Advertisements
Advertisements
Question
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.
Advertisements
Solution
In point P(1, 0), y-coordinate is zero, so it lies on x-axis.
In point Q(4, 0), y-coordinate is zero so it lies on x-axis.
In point S(1, 3), both coordinates are positive, so it lies in I quadrant.
On plotting these points, we get the following graph.
Now, take a point R on the graph such that PQRS is a square.
Then, all sides will be equal i.e., PQ = QR = RS = PS.
So, abscissa of R should be equal to abscissa of Q i.e., 4 and ordinate of R should be equal to ordinate of S i.e., 3.
Hence, the coordinates of R are (4, 3).
APPEARS IN
RELATED QUESTIONS
Plot the following point on the graph paper:
(7, −4)
Write the equation of the line parallel to the Y-axis at a distance of 7 units from it to its left.
Plot the following point in the coordinate system and identify the quadrant.
Q(7, −2)
Plot the following point in the coordinate system and identify the quadrant.
S(3, 5)
Find the quadrants without plotting the point on a graph sheet.
(2, 0)
Plot the following point in a graph sheet.
F(2, 0)
Plot the following point in a graph sheet.
G(7, −4)
Find the quadrants without plotting the point on a graph sheet
(4, −3)
Plot the points (x, y) given by the following table:
| x | 2 | 4 | – 3 | – 2 | 3 | 0 |
| y | 4 | 2 | 0 | 5 | – 3 | 0 |
Which of the following points lie on y-axis?
A(1, 1), B(1, 0), C(0, 1), D(0, 0), E(0, – 1), F(– 1, 0), G(0, 5), H(– 7, 0), I(3, 3).
