1063rd answer is area is 1
If P (x) is a polynomial of least degree that has a maximum equal to 6 at x = 1 , and a minimum equal to 2 at
x = 3 , then01∫ P(x) dx equals
1. 17/4
2. 13/4
3. 19/4
4. 5/4
A point 'P' moves in xy plane in such a way that [| x | + | y |] = 1, where [.] denotes the greatest integer function. Area of the region representing all possible positions of the point 'P' is equal to
1. 4 sq units
2. 16 sq units
3. 2 2 sq units
4. 8 sq units
The area enclosed between the curve y = log e (x + e) and the coordinate axes is
1.] 2
2.] 1
3.] 4
4.] 3
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42 Answers
62y = ln(x + e)
where ln stands for base e
so now x=-e we have y going to - infinity
also at x=0,
so the integral will be from -e to 0 of
ln(x+e) which is same as integral from 0 to e of ln(x)
= x ln(x/e) | limti from 0 to e
you have to take the RHL when x approaches zero!!!
is this hint sufficient?
11what about 1st sabse mast hai na!!!!!!
nishant sir
jo aapne bataya uss mein koi prob nahin hai but pls tell me what is the area bounded by the ex from -∞ to ∞
62logic of 2nd question..
it is symmetric in the 4 quadrants
we take the 1st quadrant
there the graph becomes
[x+y]=1
this is same as
1<=x+y<2
now plot this and find the area.. multiply this by 4
