Home
Class 11
MATHS
The area enclosed by 2|x|+3|y|lt=6 is ...

The area enclosed by `2|x|+3|y|lt=6` is (a)3 sq. units (b) 4 sq. units (c)12 sq. units (d) 24 sq. units

Text Solution

AI Generated Solution

Promotional Banner

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

If f(x+y) = f(x).f(y) for all x and y. f(1)=2 , then area enclosed by 3|x|+2|y|le 8 is (A) f(5) sq. units (B) f(6) sq. units (C) 1/3 f(6) sq. units (D) f(4) sq. units

The area of the region bounded by the curves y=|x-1| and y=3-|x| is (A) 6 sq. units (B) 2 sq. units (C) 3 sq. units (D) 4 sq. units

The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 sq. units (b) 2 sq. units 2sqrt(2) sq. units (d) 4 sq. units

The area bounded by the curves y=|x|-1a n dy=-|x|+1 is 1 sq. units (b) 2 sq. units 2sqrt(2) sq. units (d) 4 sq. units

Let f(x)=min (x+1,sqrt(1-x)) for all xlt=1. Then the area bounded by y=f(x) and the x-axis is (a) 7/3 sq units (b) 1/6 sq units (c) (11)/6 sq units (d) 7/6 sq units

If f(x)=sinx ,AAx in [0,pi/2],f(x)+f(pi-x)=2,AAx in (pi/2,pi]a n df(x)=f(2pi-x),AAx in (pi,2pi], then the area enclosed by y=f(x) and the x-axis is (a) pi sq dot units (b) 2pi sq dot units (c) 2 sq dot units (d) 4 sq dot units

If z_1a n dz_2 are two complex numbers satisfying |z-4|=R e(z) and having greatest and least principal argument respectively, then area of triangle formed by origin, z_1&z_2 is 10 sq. units (b) 12 sq. units 16 sq. units (d) 20 sq. units

The area of a circle whose area and circumference are numerically equal, is (a) 2pi sq. units (b) 4pi sq. units (c) 6pi sq. units (d) 8pi sq. units

Area of the triangle formed by the line x+y=3 and the angle bisectors of the pairs of straight lines x^2-y^2+2y=1 is (a) 2 sq units (b) 4 sq units (c) 6 sq units (d) 8 sq units

If the centroid of a triangle is (1,\ 4) and two of its vertices are (4,\ -3) and (-9,\ 7) , then the area of the triangle is 183 sq. units (b) (183)/2 sq. units (c) 366 sq. units (d) (183)/4 sq. units

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. The point A(2,1) is translated parallel to the line x-y=3 by a dista...

    Text Solution

    |

  2. Let A B C be a triangle. Let A be the point (1,2),y=x be the perpen...

    Text Solution

    |

  3. The area enclosed by 2|x|+3|y|lt=6 is (a)3 sq. units (b) 4 sq. un...

    Text Solution

    |

  4. The lines y=m1x ,y=m2xa n dy=m3x make equal intercepts on the line x+...

    Text Solution

    |

  5. The condition on a and b , such that the portion of the line a x+b y-...

    Text Solution

    |

  6. One diagonal of a square is along the line 8x-15 y=0 and one of its ve...

    Text Solution

    |

  7. The straight line a x+b y+c=0 , where a b c!=0, will pass through the ...

    Text Solution

    |

  8. A square of side a lies above the x-axis and has one vertex at the ori...

    Text Solution

    |

  9. If the sum of the distances of a point from two perpendicular lines in...

    Text Solution

    |

  10. ABC is a variable triangle such that A is (1, 2), and B and C on the l...

    Text Solution

    |

  11. Consider a A B C is which side A Ba n dA C are perpendicular to x-y-4...

    Text Solution

    |

  12. Column I|Column II Two vertices of a triangle are (5,-1)a n d(-2...

    Text Solution

    |

  13. . The lines (a+b)x + (a-b) y-2ab=0, (a-b)x+(a+b)y-2ab = 0 and x+y=0 f...

    Text Solution

    |

  14. Each equation contains statements given in two columns which have to b...

    Text Solution

    |

  15. The st. lines 3x + 4y =5 and 4x-3y = 15 interrect at a point A(3,-1)....

    Text Solution

    |

  16. The area of the triangular region in first quadrant bounded on the lef...

    Text Solution

    |

  17. Find the area enclosed by the graph of x^2y^2-9x^2-25 y^2+225=0.

    Text Solution

    |

  18. Lines L1-=a x+b y+c=0 and L2-=l x+m y+n=0 intersect at the point P and...

    Text Solution

    |

  19. Let A B C be a triangle with A B=A Cdot If D is the midpoint of B C ,E...

    Text Solution

    |

  20. For a gt b gt c gt 0, the distance between (1, 1) and the point of int...

    Text Solution

    |