मराठी

Find the coordinates of the point whose abscissa is 5 and which lies on x-axis.

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प्रश्न

Find the coordinates of the point whose abscissa is 5 and which lies on x-axis.

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उत्तर

The point whose abscissa is 5 and which lies on x-axis, i.e., whose y-coordinate is zero, is (5, 0).

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पाठ 3: Coordinate Geometry - Exercise 3.3 [पृष्ठ ३१]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 9
पाठ 3 Coordinate Geometry
Exercise 3.3 | Q 11. (iii) | पृष्ठ ३१

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Find the coordinates of the point which divides the line segment joining (−1,3) and (4, −7) internally in the ratio 3 : 4


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Show that the points (−4, −1), (−2, −4) (4, 0) and (2, 3) are the vertices points of a rectangle.


Find the ratio in which the line segment joining the points A(3, −3) and B(−2, 7) is divided by the x-axis. Also, find the coordinates of the point of division.   


Find the centroid of the triangle whose vertices  is (−2, 3) (2, −1) (4, 0) .


Write the perimeter of the triangle formed  by the points O (0, 0), A (a, 0) and B (0, b).

 

Write the ratio in which the line segment doining the points A (3, −6), and B (5, 3) is divided by X-axis.


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?

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