What distances from the two gates should the pole, Mathematics

A pole has to be erected at a point on the boundary of a circular park of diameter 13m in such a way that the differences of its distances from two diametrically opposite fixed gates A & B on the boundary in 7m.  Is it possible to do so?  If answer is yes at what distances from the two gates should the pole be erected.

Ans:    AB = 13 m                                                                        P BP = x

⇒ AP - BP = 7

⇒  AP = x + 7

APQ

⇒ (13)2 = (x + 7)2 + x2

x2 +7x - 60 = 0

(x + 12) (x - 5) = 0

x = - 12 N.P

x = 5

∴Pole has to be erected at a distance of 5m from gate B & 12m from gate A.

Posted Date: 4/8/2013 5:02:07 AM | Location : United States







Related Discussions:- What distances from the two gates should the pole, Assignment Help, Ask Question on What distances from the two gates should the pole, Get Answer, Expert's Help, What distances from the two gates should the pole Discussions

Write discussion on What distances from the two gates should the pole
Your posts are moderated
Related Questions
Build a Fine Automaton which accept all words which have different first and last letters (that is if the word starts with an "a" to be accepted it should end with "b" and vice ver

In the figure, ABCD is a square inside a circle with centre O. The Centre of the square coincides with O & the diagonal AC is horizontal of AP, DQ are vertical & AP = 45 cm, DQ = 2

#in a picnic the ratio of boys to girls is 3:4. when 6 boys joined the group the ratio became even. how many boys were there before? how many children were there before? how many b

Consider the subsequent IVP. y' = f(t,y) ,        y(t 0 ) = y 0 If f(t,y) and ∂f/∂y are continuous functions in several rectangle a o - h o + h which is included in a

Simplify the logical expression X‾ Y‾ + X‾ Z + Y Z +Y‾ Z W‾  Ans: The K-Map for the following Boolean expression is described by the following diagram. The optimized expression

A survey of 400 of recently qualified chartered Accountant revealed that 112 joined industry, 120 stated practice & 160 joined the firms of practicing chartered accountants as paid

1. How many closed necklaces of length 7 can be made with 3 colors? (notice that 7 is a prime) 2. How many closed necklaces of length 10 can be made with 3 colors (this is di erent

Julia must do a 70:30 split of all of her profits with the Department of Athletics. Julia also has the ability to sell soft drinks. If she decide to sell soft drinks, she must agre

Q4. Assume that the distance that a car runs on one liter of petrol varies inversely as the square of the speed at which it is driven. It gives a run of 25km per liter at a speed o

A digital filter has zero at z=a and poles at z=b andz=c, where a, b, c are the real constants. Determine the transfer function and the frequency response function of the filter an