Question

The Sun rises two hours earlier in Arunachal Pradesh as compared to Gujarat in the west but the watches show the same time. How does this happen?
Please help guys....​

Answer 1

Answer❣

Given

We have given two points M( -5,-2) and N( 3,2)

To find

we have to find the point on x - axis which is equidistant from the points M and N

Solution,

since ,we don't know the points let us assume the point on x axis be ( x,0)

Note : On x-axis the y will be zero and on Y-axis x will be zero.

let x be 'a'

so , our new point be P (a,0)

According to the questio:

If the point P is equidistant from M and N

then their distance between the points PM and PN must be equal.

Now, by using distance formula we will find distance between the two points.

Distance Between P and M

Distance formula

D=√(x₂- x₁)²+(y₂- y₁)²

M( -5,-2) and P(a,0)

x₁= -5 ;x₂ = a ; y₁= -2 & y₂ = 0

PM= √ (a+5)²+(0+2)²

identity :(a+b)²= a²+b²+2ab

PM= √ a²+5²+2(a)(5)+2²

PM= √a²+25+10a+4=√ a²+10a+29

Distance between P and N

P(a,0) N ( 3,2)

PN=√ (3-a)²+(2-0)²

PN= √ 9+a²-6a+4= √ a²-6a+13

Now , comparing both PM and PN

√ a²+10a+29=√a²-6a+13

Squaring both sides

PM²= PN²

(√a²+10a+29)²= (√a²-6a+13)²

a²+10a+29=a²-6a+13

a² gets cancelled as base same

=> 10a +29= -6a+13

=> 10a+6a=13-29

=> 16a = -16

=>a = -1

Thus,the point is (a,0) = (-1,0)

Therefore, (-1,0) is the point on the x-axis which is equidistant from the points M

hope that ur helpfull

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Answer 2

The sun rises two hours earlier in Arunachal Pradesh as compared to Gujarat in the west. But the clocks show the same time this happens because:

i) The longitudinal gap between Arunachal Pradesh and Gujarat is about 30.

ii) Due to this, there is time lag of about two hours between these states.

iii) Since Arunachal Pradesh is in the east, the sun rises earlier here compared to Gujarat.

iv) The Indian Standard Time is taken from the time of Standard Meridian of India and hence, the watches show the same time in both the states.

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