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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 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Advaith Krishna 4 years, 5 months ago

A)√2x2-3√3x+√6

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Displacement and rotation of a geometrical figure

Posted by The -Bandits 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 4 years, 5 months 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 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Rajat Roshan 4 years, 5 months ago

2:1

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

Posted by Arsh Deep Kaur 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Vansh Kumawat 4 years, 5 months 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 4 years, 5 months 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' 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Vallabha B. M. 4 years, 5 months 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 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Divyanshi Saxena 4 years, 5 months 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 4 years, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Shayam Sahani 4 years, 5 months ago

Sare answer

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Nitesh Meena 4 years, 5 months 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 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Prashanth .N 4 years, 5 months 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 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sumit Yadav 4 years, 5 months 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 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sumit Yadav 4 years, 5 months 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 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Khushi Kulshrestha 4 years, 5 months ago

57 is the answer

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chapter 6 exercise 6.1

Posted by Kanchan Kumawat 4 years, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Chahak Nashine 4 years, 5 months 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 4 years, 5 months ago

Lin

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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 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 4 years, 5 months 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 4 years, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Prerak Soni 4 years, 5 months ago

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

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Sunita Ramesh 4 years, 5 months ago

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SecA-1+Sec+1

Posted by Ankit Kumar 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Rohan Kumar Thakur 4 years, 5 months ago

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

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If 13

Posted by Æshìsh Kùmàr 4 years, 5 months ago

CBSE > Class 10 > Mathematics

0 answers

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The dependent pair of linear equations is always

Posted by Shobhit Baghel 4 years, 5 months ago

CBSE > Class 10 > Mathematics

3 answers

C.J.Ramiya Krishna 4 years, 5 months ago

Consistent

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Harshika Yadav 4 years, 5 months ago

consistent

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Mishty Panchal 4 years, 5 months ago

Consistent

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Asha has only ₹1 and ₹2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is ₹75, then the number of ₹1 and ₹2 coins are, respectively

Posted by Nishita Shah 4 years, 5 months ago

CBSE > Class 10 > Mathematics

4 answers

Khushi Kulshrestha 4 years, 5 months ago

1 rupee coins -25 &2 rupee coins -25

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Harshika Yadav 4 years, 5 months ago

Let number of Re.1 coin =x Number of Re. 2 coin =y A/q, x+y=50 ..............................(i) x+2y=75 ..............................(ii) On Solving eqn. (i) and (ii), we get x=25 and y=25

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Anmol B 4 years, 5 months ago

GIVEN: Total no. of coins = 50 Total amount of money = ₹75 TO FIND: No. of ₹1 and ₹2 coins. SOLUTION: Let the no. of ₹1 coins be x and ₹2 coins be y. So, 1(no. of ₹1 coins)+2(no. of ₹2 coins) = Total money 1x+2y=75 --------(1) Now, No. of ₹1 coins + No. of ₹2 coins = Total no. of coins x+y=50 ----------(2) Subtracting eq.(2) from eq.(1) (x+2y)-(x+y)=75-50 x+2y-x-y=25 y=25 Now, From eq.(2) x+y=50 x+25=50 x=50-25 x=25 Therefore, there are 25 no. of ₹1 coins and 25 no. of ₹2 coins.

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Niyati Sharma 4 years, 5 months ago

1rupee coins- 25, 2rupeecoins- 25

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A contractor plans to install two slides for the children below the age of 5 years, she prefers to have a slide whose top is at a height of 1.5 m, and is inclined at an angle of 30 to the ground whereas for elder children, she wants to have a steep slide at a height of 3m, and inclined at an angle of 60 to the ground. What should be the length of the slide in each case?

Posted by Taniya Dandriyal 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 4 years, 5 months ago

In the first case:

Height of slide= 1.5 m and angle of elevation = 30°
Now,
{tex}\sin \theta=\frac{p}{h}{/tex}
where p = perpendicular, i.e. height of the slide and h = hypotenuse, i.e. length of the slide and {tex}\theta{/tex} is the angle of elevation
{tex}\sin 30^{\circ}=\frac{1.5}{h}{/tex}
{tex}\frac{1}{2}=\frac{1.5}{h}{/tex}
Hence, h = 3 m
In the second case:

Height of slide, = 3 m, angle of elevation = 60°
{tex}\sin \theta=\frac{p}{h}{/tex}
{tex}\sin 60^{\circ}=\frac{3}{h}{/tex}
{tex}\frac{\sqrt{3}}{2}=\frac{3}{h}{/tex}
Hence, h = {tex}2{\sqrt{3}}{/tex} m
Therefore, the length of the slide in the first and the second case are 3 m and {tex}2{\sqrt{3}}{/tex} m respectively.

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Cot 30 + sec 45 + cot 0 - tan 90

Posted by Ansh Tyagi 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Niyati Sharma 4 years, 5 months ago

Not defined

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if in 30 seconds the wheel complete 1 rotation and on a single ticket a person is allowed for only 10 minutes. what is the distance covered by this wheel on a single ticket

Posted by Manish Routhan 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Ansh Tyagi 4 years, 5 months ago

Half rotate

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What is consistent and inconsistent

Posted by Simran Jaiswal 4 years, 5 months ago

CBSE > Class 10 > Mathematics

2 answers

Sia ? 4 years, 5 months ago

A consistent system of equations has at least one solution, and an inconsistent system has no solution.

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Saksham Mishra 4 years, 5 months ago

Consistent means there is 1 or more solution to any equation Ex. Coincident and intersecting lines Inconsistent means there is no solution to any quadratic equation Ex. Parallel line

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Root 1+cos theta/1-cos theta

Posted by Sreeram S Nair 4 years, 5 months ago

CBSE > Class 10 > Mathematics