A coordinate system is also known as coordinate geometry; it is used to determine the position of several points or other geometric elements on a given space using a set of numbers.
A set of numbers is used to identify the location of a point on a given plane or dimension. These numbers are also referred to as coordinates.
The intersection of its axes determines the cartesian coordinate system. A 2D plane has the coordinates (0,0) for the origin.
Write the x-coordinate first, followed by the y-coordinate. So, for example, the x coordinate always comes first, followed by the y coordinate.
Coordinate Geometry Sample Questions for Class 11
Question 1
Using in formation from previous questions, the value of ang 2 can also be determined, as given below.ang 2 = tan^{-1} ((||vec{FB}|| sin theta) / (||vec{FE}|| + ||vec{FB}|| cos theta)) Why is the direction given in terms of the angle between vec{FC} and vec{FE} and not between vec{FC} and vec{FB}?
A. It has to be given relative to the horizontal vector.
B. It has to be given in relation to a vector that is parallel to one of the axis.
C. It doesn't matter, since the diagonals of a parallelogram bisect their respective angles.
D. It doesn't matter, but it is simpler to derive the equation this way given the work already done with finding the magnitude of the vector.
Question 2
In the first question, the stipulation on the point (x,y) was made that the x-coordinate could not be 3, and the y-coordinate could not be 4. Why was this?
A. These points do not actually occur on the circle, and so would have caused an error in the derivation.
B. If a point met either of these criteria, it would be either directly above, below, to the right of, or to the left of the center of the circle. This would have made creating a right triangle with legs that have slope of 0 and undefined impossible.
C. These points would have resulted in complex values (calculations involving imaginary numbers), and led to serious complications in the derivation process.
D. The points that meet these criteria result in triangles which are not right triangles.
Question 3
Standard deviation is best described as
A. the difference between the number and the mean.
B. the sum of the differences between the numbers and the mean.
C. the square root of the sum of the differences between the numbers and the mean squared and divided by the number of terms.
D. the square root of the mean divided by the Z-Score times the sum of the numbers.
Question 4
4x^2+4y^2-8x+12y-32=7 is what type of conic?
A. Parabola
B. Ellipse
C. Circle
D. Hyperbola
Question 5
The following equation represents which type of conic section? (x-5)^2/6 - (y-2)^2/4 = 1
A. Circle
B. Hyperbola
C. Parabola
D. Ellipse