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Area Under Curves

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  1. 151.The area bounded by the curve y=(x) and the lines y=0, y=(c), x=0 is equal to:
  2. 152.The area between the parabolas x^2=y4 and x^2=9y, and the straight line y=2, is:
  3. 153.The area bounded by the parabola y^2=4x and the line 2x-3y+4=0, in square units, is:
  4. 154.The area of the region bounded by the curve y=x^3 and the lines y=8, x=0, is:
  5. 155.If a straight line y-x=2 divides the region x^2+y^24 into two parts, then the ratio of the…
  6. 156.The area enclosed by the curves y=x^2, y=x^3, x=0 and x=p, where p>1, is 16.
  7. 157.The parabola y^2=x divides the circle x^2+y^2=2 into two parts whose areas are in the rati…
  8. 158.The area bounded by the curves y^2=4x and x^2=4y is:
  9. 159.The area of the region enclosed by the curves y=x, x=e, y=1x, and the positive x-axis is:
  10. 160.The area bounded by the curves y= x and y= x between the ordinates x=0 and x=32 is:
  11. 161.The area of the region bounded by the parabola (y-2)^2=x-1, the tangent to the parabola at…
  12. 162.The area of the plane region bounded by the curves x+2y^2=0 and x+3y^2=1 is equal to:
  13. 163.The area enclosed between the curves y^2=x and y=|x| is:
  14. 164.Let f(x) be a non-negative continuous function such that the area bounded by the curve y=f…
  15. 165.The area enclosed between the curve y=_e(x+e) and the coordinate axes is:
  16. 166.The parabolas y^2=4x and x^2=4y divide the square region bounded by the lines x=4, y=4, an…
  17. 167.The area of the region bounded by the curves y=|x-2|, x=1, x=3, and the x-axis is:
  18. 168.The area of the region bounded by the curves y=|x-1| and y=3-|x| is:
  19. 169.If y=f(x) makes positive intercepts of 2 and 0 units on the x and y axes respectively, and…
  20. 170.The area bounded by the curves y= x, y=|x|, y=| x| and y=||x|| is:
  21. 171.Let the area of the region (x,y): x-2y+40, x+2y^20, x+4y^28, y0 be m/n, where m and n are …
  22. 172.The area enclosed by the curves xy+4y=16 and x+y=6 is equal to:
  23. 173.The area enclosed by the curves y^2+4x=4 and y-2x=2 is:
  24. 174.If the area of the region bounded by the curves y^2-2y=-x and x+y=0 is A, then 8A is equal…
  25. 175.The area of the region A=(x,y): | x- x| y x, 0 x 2 is:
  26. 176.Let, for x R, f(x)=x+|x|2 and g(x)=casesx, & x<0^2, & x0cases.
  27. 177.Let A be the area bounded by the curve y=x|x-3|, the x-axis, and the ordinates x=-1 and x=…
  28. 178.Let the area enclosed by the lines x+y=2, y=0, x=0, and the curve f(x)=(x^2+34, 1+[x]) (wh…
  29. 179.The area bounded by the curve y=|x^2-9| and the line y=3 is:
  30. 180.The area of the region bounded by y^2=8x and y^2=16(3-x) is equal to:
  31. 181.If the area of the region (x,y):x^2/3+y^2/31, x+y0, y0 is A, then 256A is equal to_____ An…
  32. 182.The area of the region S=(x,y):y^28x, y√2,x, x1 is:
  33. 183.The area enclosed by y^2=8x and y=√2,x that lies outside the triangle formed by y=√2,x, x=…
  34. 184.The odd natural number a, such that the area of the region bounded by y=1, y=3, x=0, x=y^a…
  35. 185.The area bounded by the curves y=|x^2-1| and y=1 is:
  36. 186.The area of the region enclosed by y4x^2, x^29y, and y4 is equal to:
  37. 187.The area enclosed by the curves y=(x+e^2), x=(2y), and x=2, above the line y=1, is:
  38. 188.The area of the region (x,y):|x-1| y√5-x^2 is equal to:
  39. 189.Let the locus of the centre (,), >0, of the circle which touches the circle x^2+(y-1)^2=1 …
  40. 190.The area of the region given by A=(x,y):x^2 yx+2,4-3x is:
  41. 191.Area (in sq.
  42. 192.The area of the plane region bounded by the curves x + 2y^2 = 0 and [,x + 3y^2 = 1] is equ…
  43. 193.The area of the region enclosed by the curves [y = x,x = e,y = 1 x] and the positive x-axi…
  44. 194.The area (in sq.
  45. 195.The area (in sq.
  46. 196.The area (in sq.
  47. 197.Let g(x) = cosx2, f(x) = [ x ] and [ , ( < )] be the roots of the quadratic equation 18x2 …
  48. 198.The area (in sq.
  49. 199.If the area of the region bounded by the curves, [y = x^2,y = 1 x] and the lines y = 0 and…
  50. 200.The area (in sq.units) of the region bounded by the curves y = 2x and y = |x + 1|, in the …