Last seen: Jun 14, 2021
Let us say, the two consecutive positive integers be x and x + 1. Therefore, as per the given questions, x2 + (x + 1)2 = 365 ⇒ x2 + x2 + 1 + 2x ...
First number be x and Second number is 27 – x. Therefore, the product of two numbers x(27 – x) = 182 ⇒ x2 – 27x – 182 = 0 ⇒ x2 – 13x – 14x + 1...
Let us say, number of toys produced in a day be x. Therefore, cost of production of each toy = Rs(55 – x) Given, total cost of production of the t...
Let us say, the number of marbles John have = x. Therefore, number of marble Jivanti have = 45 – x After losing 5 marbles each, Number of marble...
(i) √2 x2 + 7x + 5√2=0 Taking LHS, => √2 x2 + 5x + 2x + 5√2 => x (√2x + 5) + √2(√2x + 5)= (√2x + 5)(x + √2) The roots of this equation, ...
(i) Given, x2 – 3x – 10 =0 Taking LHS, =>x2 – 5x + 2x – 10 =>x(x – 5) + 2(x – 5) =>(x – 5)(x + 2) The roots of this equation, x2 – ...
The speed of train = x km/h Time taken to travel 480 km = 480/x km/hr As per second condition, the speed of train = (x – 8) km/h Also given, th...
Let us consider, Age of Rohan’s = x years Rohan’s mother’s age = x + 26 After 3 years, Age of Rohan’s = x + 3 Age of Rohan’s mother will be...
Let us consider, The first integer number = x Thus, the next consecutive positive integer will be = x + 1 Product of two consecutive integers = ...
Breadth of the rectangular plot = x m Thus, the length of the plot = (2x + 1) m. we know, Area of rectangle = length × breadth = 528 m2 Puttin...
(i) Given, (x + 2)3 = 2x(x2 – 1) By using the formula for (a + b)2 = a2+ 2ab+b2 ⇒ x3 + 8 + x2 + 12x = 2x3 – 2x ⇒ x3 + 14x – 6x2 – 8 = 0 Since ...
(i) Given, (2x – 1)(x – 3) = (x + 5)(x – 1) By using the formula for (a + b)2 = a2+2ab+b2 ⇒ 2x2 – 7x + 3 = x2 + 4x – 5 ⇒ x2 – 11x + 8 = 0 Sinc...
(i) Given, (x – 2)(x + 1) = (x – 1)(x + 3) By using the formula for (a + b)2 = a2+2ab+b2 ⇒ x2 – x – 2 = x2 + 2x – 3 ⇒ 3x – 1 = 0 Since the abo...
Following measures were taken: Education departments of the government were set up to extend control over all matters regarding education. A syst...
The following measures were taken under the English Education Act 1835: English was made the medium of instruction for higher education. Promotio...
The term 'Vernacular’ refers to a local language or dialect as distinct from what is known as the standard language. In colonial countries like Indi...
Other Company officials did not approve the ideas of the Orientalists. They began to criticise the Orientalist- vision of learning. They saved that th...
Many Company officials felt that institutions should be set up to encourage the study of ancient Indian texts and teach Sanskrit and Persian literatur...
He viewed his school as an abode of peace where living in harmony with nature, children would cultivate their natural creativity.
Tagore’s Shantmiketan was established in a rural setting, 100 kilometres away from Calcutta. As it was far from the din and bustle of the city it was ...