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Let , √2 is rational number √2=a,b(a,b,are coprime) √2b=a Squaring on both sides (√2b²)=a² 2b²=a²—1 b²=a²/2 'a²'is divisible by '2' 'a' is divisible by '2' a/2=m a=2m Putting in eq 1 2b²=a² 2b²=(2m)² 2b²=4m² b²=4m²/2 b²=2m² b²/2=m² m²= b²/2 'b²'is divisible by '2' 'b'is divisible by '2' But,a and b are coprime Our assumption was wrong Therefore, √2 is irrational number

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Exercise 5.2 Q no 3

Posted by Naman Shahdeo 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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Ch 1 q 3 1

Posted by Krish Anjana 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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Chapter 8.3,4-8

Posted by Harsh Thakur 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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represent the following quadratic polynomial as graph and also find the zero of the polynomial 6x square - 7 x + 2

Posted by Akshata Angadi 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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If x=7/2 and x = -3/4 are roots of the equation 8x^2-2ax-b=0 find a/b.

Posted by Anmol Kaur 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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The lcm and hcf of two numbers are 240$12 respectively. If one of the number is 60 then find the other number

Posted by Neha Saini 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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L.V.A Naidu 2 years, 5 months ago

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Activity 2: objective: to drive the formula for volume of a cube and cuboid using model and verify with example and calculation

Posted by Digpal Parihar 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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Gaurav Kumar 2 years, 5 months ago

Hvuv

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If the HCF of 408 and 1032 is expressible in the form 1032 × 2 + 408 × p, then find the value of p.

Posted by Arya Sakhare 2 years, 5 months ago

CBSE > Class 10 > Mathematics

3 answers

L.V.A Naidu 2 years, 5 months ago

24=1032*2+408*p 24=2064+408p -408p=2064-24 -408p=2040 p=2040/-408 p=-5

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L.V.A Naidu 2 years, 5 months ago

-5

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Santosh Sahani 2 years, 5 months ago

P=5.05882353

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217x+131y=913 and 131x+217y=827.

Posted by Adity Singh 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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In ∆PQR and ∆MST, angleP =55°, angleQ =25°, angleM =100° and angleS = 25°. Is ∆QPR ~∆TSM?

Posted by Debashree Dutta 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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Ajay Kumar Sahu 2 years, 5 months ago

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If the point (1,2) on the line 2x +ay =8 ,then a=

Posted by S.Muthu Samy 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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Sakshi Kolekar 2 years, 5 months ago

Here , x=1, y=2 Now we will put values in equation 2x+ay=8 Then , we have to find the value of a=? In equation , (2×1)+a×2=8 2+2a=8 2a=8-2 2a=6 2a/6 a=3 Therefore,a=3

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Virat Chauhan 2 years, 5 months ago

Here a=3

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Ragini Dushadh 2 years, 5 months ago

Here given, x=1 and y=2 Now putting the value of x and y in equation 2x+ay=8 2*1+a*2=8 2+2a=8 2a=8-2 2a=6 a=6/2 a=3

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Bhavya Raj 2 years, 5 months ago

Here, x=1 &y=2 A/q 2×1+2a=8 = 2a=8-2 = a=6/2 = a=3

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A student solved a quadratic equation and obtains roots as -4 and 3 . Part of the students work to verify the root is shown:

Posted by Balamadesh V 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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Find total cost of painting/ white washing of your house at the rate of rupees 15 per square feet Hint : find the lateral surface area and ceiling of each room and multiply like bedroom catching washroom etc. and multiply this area with given cost

Posted by Jayant Sharma 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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Find the value of p and q show that 1 and -2 are zeroes of the polynomial x3+10x2+px+q.

Posted by Garima Tamrakar 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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Q(^ 2 Ifx * a ^ 2 + ya + z = 0 And x * (a + 2) ^ 2 + y(a + 2) + z = 0 then! (where X, Y, Z, & ER)

Posted by Suryansh Attri 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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Find Tha HCF AND LCM of 8/9,10/7 and 16/81

Posted by Sritam Beast Gaming 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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X²-8x-2

Posted by Kristina Medhi 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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If the zeros of quadratic polynomial x2+(a+1)x+b are 2and-3,then find the value of a and b.

Posted by Gunjal Zade 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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If 1 and m are zeroes of the polynomial p(x)=2x^ 2 + 5x + 7 , find a polynomial whose zeroes are 21 + 3 and 2m + 3

Posted by Bhuvaneshwari Shivapur 2 years, 5 months ago

CBSE > Class 10 > Mathematics

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If m and n are zero of the polynomial 3 x square plus 11x minus 4 find the value of m by n plus n by m

Posted by Laxmi Sahu 2 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Ashish Kumar Singh 2 years, 5 months ago

n m + m n = mn m 2 +n 2 = mn (m+n) 2 −mn ⇒ n m + m n = mn (m+n) 2 −1.....(1) Given that m and n are the zeroes of the polynomial 3x 2 +11x−4. Therefore, Sum of zeroes =m+n=− a b =− 3 11 Product of zeroes =mn= a c = 3 −4 ∴ n m + m n = ( 3 −4 ) ( 3 −11 ) 2 −1=− 16 121 −1=− 16 137 Hence the value of n m + m n wil be − 16 137 .

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25°cosq

Posted by Sunny Kumar 2 years, 5 months ago

CBSE > Class 10 > Mathematics