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If sin theta=a²-b²÷a²+b²,find the value of other five trigonometric ratios

Posted by Fareha Manzar 1 year, 6 months ago

CBSE > Class 10 > Mathematics

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Prove that root 2 + root 5 is an irrational number

Posted by Amishi Agarwal 1 year, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Muskaan Syed 1 year, 6 months ago

Let's assume that √2 + √5 is a rational number. √2+√5=a/b Sq. On both sides =2+5+2√10= a^2/b^2 2√10=a^2/b^2 -7 2√10=a^2-7/b^2. √10=a^2-7/2b^2 . It's a fact that √10 is irrational. Hence our assumption that √2+√5 is rational is incorrect..... Hence, √2+√5 is irrational

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To prove root 2 is irrational

Posted by Amishi Agarwal 1 year, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

B 01 Rojalin Behera 1 year, 6 months ago

Let assume that √2 is rational So, √2=a/b (a and b are positive co-prime number and b is not equal to 0) i.e. HCF (a,b)=1 b√2=a Squaring both the sides, we get (b√2)^2=a^2 =2b^2=a^2....(i) =b^2=a^2/2 =a^2/2 (if P is a prime number, if P divides a^2 then P divides a) =a/2 So, a=3c for some integer c Putting a=2c in equation (i) 2b^2=(2c)^2 =2b^2=4c^2 =b^2=2c^2 =b^2/2=c^2 =b^2/2 (If P is a prime number, if P divides a^2 then P divides a) =b/2 So, a and b have another prime factor 2 But this contradicts the fact that a and b are co-prime number. This contradiction has arisen due to our incorrect assumption. So, √2 is an irrational number. Hence, proved.

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2cos 30-1

Posted by Cccc Bbb 1 year, 6 months ago

CBSE > Class 10 > Mathematics

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Sourav Singh 1 year, 6 months ago

-0.133974596

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If alpha and beta are the zeroes of polynomial ax²+bx+c, find the value of alpha²+beta²

Posted by Paridhi Saxena 1 year, 6 months ago

CBSE > Class 10 > Mathematics

3 answers

Sourav Singh 1 year, 6 months ago

α2+β2=a2b2−2ac

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Ashish Ashish 1 year, 6 months ago

Paper to easy hota hai ya hard

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Ashish Ashish 1 year, 6 months ago

Sir mai 10th compartment kar rha hu

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In a school there are two sections A and B of class X . There are 48 students in section A and 60 students in section B. Determine the least number of books required for the library of school so that the books can be distributed equally among all students of each section?

Posted by Kaushik Krishna 1 year, 6 months ago

CBSE > Class 10 > Mathematics

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Aditya D 1 year, 6 months ago

LCM of 48 and 60 = 240 bookd

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Find the zeros of the polynomial x⁴-2x²+3x³+5x-2÷x+2

Posted by Mohammed Ali Rahib 1 year, 6 months ago

CBSE > Class 10 > Mathematics

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HCF and LCM of 6,72,120

Posted by Prashasti Jk 1 year, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

B 01 Rojalin Behera 1 year, 6 months ago

6=2×3 72=2×2×2×3×3 120=2×2×2×3×5 HCF(6,72,120)=2×3 =6 LCM(6,72,120)=2^3×3^2×5 =8×9×5 =360

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If the product of the zeroes of the polynomial ax2 – 6x – 6 is 4, then find the value of a. Also find the sum of zeroes of the polynomial

Posted by Ananya Tiwari 1 year, 6 months ago

CBSE > Class 10 > Mathematics

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Show that the polynomial f(x) = x⁴+4x²+6 has no zeros

Posted by Cute Boy 1 year, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Sourav Singh 1 year, 6 months ago

Let x^2 =t then the given equation reduces to t^2+4t+6=0 D=b^2 −4ac D=(4)^2−4(6)(1) D=16−24=−8 D<0 Discriminant is less than zero,so the given equation has imaginary roots. As all the 3 terms in this polynomial are all positive, this polynomial can never become zero for real values of x. Hence, the given polynomial has no real

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Parv Jain 1 year, 6 months ago

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Find p and q , if x = -1/3 and 2/3 are the roots of the equation px² -3x + q = 0

Posted by Kavya Singla 1 year, 6 months ago

CBSE > Class 10 > Mathematics

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Is it possible to design a rectangular park of perimeter 80m and area 400m sq. If so find its length and breath

Posted by Prateek Singh 1 year, 6 months ago

CBSE > Class 10 > Mathematics

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The prime factors of 3825

Posted by Shreya Agnihotri 1 year, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Yukti - 1 year, 6 months ago

Prime factors=3²*5²*17

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Shreya Agnihotri 1 year, 6 months ago

3×3×5×5×17

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Use euclids division algorithm to find H.C .F of 136,170,255

Posted by Pawan Verma 1 year, 6 months ago

CBSE > Class 10 > Mathematics

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Can the number 16n, n being a natural number and with the digit zero give reason

Posted by Pallavi Maravi 1 year, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Parv Jain 1 year, 6 months ago

16ⁿ = (2×2×2×2)ⁿ Prime factorisation of 16ⁿ does not contain the prime factor 5. Therefore, 16ⁿ cannot end with digit 0 for any natural number n

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X-2y=8 5x-10y=C

Posted by Mayank 1234 1 year, 6 months ago

CBSE > Class 10 > Mathematics

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Mayank 1234 1 year, 6 months ago

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Prove that root 17 is a irrational number

Posted by Piyush Rajpurohit 1 year, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Shivam Kumar 1 year, 6 months ago

Let, assume that ✓17 is rational number. We will prove it by contradiction ✓=p/q, ( where p and q are coprime integer & q does not = 0) Squaring on both sides (✓17)2 = (p/q)2 17= p2/q2 P2 = 17 q2 < first equation Here 17 divide p and 17 divide p2 also P2/17= c , ( where c is any positive integer) P2 = 17c Squaring on both sides P2 = 289c2 < second equ From 1 and 2 17c = 289 c2 c = 17 c2 17 divide c and 17 divide c2 also We can observe that 17 is common factor of p and q This contradict the fact that p and q are coprime So, our assumption that✓17 is rational is wrong Hence, proved that ✓17 is irrational

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a=-2 , d=0

Posted by Abuzar Turkei 1 year, 6 months ago

CBSE > Class 10 > Mathematics

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Find x^2-25x+156=0 by formula method

Posted by Devershika Nayak 1 year, 6 months ago

CBSE > Class 10 > Mathematics

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state the condition so that the straight line as. graphs of linear equation a,x +b,y+c,0 and a²x+b²y+c²=0 intersect each

Posted by Thari S 1 year, 6 months ago

CBSE > Class 10 > Mathematics

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Prove that √3 is an irrational number.

Posted by Bhuvaneshwari Shivapur 1 year, 6 months ago

CBSE > Class 10 > Mathematics

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2 root 8

Posted by Mahi Singh ❤️‍🔥❤️‍🔥 1 year, 6 months ago

CBSE > Class 10 > Mathematics

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Find the HCF of 26676

Posted by Dasani Ia I Sungoh 1 year, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Bhuvaneshwari Shivapur 1 year, 6 months ago

Solution:- Euclid's division lemma : Let a and b be any two positive Integers . Then there exist two unique whole numbers q and r such that a=bq+r , 0≤r<b Now , start with a larger integer , that is 337554, Apply the division lemma to 337554 and 26676, 337554=26676×12+17442 26676=17442×1+9234 17442=9234×1+8208 9234=8208×1+1026 8208=1026×8+0 The remainder has now become zero , so our procedure stops. Since the divisor at this stage is 1026 . ∴HCF(337554,26676)=1026

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Determine the ap whose third term is 16 and the 7th term exceeds the 5th term by 12

Posted by Shz Khatri 1 year, 6 months ago

CBSE > Class 10 > Mathematics

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Prove that √5 is irrational number.

Posted by Bhuvaneshwari Shivapur 1 year, 6 months ago

CBSE > Class 10 > Mathematics

3 answers

Kaushik Krishna 1 year, 6 months ago

Let √5 a rational number Where √5=a/b and a and b are co primes and b not equal to 0 Square them 5=a square / b square Cross multiply 5b square is equal to a square B is a factor of a B is also a factor of a square Now take A is equal to 5 c Square them A square is equal to 25 c square We know that a square is equal to 5 b square So now 5 b square is equal to 25 c square Simplify them We get b square is equal to 5 c square Now 5 is a factor of b square and b It contradict to our assumption that a and b are co primes Hence our assumption is wrong Therefore √5 is an irrational number Hence proved

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Sureksha Sp 1 year, 6 months ago

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Joshi Priya Dharmeshkumar 1 year, 6 months ago

Let √5 =a/b (where a/b is an rational number where a/b are co-primes) Squaring both the sides 5 = a2/b2 5b2 = a2 ---1 Thus 5 divides a2 , 5 divides a Now take any other integer as c such that a=5c squaring both the sides a2=25c2 --- 2 put a value from eq-1 into eq-2 5 b2 =25 c 2 b2=5c2 5 divides b2 and 5 divide b We let a&b are co-primes but here we are getting 5 as a factor of both a &b. So our prediction that a&b are co-primes is wrong Thus ✓5 is an Irrational number.

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Find the value of cosec30° geometrical

Posted by Damor Dhruv 1 year, 6 months ago

CBSE > Class 10 > Mathematics