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Answers:-
1)
The number of flowers as many as the trees in a garden the total flowers are 400 then find the number of trees in the garden?
solution:-
Let the number of flowers be X
Number of trees = Number of flowers = X
Total flowers in the garden = X×X = X^2
Total number of flowers = 400
=>X^2 = 400
=>X^2-400 = 0 it is a quadratic equation
=>X^2-20^2 = 0
=>(X+20)(X-20) = 0
=>X+20= 0 or X-20 = 0
=>X = -20 or 20
But X cannot be negative
X= 20
Number of trees = 20
2)Given lines are ax+by = 9---(1)
and. bx+ay = 5-----(2)
Given Intersecting point is (3,-1)
If it is the Intersecting point of both lines then it is a solution of these lines and then it satisfies the given lines
Putting x = 3 and y = -1
equation (1) becomes
=>a(3)+b(-1)=9
=>3a-b = 9------(3)
=>b = 3a-9 -----(4)
equation (2) becomes
=>b(3)+a(-1) = 5
=>3b-a = 5------(5)
from (4) then
=>3(3a-9)-a = 5
=>9a-27-a = 5
=>8a-27 = 5
=>8a = 5+27
=>8a = 32
= >a=32/8
=>a=4
On Substituting the value of a in (4) then
b= 3(4)-9
=>b = 12-9
=>b = 3
a=4
b=3
The values of a and b are 4 and 3 respectively.
On the night of December 2, 1984, chemical, methyl isocyanate (MIC) spilt out from Union Carbide India Ltd's (UCIL's) pesticide factory turned the city of Bhopal into a colossal gas chamber. It was India's first major industrial disaster. ... Bhopal gas tragedy is known as world's worst industrial disaster.
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