# Category Archives: School Learning

Question 1. ΔABC and ΔDBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of… Read More
Question 1. Give the geometric representations of y = 3 as an equation (i) in one variable (ii) in two variables Solution: (i) If y… Read More
Question 1: Find the equation of a line for which (i) p = 5, α = 60° (ii) p = 4, α = 150° (iii)… Read More
Question 11: Find x, y and z so that A = B, where A= . Solution: As it is given that the matrices are equal, every… Read More
Question 1. The angles of quadrilateral are in the ratio 3:5:9:13. Find all the angles of the quadrilateral. Solution: As we know that, the sum… Read More
Question 1: If a matrix has 8 elements, what are the possible orders it can have? What if it has 5 elements? Solution:  Part 1:… Read More
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