In a colony there are 25 houses A through Y and are constructed in the following pattern i.e., in the form of a 5x 5 grid. B. H. M R W K S. Y The houses in each row are of different heights among a, b, c, d and e and the houses in each column are of different heights among a, b, c, d and e, are in the decreasing order. From the top of any house, only the houses in that column and in that row are visible. A house is visible from the top of another house, only if it is taller than the other and there is no obstacle (obstacle is a house taller than both the houses) in between them. It is also known that, O Eight houses are visible from the top of the house F. (i) Only 6 and 3 houses are visible from C and N respectively. (iii) No house is visible from V. 21. Which of the following houses is of the height e? (A) W (C) Q (B) Y (D) Cannot be determined 22. What is the height of the house T? (В) Ь (C) d (А) a (D) c 23. How many houses can be seen from house Q? (B) 6 (А) 8 (C) 5 (D) 7 E. AF
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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