# Category Archives: School Learning

Question 1. Add the following algebraic expressions: (i) 3a2b, -4a2b, 9a2b Solution: 3a2b, -4a2b, 9a2bNow we have add the given expression= 3a2b + (-4a2b) +… Read More
Question 1. Given a parallelogram ABCD. Complete each statement along with the definition or property used. (i) AD = ……  (ii) ∠DCB = …… (iii)… Read More
Chapter 4 Cubes and Cube Roots – Exercise 4.1 | Set 1 Question 12. By which smallest number must the following numbers be divided so that… Read More
Question 1. Find the cubes of the following numbers: (i) 7 (ii) 12 (iii) 16 (iv) 21 (v) 40 (vi) 55 (vii) 100 (viii) 302… Read More
Question 1. Find the equation of the circle with: (i) Centre (-2, 3) and radius 4. (ii) Centre (a, b) and radius √(a2+b2). (iii) Centre… Read More
Question 1.In fig. 10.36, A, B, and C are three points on a circle with Centre O such that ∠BOC=30° and ∠AOB=60°. If D is… Read More
Question 1. Find the equation of a line making an angle of 150 degrees with the x-axis and cutting off an intercept 2 from y-axis.… Read More
Question 1:  Solution: Given:   Consider, From equation (1) and (2) it can be seen that, A skew-symmetric matrix is a square matrix whose transpose… Read More
Question 1. If 1/a, 1/b, 1/c are in A.P. Prove that: (i) (b+c)/a, (c+a)/b, (a+b)/c are in A.P. (ii) a(b+c), b(a+c), c(a+b) are in A.P.… Read More
Question 1. If the line segment joining the points P(x1,y1) and Q(x2,y2) subtends an angle ∅ at the origin O, prove that OP.OQ cos∅ =… Read More
Question 17. A cylindrical jar of radius 6 cm contains oil. Iron spheres each of radius 1.5 cm are immersed in the oil. How many… Read More
Question 1. Find the volume of a sphere whose radius is : (i) 2 cm (ii) 3.5 cm (iii) 10.5 cm. Solution:  As we know… Read More
Question 1. Show that the following numbers are irrational. (i) 1/√2 Solution: Let assume that 1/√2 is a rational number Let us assume 1/√2 = r… Read More
Chapter 16 Understanding Shapes Quadrilaterals – Exercise 16.1 | Set 1 Question 13. In Figure, find the measure of ∠MPN. Solution: As we know that… Read More
Question 1. Define the following terms: (i) Quadrilateral (ii) Convex Quadrilateral Solution: (i) Quadrilateral: Let’s A, B, C and D are four points in a… Read More