# Category Archives: School Learning

Question 1. Find the principal value of each of the following :   (i) Sin-1(- √3/2) (ii) Sin-1(cos 2π/3) (iii)Sin-1(-√3 – 1/2√2)  (iv) Sin-1(√3 + 1/2√2)  (v) Sin-1(cos… 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. Measure… 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 or… 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 as… 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, etc… 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 trigonometric… Read More
Question 1. In quadrilateral ACBD AC = AD and AB bisects ∠ A (see Fig. 7.16). Show that ∆ ABC ≅ ∆ ABD What can… Read More
Question 1: How would you rewrite Euclid’s fifth postulate so that it would be easier to understand? Solution: Euclid’s fifth postulate:  Euclid’s fifth postulate says… 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 multiple… Read More
Question 1: Find the volume of a sphere whose radius is (i) 7 cm (ii) 0.63 m    (Assume π =22/7) Solution: (i) Given: Radius… 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 term… 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 the… 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,… 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,…….… 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 depth… Read More