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Let ABC be a triangle with vertices `A -=(6,,2sqrt3+1))),B-=(4,2)and C-=(8,2)`. Let R be the region consisting of all those points P inside `DeltaABC` which satisfyd`(P, BC) >= max{d(P,AB);d(P,AC)}`, where d(P, L) denotes the distance of the point from the line L, then

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`(4sqrt(3))/3 sq units
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Let ABC be a triangle with vertices A-=(6,2sqrt(3)+1)) ) B-=(4,2) and C-=(8,2). Let R be the region consisting of all those points P inside Delta ABC which satisfyd (P,BC)>=max{d(P,AB);d(P,AC)}, where d(P,L) denotes the distance of the point from the line L,then

Let O(0, 0), A(2,0) and B(1,(1)/(sqrt(3))) be the vertices of a triangle. Let R be the region consisting of all those points P inside Delta OAB satisfying. d(P,OA) lr min {d(P,OB), d(P,AB)} , where d denotes the distance from the point P to the corresponding line. Let M be peak of region R. The perimeter of region R is equal to

Let O(0,0),A(2,0),a n dB(1 1/(sqrt(3))) be the vertices of a triangle. Let R be the region consisting of all those points P inside O A B which satisfy d(P , O A)lt=min[d(p ,O B),d(P ,A B)] , where d denotes the distance from the point to the corresponding line. Sketch the region R and find its area.

Let O(0.0),A(6,0) and B(3,sqrt3) be the vertices of triangle OAB. Let R those points P inside triangle OAB which satisfy d(P, OA) minimum (d(P,OB),d(P,AB) where d(P, OA), d(P, OB) and d(P, AB) represent the distance of P from the sides OA, OB and AFB respectively. If the area of region R is 9 (a -sqrtb) where a and b are coprime, then find the value of (a+ b)

A(3, 4),B(0,0) and c(3,0) are vertices of DeltaABC. If 'P' is the point inside the DeltaABC, such that d(P, BC)le min. {d(P, AB), d (P, AC)}. Then the maximum of d (P, BC) is.(where d(P, BC) represent distance between P and BC).

Let d(P, OA) le min {d (P, AB), d(P, BC), d (P, OC)} where d denotes the distance from the point to the corresponding line and S be the region consisting of all those points P inside the rectangle OABC such that O = (0, 0), A = (3, 0), B = (3, 2) and C = (0, 2), which satisfy the above relation, then area of the region S is

Find the distance of the point P from the line l in that : l: x/a - y/b = 1 and P-= (b, a)

ARIHANT MATHS-AREA OF BOUNDED REGIONS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let ABC be a triangle with vertices A -=(6,,2sqrt3+1))),B-=(4,2)and C-...

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  2. Area of region {(x,y) in R^(2): y ge sqrt(|x+3|,)5y le x + 9 le 15}

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  3. Let F(x)=intx^[x^2+pi/6][2cos^2t.dt] for all x in R and f:[0,1/2] -> [...

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  4. The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = ...

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  5. The area enclosed by the curvesy= sinx+cosx and y = | cosx-sin x | ove...

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  6. Let S be the area of the region enclosed by y=e^-x^2,y=0,x=0,a n dx=1....

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  7. Let f:[-1,2]vec[0,oo) be a continuous function such that f(x)=f(1-x)fo...

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  8. Let the straight line x= b divide the area enclosed by y=(1-x)^(2),y=0...

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  9. Area of the region bounded by the curve y=e^(x) and linesx=0 and y=e i...

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  10. The area of the region bounded by the curves y=sqrt[[1+sinx]/cosx] and...

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  11. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

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  12. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

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  13. Consider the function defined implicitly by the equation y^3-3y+x=0 on...

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  14. The area (in sqaure units) of the region {(x,y):x ge 0, x + y le 3, x^...

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  15. The area (in sq units) of the region {(x, y) : y^2 gt= 2x and x^2 + y^...

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  16. The area (in sq units) of the region described by {(x,y):y^(2)le2x and...

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  17. The area (in sq. units) of the quadrilateral formed by the tangents...

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  18. The area of the region described by A = {(x,y) : x^2 + y^2 lt= 1and y^...

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  19. The area (in square units) bounded by the curves y=sqrt(x),2y-x+3=0, x...

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  20. The area bounded between the parabola x^(2)=y/4 and x^(2)=9y and the s...

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  21. The area of the region enclosed by the curves y=x, x=e,y=(1)/(x) and t...

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