English

In which quadrant, does the abscissa, and ordinate of a point have the same sign? - Geometry Mathematics 2

Advertisements
Advertisements

Question

In which quadrant, does the abscissa, and ordinate of a point have the same sign?

One Line Answer

Solution

The abscissa and ordinate of a point have the same sign in quadrants I and III.

shaalaa.com
  Is there an error in this question or solution?
2024-2025 (March) Model set 4 by shaalaa.com

RELATED QUESTIONS

Find the ratio in which the line segment joining (-2, -3) and (5, 6) is divided by y-axis. Also, find the coordinates of the point of division in each case.


If the point P (2,2)  is equidistant from the points A ( -2,K ) and B( -2K , -3) , find k. Also, find the length of AP.


If the point ( x,y ) is equidistant form the points ( a+b,b-a ) and (a-b ,a+b ) , prove that bx = ay


Show that the following points are the vertices of a square:

A (6,2), B(2,1), C(1,5) and D(5,6)


Find the area of a quadrilateral ABCD whose vertices area A(3, -1), B(9, -5) C(14, 0) and D(9, 19).


Find the possible pairs of coordinates of the fourth vertex D of the parallelogram, if three of its vertices are A(5, 6), B(1, –2) and C(3, –2).


If (0, −3) and (0, 3) are the two vertices of an equilateral triangle, find the coordinates of its third vertex.    


If the mid-point of the segment joining A (xy + 1) and B (x + 1, y + 2) is C \[\left( \frac{3}{2}, \frac{5}{2} \right)\] , find xy.

 

 
 

If x is a positive integer such that the distance between points P (x, 2) and Q (3, −6) is 10 units, then x =


The distance between the points (a cos θ + b sin θ, 0) and (0, a sin θ − b cos θ) is


If A (5, 3), B (11, −5) and P (12, y) are the vertices of a right triangle right angled at P, then y=


If the area of the triangle formed by the points (x, 2x), (−2, 6)  and (3, 1) is 5 square units , then x =


The length of a line segment joining A (2, −3) and B is 10 units. If the abscissa of B is 10 units, then its ordinates can be


A line intersects the y-axis and x-axis at P and Q , respectively. If (2,-5) is the mid-point of PQ, then the coordinates of P and Q are, respectively

 

The point at which the two coordinate axes meet is called the ______.


The perpendicular distance of the point P(3, 4) from the y-axis is ______.


Find the coordinates of the point which lies on x and y axes both.


A tiling or tessellation of a flat surface is the covering of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. Historically, tessellations were used in ancient Rome and in Islamic art. You may find tessellation patterns on floors, walls, paintings etc. Shown below is a tiled floor in the archaeological Museum of Seville, made using squares, triangles and hexagons.

A craftsman thought of making a floor pattern after being inspired by the above design. To ensure accuracy in his work, he made the pattern on the Cartesian plane. He used regular octagons, squares and triangles for his floor tessellation pattern


Use the above figure to answer the questions that follow:

  1. What is the length of the line segment joining points B and F?
  2. The centre ‘Z’ of the figure will be the point of intersection of the diagonals of quadrilateral WXOP. Then what are the coordinates of Z?
  3. What are the coordinates of the point on y-axis equidistant from A and G?
    OR
    What is the area of Trapezium AFGH?

Co-ordinates of origin are ______.


The distance of the point (3, 5) from x-axis (in units) is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×