Home
Class 12
MATHS
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 `200s qdotu n i t s` (b) `400s qdotu n i t s` `800s qdotu n i t s` (d) `500s qdotu n i t s`

A

400

B

800

C

600

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|24 Videos

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|5 Videos

  • AREA OF BOUNDED REGIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|10 Videos

  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

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

What is the area of the shaded region? (FIGURE) 32-4 pi s qdotu n i t s (b) 32-8 pi s qdotu n i t s (c) 16-4 pi s qdotu n i t s (d) 16-8 pi s qdotu n i t s

The area of the region enclosed between the curves x=y^2-1a n dx=|y|sqrt(1-y^2) is 1s qdotu n i t s (b) 4/3s qdotu n i t s 2/3s qdotu n i t s (d) 2s qdotu n i t s

A tangent having slope of -4/3 to the ellipse (x^2)/(18)+(y^2)/(32)=1 intersects the major and minor axes at point Aa n dB , respectively. If C is the center of the ellipse, then the area of triangle A B C is 12s qdotu n i t s (b) 24s qdotu n i t s 36s qdotu n i t s (d) 48s qdotu n i t s

The area of the region bounded by x=0,y=0,x=2,y=2,ylt=e^x a n dygeq1nx is 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

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 1/4s qdotu n i t s (b) 4/3s qdotu n i t s 5/4s qdotu n i t s (d) 7/3s 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 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

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

ARIHANT MATHS-AREA OF BOUNDED REGIONS-Exercise For Session 2
  1. The area of the region bounded by y^2 = 2x + 1 and x - y -1=0 is

    Text Solution

    |

  2. The area of the region bounded by the curve y = 2x - x^2 and the line ...

    Text Solution

    |

  3. The area bounded by the curve y=x|x|, x-axis and the ordinates x=1,x=-...

    Text Solution

    |

  4. Area of the region bounded by the curves y=2^(x),y=2x-x^(2),x=0" and "...

    Text Solution

    |

  5. What is the area bounded by the curves y=e^x ,y =e ^-x and the straig...

    Text Solution

    |

  6. Area (in square units) of the region bounded by the curve y^(2)=4x,y...

    Text Solution

    |

  7. The area of the region bounded by y=sinx, y=cosx in the first quadrant...

    Text Solution

    |

  8. The area bounded by the curves y=x e^x ,y=x e^(-x) and the line x=1 is...

    Text Solution

    |

  9. The figure into which the curve y^2 = 6x divides the circle x^2 + y^2 ...

    Text Solution

    |

  10. Find the area bounded by the y-axis, y=cosx ,a n dy=sinxw h e n0lt=xlt...

    Text Solution

    |

  11. The area bounded by the curve y=3/|x| and y+|2-x|=2 is

    Text Solution

    |

  12. The area bounded by the curvesy=-x^(2)+2 and y=2|x|-x is

    Text Solution

    |

  13. The are bounded by the curve y^2 = 4x and the circle x^2+y^2-2x-3=0 is

    Text Solution

    |

  14. A point P moves inside a triangle formed by A(0,0),B(1,1/sqrt(3)),C(2,...

    Text Solution

    |

  15. The graph of y^2+2x y+40|x|=400 divides the plane into regions. Then t...

    Text Solution

    |

  16. The aera of the region defined by ||x|-|y||le1 and x^(2)+y^(2)le1 in t...

    Text Solution

    |

  17. The area of the region defined by 1 le |x-2|+|y+1| le 2 is (a) 2 (b) 4...

    Text Solution

    |

  18. The area of the region enclosed by the curve |y|=-(1-|x|)^2+5, is

    Text Solution

    |

  19. The area bounded by the curve f(x)=||tanx+cotx|-|tanx-cotx|| between t...

    Text Solution

    |

  20. If f(x) = max {sin x, cos x,1/2}, then the area of the region bounded ...

    Text Solution

    |