Question

CAN U SOLVE THIS QUESTION ,?​

Answer 1

Step-by-step explanation:

Let the slope of the required line which posses through (0,a) be m.

Thus equation of the line be

y-a=mx

mx-y+a=0 (i)

The perpendicular distance from (2a,2a) to (i) is

+-a=(mxx2a-2a+a)/sqrt(m^2+1)

+-a=(a(2m-1))/sqrt(m^2+1)

+-1=(2m-1)/sqrt(m^2+1)

+-sqrt(m^2+1)=2m-1

Squaring both side ,we will have

m^2+1=4m^2+1-4m

3m^2-4m=0

m(3m-4)=0

m=0 or m=4/3

Thus equation of the lines are

y-a=0 or y-a=(4/3)x

y=a or 3y-3a=4x

y=a or 3y=4x+3a

Equation of line posses through (2a,2a) and perpendicular to y=a

is

0(y-2a)=x-2a

x-2a=0 (i)

y= a (ii)

(i) and (ii) intersect each other at (2a,a).

Thus foot of perpendicular is (2a,a)

Equation of line posses through (2a,2a) and perpendicular to 3y=4x+3a is

y-2a=(-3/4)(x-2a)

4y-8a=-3x+6a

3x+4y=14a (iii)

-4x+3y=3a (iv)

(iii) and (iv) will intersect each other at ((6a)/5,(13a)/5).Thus foot of perpendicular is ((6a)/5,(13a)/5)

Equation of line posses through (2a,a) and ((6a)/5,(13a)/5) is

y-a=((13a)/5-a)/((6a)/5-2a)(x-2a)

y-a=(8a)/(-4a)(x-2a)

y-a=-(2)(x-2a)

y-a=-2x+4a

2x+y=5a

Hence you have required answer.

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Answer 2

Global warming is happening due to the greenhouse effect combined with increased greenhouse gas emissions by human activities.

Explanation:

The greenhouse effect is the process during which radiation from the sun is trapped within the earth's atmosphere, which warms the planet. This effect occurs naturally. Since the industrial revolution, the greenhouse effect has been magnified due to greenhouse gases emitted into the atmosphere by humans.

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