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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
In which quadrant or on which axis do each of the points (– 2, 4), (3, – 1), (– 1, 0), (1, 2) and (– 3, – 5) lie? Verify your answer by locating them on the Cartesian plane.
Plot the points (x, y) given in the following table on the plane, choosing suitable units of distance on the axes.
| x | -2 | -1 | 0 | 1 | 3 |
| y | 8 | 7 | -1.25 | 3 | -1 |
Plot the following point on the graph paper:
(2, 5)
Plot the following point in the coordinate system and identify the quadrant.
Q(7, −2)
Plot the following points in the coordinate plane and join them. What is your conclusion about the resulting figure?
(0, −4) (0, −2) (0, 4) (0, 5)
If P(−1, 1), Q(3, −4), R(1, −1), S(−2, −3) and T(−4, 4) are plotted on a graph paper, then the points in the fourth quadrant are __________
Plot the following point in a graph sheet.
D(−1, −1)
Find the quadrants without plotting the point on a graph sheet
(−3, −5)
Plot the following points and check whether they are collinear or not:
(1, 1), (2, – 3), (– 1, – 2)
From the figure, answer the following:
Write the points whose abscissa is – 5.
