# Category Archives: School Learning

Question 1. Solve each of the following system of homogeneous linear equations: x + y – 2z = 0 2x + y – 3z =0… Read More
Question 1. Find the area of the triangle whose vertices are: (i) (2, 3), (-1, 0), (2, -4) Solution: Area = 1/2 [x1(y2 – y3)… Read More
Question 1. A coin is tossed 1000 times with the following sequence:  Head: 455, Tail: 545 Compute the probability of each event. Solution: According to… Read More
Question 11. Given below is the frequency distribution table regarding the concentration of sulphur dioxide in the air in parts per million of a certain… Read More
Question 1. Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°. Solution: Given: r=66cm… Read More
Chapter 12 Areas Related to Circles – Exercise 12.2 | Set 1  Question 8. A horse is tied to a peg at one corner of… Read More
The method of finding the derivative of a function by first taking the logarithm and then differentiating is called logarithmic differentiation. This method is specially… Read More
The knowledge of matrices is necessary for various branches of mathematics. Matrices are one of the most powerful tools in mathematics. In linear algebra, matrix… Read More
Question 1. A park, in the shape of a quadrilateral ABCD, has ∠ C = 90º, AB = 9 m, BC = 12 m, CD… Read More
Chapter 17 Understanding Shapes Special Types Of Quadrilaterals – Exercise 17.1 | Set 1 Question 16. The perimeter of a parallelogram is 150 cm. One… Read More
Question 1. Find area of the triangle with vertices at the point given in each of the following :  (i) (1, 0), (6, 0), (4,… Read More
Question 1. Given below is a parallelogram ABCD. Complete each statement along with the definition or property used. (i) AD = (ii) ∠DCB = (iii)… Read More
Question 1. A die is rolled. Let E be the event “die shows 4” and F be the event “die shows even number”. Are E… Read More
Question 11. In the figure, PQ is tangent at a point R of the circle with centre O. If ∠TRQ = 30°, find m ∠PRS… Read More
Question 1(a). If A and B are mutually exclusive events associated with a random experiment such that P(A) = 0.4 and P(B) = 0.5, then… Read More