CHAPTER-5 ARITHMETIC PROGESSIONS QUESTION -1 In which of the following situations, does the list of numbers involved make as arithmetic progression and why? (i) The taxi fare after each km when the fare is Rs 15 for the first km and Rs 8 for each additional km. (ii) The amount […]
CLASS-10 MATH’S EXERCISE 4.2 Q-2
CHAPTER-4 QUADRATIC EQUATIONS QUESTION -2 Solve the problems given in Example 1 SOLUTION: The problem in example 1 was as follows: Represent the following situations mathematically: (i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they […]
CLASS-10 MATH’S EXERCISE 4.2 Q-1
CHAPTER-4 QUADRATIC EQUATIONS QUESTION -1 Find the roots of the following quadratic equations by factorisation: ANSWER: Roots of this equation are the values for which i.e., x = 5 or x = −2 Roots of this equation are the values for which i.e., x = −2 or x Roots of […]
CLASS-10 MATH’S EXERCISE 4.1 Q-2
CHAPTER-4 QUADRATIC EQUATIONS QUESTION -2 Represent the following situations in the form of quadratic equations.(i) The area of a rectangular plot is 528 m2. The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.(ii) The […]
CLASS-10 MATH’S EXERCISE 4.1 Q-1
CHAPTER-4 QUADRATIC EQUATIONS QUESTION -1 Check whether the following are quadratic equations: ANSWER: It is of the form Hence, the given equation is a quadratic equation. It is of the form Hence, the given equation is a quadratic equation. It is of the form Hence, the given equation is not […]
CLASS-10 MATH’S EXERCISE 3.3 Q-2
CHAPTER-3 PAIR OF LINEAR EQUATIONS IN TWO VARIABLES EXERCISE 3.3 QUESTION -2 Form the pair of linear equations in the following problems, and find theirsolutions (if they exist) by the elimination method:(i) If we add 1 to the numerator and subtract 1 from the denominator, a fractionreduces to 1. It […]
CLASS-10 MATH’S EXERCISE 3.2 Q-3
CHAPTER-3 PAIR OF LINEAR EQUATIONS IN TWO VARIABLES EXERCISE 3.2 QUESTION -3 Form the pair of linear equations for the following problems and find theirsolution by substitution method. (i) The difference between two numbers is 26 and one number is three times theother. Find them. SOLUTION: Let the two numbers […]
CLASS-10 MATH’S EXERCISE 3.2 Q-2
CHAPTER-3 PAIR OF LINEAR EQUATIONS IN TWO VARIABLES EXERCISE 3.2 QUESTION -2 Solve 2x + 3y = 11 and 2x – 4y = – 24 and hence find the value of ‘m’ forwhich y = mx + 3. SOLUTION: 2x + 3y = 11…………………………..(I)2x – 4y = -24………………………… (II)From equation […]
CLASS-10 MATH’S EXERCISE 3.1 Q-2
CHAPTER-3 PAIR OF LINEAR EQUATIONS IN TWO VARIABLES EXERCISE 3.1 QUESTION -2 On comparing the ratios a1/a2 , b1/b2 , c1/c2 find out whether the linesrepresenting the following pairs of linear equations intersect at a point, areparallel or coincident: SOLUTION: (i) Given expressions; Comparing these equations with a1x+b1y+c1 = 0And […]
CLASS-11 MICRO-ECONOMICS Q-1
CHAPTER-3 PRODUCTION AND COSTS QUESTION:1 Explain the concept of a production function. Answer: The production function of a firm depicts the relationship between the inputs used in the production process and the final output. It specifies how many units of different inputs are needed in order to produce the maximum […]