# Category Archives: School Learning

Question 1. Find the principal value of each of the following :   (i) Sin-1(- âˆš3/2) (ii) Sin-1(cos 2Ï€/3) (iii)Sin-1(-âˆš3 – 1/2âˆš2)  (iv) Sin-1(âˆš3 + 1/2âˆš2)  (v) Sin-1(cosâ€¦ Read More
Mean, Median and Mode are measures of the central tendency. These values are used to define the various parameters of the given data set. Measureâ€¦ Read More
Mensuration is the branch of mathematics that talks about the length, volume, and area of different geometrical objects. The shape may be in 2-D orâ€¦ Read More
Question 1. Four-fifth of a number is more than three-fourth of the number by 4. Find the number. Solution: Let us consider the number asâ€¦ Read More
Probability refers to the extent of the occurrence of events. When an event occurs like throwing a ball, picking a card from the deck, etcâ€¦ Read More
Evaluate the determinants from the following Questions. Question 1.  Solution: The determinant of a 2 x 2 matrix  Hence,  Question 2. (i)  Solution:  from trigonometricâ€¦ Read More
Question 1. In quadrilateral ACBD AC = AD and AB bisects âˆ  A (see Fig. 7.16). Show that âˆ† ABC â‰… âˆ† ABD What canâ€¦ Read More
Question 1: How would you rewrite Euclidâ€™s fifth postulate so that it would be easier to understand? Solution: Euclidâ€™s fifth postulate:  Euclid’s fifth postulate saysâ€¦ Read More
Question 1. Check the validity of the following statements: (i) p: 100 is a multiple of 4 and 5. (ii) q: 125 is a multipleâ€¦ Read More
Question 1: Find the volume of a sphere whose radius is (i) 7 cm (ii) 0.63 m    (Assume Ï€ =22/7) Solution: (i) Given: Radiusâ€¦ Read More
Question 1. Find the sum of odd integers from 1 to 2001. Solution: The odd integers forms an A.P. with  Common difference(d)=2  and  first termâ€¦ Read More
Question 1. In given figure, find the values of x and y and then show that AB || CD. Solution: After given names to theâ€¦ Read More
Question 11. If the GP’s 5, 10, 20,…….. and 1280, 640, 320,……..have their nth terms equal, find the value of n. Solution:  For GP 5,â€¦ Read More
Question 1. Show that each one of following progression is a GP. Also, find the common ratio in each case: (i) 4, -2, 1, -1/2,…….â€¦ Read More
Question 11. A field is 150m long and 100m wide. A plot (outside the field) 50m long and 30m wide is dug to a depthâ€¦ Read More