# Category Archives: School Learning

Question 12. Let A = {x, y, z} and B = {a, b}. Find the total number of relations from A into B. Solution: The… Read More
Question 1. Solve each of the following system of equations in R: x + 3 > 0, 2x < 14 Solution: Let the first equation… Read More
Question 1. Compute: (i) 30!/28! (ii) (11! – 10!)/9! (iii) L.C.M. (6!, 7!, 8!) Solution: (i) 30!/28! We know that, n! = n(n-1)! Therefore, 30!… Read More
Question 8. Find the image of the point (1, 3, 4) in the plane 2x – y + z + 3 = 0. Solution: According… Read More
Question 1. The following number of goals were scored by a team in a series of 10 matches: 2, 3, 4, 5, 0, 1, 3,… Read More
Question 1. ABC is a triangle. Locate a point in the interior of ΔABC which is equidistant from all the vertices of ΔABC. Solution: To… Read More
Question 1. Find the image of the point (0, 0, 0) in the plane 3x + 4y – 6z + 1 = 0. Solution:  According… Read More
Question 1. Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection.   Solution: Given: Two… Read More
Question 14. The 4th term of an A.P. is three times the first and the 7th term exceeds twice the third term by 1. Find… Read More
Question 1. Find the vector equation of the following planes in scalar product form  Solution: (i)  Here,  We know that,  represent a plane passing through a… Read More
Question 1: A box contains 10 red marbles, 20 blue marbles, and 30 green marbles. 5 marbles are drawn from the box, what is the… Read More
Question 1. Find: (i) 10th tent of the AP 1, 4, 7, 10…. (ii) 18th term of the AP √2, 3√2, 5√2, ……. (iii) nth… Read More
Question 1. A copper wire, 3 mm in diameter, is wound about a cylinder whose length is 12 cm, and diameter 10 cm, so as… Read More
Question 17. The top of a ladder 6 meters long is resting against a vertical wall on a level pavement, when the ladder begins to… Read More
Question 1. The side of a square sheet is increasing at the rate of 4 cm per minute. At what rate is the area increasing… Read More