In the given figure, PQRS is a rhombus whose diagonal PR and QS are along coordinate axis and PR = 12 units and QS = 6 units. Now, if T is a point which is 5 spaces right and 2 spaces above S. Find :
(i) sum of abscissae of P and T.
(ii) sum of ordinates of Q, R and T.
| (i) | (ii) | |
| A | –1 | 2 |
| B. | 1 | –2 |
| C. | 1 | 2 |
| D. | –1 | –2 |
explain pls
Ans 1:
Class : Class 9
Coordinates of the points-
P(-6, 0)
Q(0, -3)
R(6, 0)
S(0 ,3)
Now, T is 5 units to the right and 2 units above S, so its coordinates are T(0+5, 3+2)= T(5, 5)
i) Sum of abscissae (x-axis coordinate) of P and T = -6+5= -1
ii) Sum of the ordinates (y-axis coordinate) of Q, R and T= -3+0+5= 2
Hence, the correct answer is option A) (i) -> -1, (ii) -> 2