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 […]
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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) The difference between the outer and inner radii of a hollow right circular cylinder of length 14 cm is 1 cm. If the volume of the used in making the cylinder is 176 cm³, find the outer and inner radii of the cylinder. Ans. Let’s draw the diagram for the given question: Here, Cylinder
Q) From the top of a building 60 m high, the angles of depression of the top and bottom of the vertical lamp post are observed to be 30° and 60° respectively.(i) Find the horizontal distance between the building and the lamp post.(ii) Find the distance between the tops of the building and the post.
From the top of a building 60 m high, the angles of depression Read More »
Q) BINGO is game of chance. The host has 75 balls numbered 1 through 75. Each player has a BINGO card with some numbers written on it. The participant cancels the number on the card when called out a number written on the ball selected at random. Whosoever cancels all the numbers on his/her card, says
BINGO is game of chance. The host has 75 balls numbered 1 through 75. Read More »
Q) A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area and the volume of the vessel. Ans. Let’s start with the diagram of the question: We
(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),