Q. Find the values of k for following quadratic equation, so that it has equal roots: 2×2 + kx + 3 = 0 Ans: Let’s compare the given equation with standard quadratic equation: Standard quadratic equation: a x2 + bx + c = 0 Given quadratic equation: 2×2 + kx + 3 = 0 By comparing these two […]
quadratic
Q. Sum of the areas of two squares is 468 m2. If the difference of their perimeters is 24 m, find the sides of the two squares. Ans: Let consider the sides of the two squares be x m and y m. We know that the area of a square is given by: Hence, area
Q. An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11 km/h more than that of the passenger train, find the average speed of the
Q. A train travels 360 km at a uniform speed. If the seed had been 5 km/h more, it would have taken 1 jour less for the same journey. Find the speed of the train. Ans: Let take the speed of the train be x km/h. We know that the time ‘T’ taken to cover
(Q) A rectangular floor area can be completely tiled with 200 square tiles. If the side length of each tile is increased by 1 unit, it would take only 128 tiles to cover the floor.(i) Assuming the original length of each side of a tile be x units, make a quadratic equation from the above information.
A rectangular floor area can be completely tiled with 200 square tiles. Read More »
(Q) The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers. Ans: Let the smaller number be x and larger number be y. By 1st condition, …. (i) By 2nd condition, … (ii) By substituting values of in equation (i),
(Q) Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find the Rohan’s present age. Ans: Let’s Rohan’s age be km /h Hence, his mother’s age is 3 years later, Rohan’s age will be: and his mother’s age
(Q) A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km / h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train. Ans: Let’s the speed of the train be km /h
(Q) A cottage industry produces a certain number of pottery articles in a day. it was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs. 90,
4.2.6. A cottage industry produces a certain number of pottery articles in a day. Read More »
(Q) The altitude of a right angle triangle is 7 cm less than its base, If the hypotenuse is 13 cm, find the other two sides. Ans: Let’s the height of the triangle be By given condition, it is 7 cm less than it base, or we can say that, its base is 7 cm