# Category Archives: School Learning

Solve the following systems of homogeneous linear equations by matrix method: Question 1.  2x – y + z = 0 3x + 2y – z… Read More
NCERT Theorem 1.5 : Let x be a rational number whose decimal expansion terminates. Then x can be expressed in the form,  where p and q… Read More
Chapter 5 Complex Numbers And Quadratic Equations – Exercise 5.1 | Set 1 For Q.11 to Q.13 find the multiplicative inverse of the given number … Read More
For Q.1 to Q.10 express each complex number in form of a+ib Question 1. (5i) Solution: Let the given number be a, a= (5i)* a= … Read More
Question 11. A joker’s cap is in the form of a right circular cone of base radius 7cm and height 24 cm. Find the area… Read More
Theorem 10.1(NCERT) : The tangent at any point of a circle is perpendicular to the radius through the point of contact. Theorem 10.2 (NCERT) :… Read More
Question 1. A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and… Read More
Question 1. In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to… Read More
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