While travelling from Alwah to Barogh, one crosses the busy hamlet of Chagotkar. The road
from Alwah to Chagotar, is exactly perpendicular to the road going from Chagotkar to Barogh.
The distance covered by the road between Chagotkar and Barogh is 7 kilometers more that the
distance of the road connecting Alwah and Chagotkar.
Ayushi is an engineer looking after the project of building a direct bypass road that would
connect Alwah and Barogh and has proposed to construct a 17 km direct bypass road between
the two cities.
The equation which represents the above situation algebraically is-
a)
2 + 7 − 120 = 0
b)
2 + 5 − 120 = 0
c) 8
2 + 7 − 120 = 0
d)
2 + 2 − 120 = 0
Guys please give me the correct answer it's urgent and please don't give any irrelevant answer otherwise I will report that one
Answers
Given : The road from Alwah to Chagotar, is exactly perpendicular to the road going from Chagotkar to Barogh.
The distance covered by the road between Chagotkar and Barogh is 7 kilometers more that the distance of the road connecting Alwah and Chagotkar.
Ayushi is an engineer looking after the project of building a direct bypass road that would connect Alwah and Barogh and has proposed to construct a 17 km direct bypass road between the two cities.
To Find :
The equation which represents the above situation algebraically is-
a) x² + 7x − 120 = 0
b) x² + 5x − 120 = 0
c) 8x² + 7x − 120 = 0
d) x² + 2x − 120 = 0
Solution :
Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.
x² + (x + 7)² = 17²
=> x² + x² + 14x + 49 = 289
=> 2x² + 14x - 240 = 0
=> x² + 7x - 120 = 0
x² + 7x − 120 = 0 represents the situation algebraically
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