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प्रश्न
Points A(5, 3), B(– 2, 3) and D(5, – 4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.
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उत्तर
The graph obtained by plotting the points A, B and C and D is given below.
Take a point C on the graph such that ABCD is a square i.e., all sides AB, BC, CD and AD are equal.
So, abscissa of C should be equal to abscissa of B i.e., – 2 and ordinate of C should be equal to ordinate of D i.e., – 4.
Hence, the coordinates of C are (– 2, – 4).
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संबंधित प्रश्न
Write down the abscissa and ordinate of the following.
P
Plot the following points in the coordinate plane and join them. What is your conclusion about the resulting figure?
(−5, 3) (−1, 3) (0, 3) (5, 3)
On plotting the points O(0, 0), A(3, 0), B(3, 4), C(0, 4) and joining OA, AB, BC and CO which of the following figure is obtained?
Find the quadrants without plotting the point on a graph sheet
(−3, −5)
Find the quadrants without plotting the point on a graph sheet.
(−8, 0)
If P(5, 1), Q(8, 0), R(0, 4), S(0, 5) and O(0, 0) are plotted on the graph paper, then the point(s) on the x-axis are ______.
Plot the following points and check whether they are collinear or not:
(1, 1), (2, – 3), (– 1, – 2)
Plot the following points and check whether they are collinear or not:
(0, 0), (2, 2), (5, 5)
Plot the points (x, y) given by the following table. Use scale 1 cm = 0.25 units
| x | 1.25 | 0.25 | 1.5 | – 1.75 |
| y | – 0.5 | 1 | 1.5 | – 0.25 |
Plot the points P(1, 0), Q(4, 0) and S(1, 3). Find the coordinates of the point R such that PQRS is a square.
