Home
Class 11
MATHS
Find the area of the region in which the...

Find the area of the region in which the points satisfy the inequaties `4ltx^2+y^2lt16` and `3x^2-y^2ge0`.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region in which points satisfy 3 le |x| + |y| le 5.

Sketch the regions which points satisfy |x+y| ge 2 .

Find the area of the region {( x,y): x^(2)lt ylt x}

Shade the regions where points satisfy |x-y| lt 1 .

Find tha area of the region containing the points (x, y) satisfying 4 le x^(2) + y^(2) le 2 (|x|+ |y|) .

Find the area of the region { (x,y): x^(2)lt y lt |x| }

Find the area of the region bounded by the curve y^(2) = 4x and the line x = 3.

Find the area of the region R which is enclosed by the curve ygeqsqrt(1-x^2) and max {|x|,|y|}lt=4.

Find the area of the region enclosed by the curves y=xlogx and y=2x-2x^2dot

Sketch the origin in which the points satisfying the following inequalities lie. (i) |x+y| lt 2 " (ii) " |2x-y| gt 3 " (iii) "|x| gt|y|

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The greatest distance of the point P (10,7) from the circle x^2+y^2-4x...

    Text Solution

    |

  2. Statement 1 : If the circle with center P(t ,4-2t),t in R , cut the c...

    Text Solution

    |

  3. Find the area of the region in which the points satisfy the inequaties...

    Text Solution

    |

  4. If points A and B are (1, 0) and (0, 1), respectively, and point C is ...

    Text Solution

    |

  5. If the line x+2b y+7=0 is a diameter of the circle x^2+y^2-6x+2y=0 , t...

    Text Solution

    |

  6. Column I|Column II If the circle lies in the first quadrant, the...

    Text Solution

    |

  7. Find the number of point (x ,y) having integral coordinates satisfying...

    Text Solution

    |

  8. The circle x^2+y^2-6x-10 y+k=0 does not touch or intersect the coordin...

    Text Solution

    |

  9. Statement 1 :The circles x^2+y^2+2p x+r=0 and x^2+y^2+2q y+r=0 touch i...

    Text Solution

    |

  10. If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at A and B , th...

    Text Solution

    |

  11. If the radii of the circles (x-1)^2+(y-2)^2=1 and (x-7)^2+(y-10)^2=4 a...

    Text Solution

    |

  12. A and B are two points in xy-plane, which are 2sqrt2 units distance ap...

    Text Solution

    |

  13. Two circles with radii a and b touch each other externally such that t...

    Text Solution

    |

  14. From the variable point A on circle x^2+y^2=2a^2, two tangents are dra...

    Text Solution

    |

  15. Two fixed circles with radii r1 and r2,(r1> r2) , respectively, touch ...

    Text Solution

    |

  16. If the circle x^2+y^2+2gx+2fy+c=0 is touched by y=x at P such that O P...

    Text Solution

    |

  17. Find the radius of the smallest circle which touches the straight line...

    Text Solution

    |

  18. The number of points P(x , y) lying inside or on the circle x^2+y^2=9 ...

    Text Solution

    |

  19. C1 and C2 are circle of unit radius with centers at (0, 0) and (1, 0),...

    Text Solution

    |

  20. The area of the triangle formed by the positive x-axis, and the normal...

    Text Solution

    |