Home
Class 12
MATHS
If the straight lines y = 2x, y = 2x + 1...

If the straight lines y = 2x, y = 2x + 1, y= -7x, y= -7x+ 1 form a parallelogram, then the area of the parallelogram (in square units) is

A

`(1)/(3)`

B

`(2)/(9)`

C

`(1)/(9)`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|53 Videos

  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|40 Videos

  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos

Similar Questions

Explore conceptually related problems

If the points A(2, 2), B(-2, -3), C(1, -3) and D(x, y) form a parallelogram then find the value of x and y.

Show that the straight line x^2-4xy+y^2=0 and x + y = 3 form an equilateral triangle.

If the straight lines 2x+3y-1=0,x+2y-1=0 ,and a x+b y-1=0 form a triangle with the origin as orthocentre, then (a , b) is given by (a) (6,4) (b) (-3,3) (c) (-8,8) (d) (0,7)

The line 2x+3y=5 , 2x+y=k , 2x-y-1=0

If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.

If the straight lines 12y=-(p+3)x+12,12x-7y=16 are perpendicular find 'p' .

If the straight lines 12y=-(p+3)x+12, 12x-7y=16 are perpendicular then find 'p'.

Find the area bounded by the lines y = 2x + 1 and y = 3x + 1 , x = 4 using integration.

NEW JOYTHI PUBLICATION-STRAIGHT LINES-QUESTIONS FROM COMPETITIVE EXAMS
  1. If the equation 3x + 3y + 5 = 0 is written in the form x cos alpha + ...

    Text Solution

    |

  2. The points on the line x + y = 4 lying at a unit distance from the li...

    Text Solution

    |

  3. If the straight lines y = 2x, y = 2x + 1, y= -7x, y= -7x+ 1 form a pa...

    Text Solution

    |

  4. The number of solutions for the system of equations 2x + y = 4, 3x + ...

    Text Solution

    |

  5. The points (2, 5) and (5, 1) are the two opposite vertices of a recta...

    Text Solution

    |

  6. The orthocentre of the triangle whose vertices are (5,-2), (-1, 2) an...

    Text Solution

    |

  7. The ratio by which the line 2x + 5y- 7 = 0 divides the straight line ...

    Text Solution

    |

  8. If p is the length of the perpendicular from the origin to the line w...

    Text Solution

    |

  9. A straight line perpendicular to the 2x + y = 3 is passing through (1...

    Text Solution

    |

  10. If x sin ^3 theta +y cos^3 theta = sin theta cos theta and x sin ...

    Text Solution

    |

  11. If the pair of lines ax^(2) + 2hxy + by^(2)+ 2gx + 2fy + c = 0 int...

    Text Solution

    |

  12. The point of lines represented by 3ax^(2) + 5xy + (a^(2) – 2)y^(2) = ...

    Text Solution

    |

  13. Locus of midpoint of the portion between the axes of x cos alpha + y ...

    Text Solution

    |

  14. A triangle with vertices (4, 0), (-1, -1), (3, 5) is

    Text Solution

    |

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

    Text Solution

    |

  16. If the pairs of straight lines x^(2) - 2pxy-y^(2)=0 and x^(2) – 2qxy ...

    Text Solution

    |

  17. Locus of centroid of the triangle whose vertices are (a cost, a sint)...

    Text Solution

    |

  18. Show that the area of the triangle formed by the lines y = m(1) x + c(...

    Text Solution

    |

  19. Let A (2, -3) and B (-2, 1) be vertices of a triangle ABC. If the cen...

    Text Solution

    |

  20. The equation of the straight line passing through the point (4, 3) an...

    Text Solution

    |