A garden is in the shape of a rectangle. Gardeners grew sapling of Ashoka trees on the boundary of a garden at a distance of 1 meter from each other. He wants to decorate the garden with rose plants. He choose a triangular region inside the park to grow rose plants.
In the above situation, the gardener took help from the students of class 10th. They made a chart for it which looks like the above figure.
46. If A is taken as origin, what are the coordinates of
triangle PQR ?
(a) PQR (4,6) (3,2) (6,5)
(b) PQR (6,4) (2,3) (5,6)
(c) PQR (5,7) (3,3) (5,5)
(d) PQR (6,6) (2,3) (6,6)
47. If C is taken as origin, what is the co-ordinate of
point P ?
(a) ( − 12, 2) (b) (12, 2)
(c) (6, -4) (d) (, ) ( − 6 ,-4)
48. If B is taken as origin, what are the co-ordinate of P ?
(a) (4, 4) (b) ( ,) − 4 4
(c) (, ) 4 4 − (d) (, ) − − 4 4
49. What is distance between P and Q if origin is taken
A?
(a) √71 (b)√ 17
(c) √65 (d) √50
50. What is distance between P and Q if origin is taken
B ?
(a) √50 (b) √71
(c) √17 (d) √61
Answers
Answer:
at the distance of 1 meter from each other. He want to decorate the garden with rose plants. He choose
triangular region inside the park to grow rose plants. On the above situation, gardener took help from the
students of class 10th. They made a chart for it which looks as the above figure.
(i) If A is taken as origin, What are the coordinates of triangle PQR (1 mark)
Page 2 of 2
(ii) If C is taken as origin, what is the co-ordinate of point P (1 mark)
(iii) If B is taken as origin, what are the co-ordinate of P (1 mark)
(iv) What is distance between P and Q if origin is taken A?
Step-by-step explanation:
Answer:
46) p(4,6)
Q(3,2)
R(6,5)
47) p(-6,-4)
48)p(4,-4)
49) distance of PQ=√(3-4)^2+(2-6)^2
=√(1)^2+(4)^2
=√1+16
=√17