The graph of y^2+2x y+40|x|=400 divides...

The graph of `y^2+2x y+40|x|=400` divides the plane into regions. Then the area of the bounded region is (a)`200s qdotu n i t s` (b) `400s qdotu n i t s` (c)`800s qdotu n i t s` (d) `500s qdotu n i t s`

Text Solution

AI Generated Solution

Topper's Solved these Questions

SEQUENCES AND SERIES
CENGAGE ENGLISH|Exercise All Questions|508 Videos
TRIGONOMETRIC FUNCTIONS
CENGAGE ENGLISH|Exercise All Questions|983 Videos

Similar Questions

Explore conceptually related problems

The area bounded by the curve y^2=8x\ a n d\ x^2=8y is (16)/3s qdotu n i t s b. 3/(16)s qdotu n i t s c. (14)/3s qdotu n i t s d. 3/(14)s qdotu n i t s

The area bounded by the curve a^2y=x^2(x+a) and the x-axis is (a^2)/3s qdotu n i t s (b) (a^2)/4s qdotu n i t s (3a^2)/4s qdotu n i t s (d) (a^2)/(12)s qdotu n i t s

The area bounded by the y=2-x^2a n d\ x+y=0 is (a) 7/2s qdotu n i t s b. 9/2\ s qdotu n i t s c. 9\ s qdotu n i t s d. none of these

The area of the region bounded by x=0,y=0,x=2,y=2,ylt=e^x and ygeq1nx is (a) 6-41n2s qdotu n i t s (b) 41n2-2s qdotu n i t s 21n2-4s qdotu n i t s (d) 6-21n2s qdotu n i t s

The area of the smaller region bounded by circle x^2+y^2=1 and |y|=x+1 (a) pi/2-1/2s qdotu n i t s (b) pi/2-1s qdotu n i t s (c) pi/2s qdotu n i t s (d) pi/2 +1s qdotu n i t s

The area of the loop of the curve a y^2=x^2(a-x) is 4a^2s qdotu n i t s (b) (8a^2)/(15)s qdotu n i t s (16 a^2)/9s qdotu n i t s (d) None of these

The area bounded by the curves y=x e^x ,y=x e^(-x) and the line x=1 is 2/e s qdotu n i t s (b) 1-2/e s qdotu n i t s 1/e s qdotu n i t s (d) 1-1/e s qdotu n i t s

Let f(x)=x^3+3x+2a n dg(x) be the inverse of it. Then the area bounded by g(x) , the x-axis, and the ordinate at x=-2a n dx=6 is (a) 9/4s qdotu n i t s (b) 4/3s qdotu n i t s (c) 5/4s qdotu n i t s (d) 7/3s qdotu n i t s

The area bounded by the two branches of curve (y-x)^2=x^3 and the straight line x=1 is (a) 1/5s qdotu n i t s (b) 3/5s qdotu n i t s 4/5s qdotu n i t s (d) 8/4s qdotu n i t s

The area bounded by the two branches of curve (y-x)^2=x^3 and the straight line x=1 is 1/5s qdotu n i t s (b) 3/5s qdotu n i t s 4/5s qdotu n i t s (d) 8/4s qdotu n i t s

CENGAGE ENGLISH-STRAIGHT LINES-All Questions

One of the diagonals of a square is the portion of the line x/2+y/3=2 ...
Text Solution
|
Two sides of a triangle are along the coordinate axes and the medians ...
Text Solution
|
The graph of y^2+2x y+40|x|=400 divides the plane into regions. Then ...
Text Solution
|
In a triangle A B C ,A=(alpha,beta)B=(2,3),a n dC=(1,3)dot Point A l...
Text Solution
|
If the straight lines 2x+3y-1=0,x+2y-1=0,and a x+b y-1=0 form a trian...
Text Solution
|
Let O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points such...
Text Solution
|
If the area of the rhombus enclosed by the lines l x+-m y+-n=0 is 2 s...
Text Solution
|
In a triangle A B C , the bisectors of angles Ba n dC lies along the...
Text Solution
|
If a/(b c)-2=sqrt(b/c)+sqrt(c/b), where a , b , c >0, then the family ...
Text Solution
|
P(m , n) (where m , n are natural numbers) is any point in the interio...
Text Solution
|
A diagonal of rhombus A B C D is member of both the families of lines ...
Text Solution
|
A regular polygon has two of its consecutive diagonals as lines sqrt(3...
Text Solution
|
Find the locus of the circumcenter of a triangle whose two sides are ...
Text Solution
|
A line L1-=3y-2x-6=0 is rotated about its point of intersection with t...
Text Solution
|
Straight lines y=m x+c1 and y=m x+c2 where m in R^+, meet the x-axis ...
Text Solution
|
Show that the reflection of the line a x+b y+c=0 on the line x+y+1=0 i...
Text Solution
|
Two equal sides of an isosceles triangle are 7x-y+3=0 and x+y-3=0. Its...
Text Solution
|
The number of possible straight lines passing through point(2,3) and f...
Text Solution
|
In a triangle A B C , if A is (2,-1),a n d7x-10 y+1=0 and 3x-2y+5=0...
Text Solution
|
The sides of a triangle are the straight line x+y=1, 7y=x, and sqrt(3)...
Text Solution
|