Home
Class 12
MATHS
The area of the parallelogram formed by ...

The area of the parallelogram formed by the lines `y=m x ,y=x m+1,y=n x ,a n dy=n x+1` equals. `(|m+n|)/((m-n)^2)` (b) `2/(|m+n|)` `1/((|m+n|))` (d) `1/((|m-n|))`

A

`(|m + m|)/((m - n)^(2))`

B

`(2)/(|m + n|)`

C

`(1)/(|m + n|)`

D

`(1)/(|m - n|)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • AREA

    FIITJEE|Exercise Assignment Problems (Objective) Level - II|20 Videos
  • AREA

    FIITJEE|Exercise Comprehensions|9 Videos
  • AREA

    FIITJEE|Exercise Exercuse 4|4 Videos
  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Numerical|3 Videos
  • CIRCLE

    FIITJEE|Exercise Numerical Based|2 Videos

Similar Questions

Explore conceptually related problems

The area of the parallelogram formed by the lines y=mx,y=xm+1,y=nx, and y=nx+1 equals.(|m+n|)/((m-n)^(2)) (b) (2)/(|m+n|)(1)/((|m+n|)) (d) (1)/((|m-n|))

(m)/(n)x^(2)+(n)/(m)=1-2x

7 lf If log (x y m 2n and log (x4 y n 2m, then log X is equal to (A) (B) m-n (c) men (D) m n

The mth term of an arithmetic progression is x and nth term is y.Then the sum of the first (m+n) terms is: a.(m+n)/(2)[x-y+(x+y)/(m+n)] b.(1)/(2)[(x+y)/(m+n)+(x-y)/(m-n)]c(1)/(2)[(x+y)/(m+n)-(x-y)/(m-n)]d(m+n)/(2)[x+y+(x-y)/(m-n)]

If x,y are positive real numbers and m, n are positive integers, then prove that (x^(n) y^(m))/((1 + x^(2n))(1 + y^(2m))) le (1)/(4)

If x is nearly equal to 1, the (mx^(m)-nx^(n))/(m-n)=

2{(m-n)/(m+n)+1/3((m-n)/(m+n))^(3)+1/5((m-n)/(m+n))^(5) +..} is equals to

FIITJEE-AREA-Assignment Problems (Objective) Level - I
  1. The area defined by |y| le e ^(|x|)-1/2 in cartesian co-ordinate syste...

    Text Solution

    |

  2. The area defined by 2 le |X + y| + |x - y| le 4 is

    Text Solution

    |

  3. The area of the parallelogram formed by the lines y=m x ,y=x m+1,y=n x...

    Text Solution

    |

  4. Let a(1), b(1) = 8, a(1 + 1) = a(1) + (3)/(2) b(1) and b(1 + 1) = (1)/...

    Text Solution

    |

  5. For which of the following values of m is the area of the regions boun...

    Text Solution

    |

  6. Let S1, S2, be squares such that for each ngeq1, the length of a side...

    Text Solution

    |

  7. The area bounded by the curve x = sin^(-1) y, the x-axis and the lines...

    Text Solution

    |

  8. Let A(1) (r in N) be the area of the bounded region whose boundary is ...

    Text Solution

    |

  9. Area bounded by the curves y = 1 - 2^(1 + sin x), x in [0, (pi)/(2)] w...

    Text Solution

    |

  10. The area defined by |x + 1| + |2y - 3| le 1 in the x-y coordinate pla...

    Text Solution

    |

  11. The area defined by y le isn (sin^(-1) x) and x^(2) + y^(2) ge 1 is

    Text Solution

    |

  12. The area defined by ||x + y| - |x - y|| le 1, x^(2) + y^(2) =(1)/(2) i...

    Text Solution

    |

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

    Text Solution

    |

  14. The value of positive real parameter 'a' such that area of region blun...

    Text Solution

    |

  15. The area bounded by the parabola x^(2) + 8x + 12 y + 4 = 0 and its lat...

    Text Solution

    |

  16. The ratio of the areas of two regions of the curve C(1)-=4x^(2)+pi^(2)...

    Text Solution

    |

  17. The the area bounded by the curve |x| + |y| = c (c > 0) is 2c^(2), the...

    Text Solution

    |

  18. The area common to the region determined by y >= sqrtx and x^2 + y^2 <...

    Text Solution

    |

  19. A variable circle C touches the line y = 0 and passes through the poin...

    Text Solution

    |

  20. If area bouned by x^(3) y + xy^(3) - x^(2) y - xy^(2) = kxy is 0, then...

    Text Solution

    |