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Q) Find the ratio in which the point (- 1, k) divides the line segment joining the points (- 3, 10) and (6, – 8). Also, find the value of k. Ans:Â Step 1: Finding the division ratio: Now, by section formula, coordinates of point P (X, Y) which lies between two points (x1, y1), […]
Find the ratio in which the point (- 1, k) divides the line segment joining the points Read More »
Q) The age of the father is twice the sum of the ages of his two children. After 20 years, his age will be equal to the sum of the ages of his children. Find the present age of the father. Ans: Let’s consider Father’ age be X and children’s age be Y and Z
Q)Â Two water taps together can fill a tank in 3 hours. The tap of larger diameter takes 5 hours less than the smaller one to fill the tank separately. Find the time (in hrs) which each tap can separately fill the tank. Ans:Â It is given that, Time taken by both water taps together =
Two water taps together can fill a tank in 3 1/3 hours. Read More »
Q) How many numbers lie between 10 and 300, which when divided by 4 leave a remainder 3? Also find their sum? Ans:Â Step 1: Since we need to find out numbers divisible by 4 between 10 and 300. These numbers will be in an AP where common difference will be 4. Let’s find out
Q) Find the sum of all integers between 50 and 500, which are divisible by 7. Ans:Â Step 1: Let’s find out 1st term and last term. Since we need to find out numbers divisible by 7 between 50 and 500. These numbers will be in an AP where common difference will be 7. 1st
Find the sum of all integers between 50 and 500, which are divisible by 7. Read More »
Q) Draw the graph of the following equations: x + y = 5, x – y = 5, and (i) find the solution of the equations from the graph. (ii) shade the triangular region formed by the lines and the y-axis. Ans: (i) Solution of the equations: Step 1: Let’s find the points on both
Draw the graph of the following equations: x + y = 5, x – y = 5, and Read More »
Q) Find the area of the minor and the major sectors of a circle with radius 6 cm, if the angle subtended by the minor arc at the centre is 60 deg (Use pi = 3.14 ) Ans: Let’s draw the diagram for better understanding: Here, we are given that θ = 600, r =
Find the area of the minor and the major sectors of a circle with radius 6 cm, Read More »
Q) If a chord of a circle of radius 10 cm subtends an angle of 60 deg at the centre of the circle, find the area of the corresponding minor segment of the circle. (Use pi = 3.14 and sqrt(3) = 1.73 ) Ans: Let’s draw the diagram for better understanding:Â Step 1: Here, we
If a chord of a circle of radius 10 cm subtends an angle of 60 deg at the centre Read More »
Q) A tent is in the shape of a right circular cylinder up to a height of 3 m and then a right circular cone, with a maximum height of 13.5 m above the ground. Calculate the cost of painting the inner side of the tent at the rate of 2 per square metre, if
Q) A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere of same radius. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy. Also, find the total surface area of the
A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere Read More »