18) Minister of a state went to city Q from city P. There is a route via city R such that PR I RQ. PR = 2x
km and RQ = 2(x + 7) km. He noticed that there is a proposal to construct a 26 km highway which directly
connects the two cities P and Q. Based on the above information, answer the following questions.
2x
R
2(x + 7)
(1) Which concept can be used to get the value of x?
(a) Thales theorem (b) Pythagoras theorem (c) Converse of thales theorem
(d) Converse of Pythagoras theorem
(ii) The value of x is (a) 4
(b) 6 (c) 5 (d) 8
(iii)The value of PR is (a) 10 km (b) 20 km
(c) 15 km
(d) 25 km
(iv)The value of RQ is (a) 12 km (b) 24 km
(c) 16 km
(d) 20 km
(V) How much distance will be saved in reaching city Q after the construction of highway?
(a) 10 km
(b) 9 km
(c) 4 km (d) 8 km
Answers
Answer:
UL
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2. A bus started its journey and reached
different places with a speed of 60 km/hour.
The journey is shown below:
4170 km
B. 3410 km
1290 km
2550 km
F
2160 km
4830 km
E E
D
8140 km
Find the total distance covered by the
bus from A to D.
(ii) Find the total distance covered by the
bus from D to G.
(ii) Find the total distance covered by the
bus, if it starts from A and returns back
to A.
(iv) Can you find the difference of
distances from C to D and D to E?
(7) Find ou
the bus to
Answer:
(i) Which concept can be used to get the value of x?
(a) Thales theorem
(b) Pythagoras theorem
(c) Converse of Thales theorem
(d) Converse of Pythagoras theorem
Answer: (b) Pythagoras theorem
(ii) The value of x is
(a) 4
(b) 6
(c) 5
(d) 8
Answer: (c) 5
(iii) The value of PR is
(a) 10 km
(b) 20 km
(c) 15 km
(d) 25 km
Answer: (a) 10 km
(iv) The value of RQ is
(a) 12 km.
(b) 24 km
(c) 16 km
(d) 20km
Answer: (b) 24 km