, 3 days ago

Q1 (i) similar (ii) similar (iii) equilateral Q2 (i) 2 equilateral triangles of length 2&4 cms. 2 squares of length 1&2 cms. (ii) trapezium & square Triangle & rectriangle. Q3 They are not similar as their corresponding sides are proportional i.e 1:2 but their corresponding angles are not equal.

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Agrim Mishra 1 week, 3 days ago

Lin

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Posted by Aryan Pradhan 1 week, 3 days ago

CBSE > Class 10 > Mathematics

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A no when divided by 143 leave 31 as remainder what will be the remainder when the same no is divided by 13

Posted by Manish Kumar 1 week, 3 days ago

CBSE > Class 10 > Mathematics

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Sia 🤖 1 week, 3 days ago

Let the given number when divided by 143 give q as quotient and 31 as remainder. Then, number = 143q + 31 { 13×11q+13×2+5)=13×(11q+2)+5
So , the same number when divided by 13 gives 5 as remiander.

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A forester wants to plant 66 apple trees,88 banana trees and 110 mango trees in equal rows. Also he wants to make distinct rows of trees. The number of minimum rows required are

Posted by Sunita Ramesh 1 week, 4 days ago

CBSE > Class 10 > Mathematics

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Prerak Soni 1 week, 4 days ago

5x-4y+8=0 7x+6y-9=0

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Sunita Ramesh 1 week, 4 days ago

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SecA-1+Sec+1

Posted by Sumit Kumar 1 week, 4 days ago

CBSE > Class 10 > Mathematics

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Rohan Kumar Thakur 1 week, 4 days ago

SecA -1+SecA+1=SecA+SecA=2SecA

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If 13

Posted by Æshìsh Kùmàr 1 week, 4 days ago

CBSE > Class 10 > Mathematics

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Kunal Yadav 1 week, 3 days ago

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

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The dependent pair of linear equations is always

Posted by Shobhit Baghel 1 week, 4 days ago

CBSE > Class 10 > Mathematics