Category Archives: School Learning

Question 1: What is the least number of planes that can enclose a solid? What is the name of the solid? Solution: The least number… Read More
Question 1(i). Find g o f and f o g when f: R -> R and g: R -> R is defined by f(x) =… Read More
Find the principal and general solutions of the following equations: Question 1. tan x = √3 Solution: Given: tan x = √3 Here, x lies… Read More
Question 1. Evaluate  Solution:  = 2(-5) – 1 = -10  – 1  = -11 Question 2. Evaluate  Solution: Question 3. Evaluate  Solution: = (3)2 +… Read More
Question 1. 2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid. Solution:  Volume of… Read More
Question 1: Write minors and co-factors of each element of first column of the following matrices and hence evaluate determinant. Solution: i) Let Mij and… Read More
Question 1. Parallelogram ABCD and rectangle ABEF are on the same base AB and have equal areas. Show that the perimeter of the parallelogram is… Read More
Question 12: Show that the exponential function f: R → R, given by f(x) = ex is one one but not onto. What happens if… Read More
Question 8. If x2 +1/x2 = 79, find the value of x +1/x Solution: Given, x2 +1/x2 = 79 Let us take the square of x… Read More
Question 1. Evaluate each of the following using identities: (i) (2x – 1/x)2(ii) (2x + y) (2x – y)(iii) (a2b – b2a)2(iv) (a – 0.1)… Read More
Evaluate each of the following integrals (1-16): Question 1.  Solution: We know that  so, we know,  if  I =  then  I = 2I =  l=π … Read More
Question 1: Ten cards numbered 1 through 10 are placed in a box, mixed up thoroughly and then one card is drawn randomly. If it… Read More
Question 1. Find the area of the shaded region in Fig., if PQ = 24 cm, PR = 7 cm and O is the center… Read More
Chapter 2 Inverse Trigonometric Functions – Exercise 2.2 |  Set 1 Find the values of each of the following:  Question 11. tan−1[2cos(2sin−11/2​)] Solution: Let us assume… Read More
Question 1. Integrate the following integrals with respect to x: (i) ∫ x4 dx Solution:   ∫ x4 dx = x4+1/(4+1) + Constant = x5/5… Read More