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Divyanshi Mishra 1 year, 3 months ago

Assume that √5 is a rational number √5=p/q , where p&q are co- prime p=√5q On squaring both sides , we get P^2 =5q^2 (equation 1) P^2 is divisible by 5 P is also divisible by 5 ( by theorem) P=5m From equation 1 =(5m)^2 = 5q^2 = 25m^2= 5q^2 =q^2 =5m q^2 is divisible by 5 q is also divisible by 5 (by theorem) Here we can conclude that p&q both have atleast 5 as a common factor Which contradict our assumption that p&q are co-prime Hence √5 is an irrational number
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Tanvi Verma 1 year, 3 months ago

Let rohan age = x His mother age =x+26 After 3 years Rohan age =x+3 His mother age=x+29 ATQ (x+3)(x+29)=360 Solve this equation you get your answer if x is negative or in fraction neglect it because age cannot be negative or not in fraction .

Kunal Chauhan 1 year, 3 months ago

let the age of Rohan be x and his mother age be x+26 case 1 x(x+26)=360 x² + 26x = 360 x²+26x-360=0 so x=10(Rohan age) mother age =36
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Rahul 🗿 V 1 year, 3 months ago

KOye na jald depression ke din khatam honge :3

Megha Thakur 1 year, 3 months ago

Same here yr
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Mayank Singh 1 year, 3 months ago

1 st find the value of AB ,BC AND AC BY DISTANCE FORMULA AND CHECK AB +BC =AC IF ITIS EQUAL SO THESE POINTS ARE COLLINEAR

Mayank Saarthak 1 year, 3 months ago

Yes these points are collinear..

Bichitra Bhatta 1 year, 3 months ago

8+48

Haret Gujjar 1 year, 3 months ago

Yes
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Gaurav Kumar 1 year, 3 months ago

First of all factorise them. Solve it like polynomials. Then let first answer be alpha and second be beeta
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Gaurav Kumar 1 year, 3 months ago

(445-4),(572-5),(699-6) and the answer of these three no. Find their HCF.
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Miraj Sharma 1 year, 3 months ago

Hii
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Mayank Saarthak 1 year, 3 months ago

Cos²Q
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Bhargava Bharath 1 year, 3 months ago

The product of the zeros of a quadratic equation is equal to the constant term divided by the coefficient of the squared term. So, for the quadratic equation 3kx² - 7x + 11, the product of the zeros would be: x * (1/x) = 1 Now, we can use the sum of the zeros of a quadratic equation, which is equal to the negative coefficient of the linear term divided by the coefficient of the squared term. So, for our equation: x + (1/x) = -(-7) / 3k x + (1/x) = 7 / 3k Now, we have two equations: x * (1/x) = 1 x + (1/x) = 7 / 3k Let's simplify the first equation: x * (1/x) = 1 1 = 1 Now, for the second equation, let's solve for x + (1/x): x + (1/x) = 7 / 3k Since we know that x * (1/x) = 1, we can multiply both sides of the second equation by x: x * (x + (1/x)) = x * (7 / 3k) This simplifies to: x² + 1 = 7x / 3k Now, let's find the common denominator on the right side: x² + 1 = (7x * x) / (3k * x) x² + 1 = (7x²) / (3kx) Now, let's bring all terms to one side of the equation: x² + 1 - (7x²) / (3kx) = 0 To solve this quadratic equation for x, we need to find the common denominator: (3kx * x² + 3kx - 7x²) / (3kx) = 0 Now, we need to find the LCD (Least Common Denominator) of the terms in the numerator: LCD = 3kx Now, let's multiply both sides of the equation by the LCD to get rid of the fraction: 3kx * (3kx * x² + 3kx - 7x²) / (3kx) = 0 * (3kx) This simplifies to: 3kx * (3kx * x² + 3kx - 7x²) = 0 Expanding the expression: 9k²x³ + 3k²x² - 21kx³ = 0 Combine the x³ terms: (9k² - 21k) * x³ + 3k²x² = 0 For this equation to be true for all x, the coefficients of x³ and x² must be zero: 9k² - 21k = 0 (Coefficient of x³) 3k² = 0 (Coefficient of x²) Solving the second equation: 3k² = 0 k² = 0 k = 0 Now, for the first equation: 9k² - 21k = 0 9(0)² - 21(0) = 0 0 - 0 = 0 Since both equations are true when k = 0, the value of k that satisfies the conditions is k = 0.
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Harsh Vardhan 1 year, 3 months ago

1

Adwaith K 1 year, 3 months ago

1
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Haret Gujjar 1 year, 3 months ago

Ec equal BD

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