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Co-ordinate Geometry (Triangles-Straight lines) Co-ordinate Geometry is also called Analytical Geometry. It is the branch of Geometry in which we use two numbers, called Co-ordinates to indicate the position of a point in a plane. Any point in a plane can be located in position with reference to two mutually perpendicular lines called "Co-ordinate Axes" or simple "axes". The horizontal reference line is called the x-axis, and the vertical reference line is called the y-axis. As Shown in the below figure , XX' is the x-axis and YY' is the y-axis. The point of intersection of these two axes is called origin. Let P be any point in the plane. From P draw PM perpendicular to OX. Then the lengths of OM and MP are called the co-ordinates of P(usually denoted by x and y respectively). The length of OM is called the x co-ordinate or the abcissa and the length PM is called the y co-ordinate or ordinate of P. Hence a point P can be denoted as

Questions and Answers 1.A trader buys two articles at the same price. He sold one article at 20% profit  and sold the other at 10% loss . Find his overall profit/loss percentage a)10% loss         b)10% profit      c)5% loss      d)5% profit. 2.If a book is sold at 20% more than its usual price, an extra profit of Rs.120 would be made on it. find its usual selling price. a)Rs.500        b)Rs.600      c)Rs.750      d)Rs.800 3.The loss made by selling 20 m of a cloth equals the cost price of 5 m of that cloth. Find the loss percentage a)33 1/3%          b)25%       c)20%      d)40%  4.The profit made by selling 30  m of a cloth equals the cost price of 6 m of that cloth. find the profit percentage a)25%          b)20%       c)16 2/3%      d)30% 5.The profit made by selling 25 m of a cloth equals the selling price of 5 m of that cloth. find the profit percentage? a)25%          b)20%       c)16 2/3%      d)30%   6.The loss made by selling 16 m of a cloth equals the se

Cost Price (C.P.) The price at which an article is purchased or manufactured is called its cost price. Selling Price (S.P.) The price at which an article is sold, is called its selling price. Profit If the selling price of an article is greater than its cost price, we say that there is a profit or gain. Profit = Selling Price - Cost Price When S.P.>C.P. Profit = S.P. - C.P. S.P.= C.P.+Profit C.P.=S.P.-Profit Profit % = Profit/C.P. * 100 Profit = Profit % * C.P. When C.P.  and Profit% are given then, S.P. = C.P. * ((100+Profit %)/100) When S.P. and Profit % are given then C.P.= 100* S.P./100+ Profit % Loss If the selling price of an article is less than tits cost price, we say that there is a loss. Loss = Cost Price - Selling Price  When C.P.>S.P. Loss = C.P. - S.P. S.P.= C.P.-Loss C.P.=S.P.+Loss Loss % = Loss/C.P. * 100 Loss = Loss % * C.P. When C.P.  and Loss % are given then, S.P. = C.P. * ((100-Loss %)/100) When S.P. and Loss

Complete the following series 225,224,____,222,221 a)220         b)223         c)219           d)226 Answer: b)      2. 17,19,23,29,31,37,______     a)41               b)43         c)40           d)42    Answer: If you look at the above series they are all prime numbers, next series will be 41        3.225,196,169,____,121,100,81     a)156              b)144         c)136           d)125 Answer: above series can be written as 15^2,14^2,13^2,____,11^2,10^2,9^2. The missing series is 12^2=144.     4.12,14,15,16,18,20     a)22              b)25         c)21           d)23 Answer: consider above series into two alternate parts. Like 12,15,18,____ & 14,16,20. Then the difference of two alternate series as follows: 3,3,3___ & 2,4. Next series after 18 need to be added with 3= 18+3=21.     5.64,125,216,343,__     a)64              b)424         c)317           d)512 Answer: The above series can be written, 4^3,5^3,6^3,7^3, then the next