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Q) Prove that the lengths of tangents drawn from an external point to a circle are equal. Using above result, find the length BC of Δ ABC. Given that, a circle is inscribed in Δ ABC touching the sides AB, BC and CA at R, P and Q respectively and AB= 10 cm, AQ= 7cm […]
Prove that the lengths of tangents drawn from an external point to a circle are equal. Read More »
Q) Places A and B are 180 km apart on a highway. One car starts from A and another from B at the same time. If the car travels in the same direction at different speeds, they meet in 9 hours. If they travel towards each other with the same speeds as before, they meet
Places A and B are 180 km apart on a highway. One car starts from A and another Read More »
Q) Solve the following system of linear equations graphically: x + 2 y = 3, 2 x – 3 y + 8 = 0 Ans: Step 1: To plot the equations, let’s first find out the coordinates of points lying on these lines: For line: x + 2 y = 3,, we calculate coordinates of
Solve the following system of linear equations graphically: x+2y = 3, 2x-3y+8 = 0 Read More »
Q) A boy whose eye level is 1.35 m from the ground, spots a balloon moving with the wind in a horizontal line at some height from the ground. The angle of elevation of the balloon from the eyes of the boy at an instant is 60. After 12 seconds, the angle of elevation reduces
A boy whose eye level is 1.35 m from the ground, spots a balloon moving with the wind Read More »
Q) The monthly expenditure on milk in 200 families of a Housing Society is given below: Find the value of x and also find the mean expenditure Ans: (i) Value of X: To calculate the value of X, we first sum up all the frequencies: Here, from 2nd column, we get total number of families
The monthly expenditure on milk in 200 families of a Housing Society is Read More »
Q) Find the mean and median of the following data: Ans: (i) Mean Value of data: To calculate the mean value, let’s re-organize the data: To arrange the above, we take following steps: We calculate midpoint ‘x’of each class by Then we calculate ‘fx’ by multiplying midpoint of each class with frequency of that class
Find the mean and median of the following data: Read More »
Q) Ms. Sheela visited a store near her house and found that the glass jars are arranged one above the other in a specific pattern. On the top layer there are 3 jars. In the next layer there are 6 jars. In the 3rd layer from the top there are 9 jars and so on till
Ms. Sheela visited a store near her house and found that the glass jars are arranged Read More »
Q) Triangle is a very popular shape used in interior designing. The picture given above shows a cabinet designed by a famous interior designer. Here the largest triangle is represented by △ ABC and smallest one with shelf is represented by △ DEF. PQ is parallel to EF. (i) Show that △ DPQ ∼ △ DEF.
Q) Metallic silos are used by farmers for storing grains. Farmer Girdhar has decided to build a new metallic silo to store his harvested grains. It is in the shape of a cylinder mounted by a cone. Dimensions of the conical part of a silo is as follows:  Radius of base = 1.5 m, Height = 2
Metallic silos are used by farmers for storing grains. Farmer Girdhar has decided Read More »
Q) One card is drawn at random from a well shuffled deck of 52 cards. Find the probability that the card drawn (i) is queen of hearts (ii) is not a jack. Ans: (i) probability to get queen of hearts Since there is only one Queen of hearts in a deck of 52 cards ∴