Home
Class 12
MATHS
The equation of one side of a rectangle ...

The equation of one side of a rectangle is `3 x-4 y-10=0` and the coordinates of two of its vertices are (-2,1) and `(2,4) .` Then the area of the rectangle is

A

20 sq. units

B

`40 sq. units

C

10 sq. units

D

30 sq. units

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

The area of the triangle with vertices at (-4,1) , (1,2),(4,-3) is

Find the area of Rhombus if its vertices are (3,0) (4,5) (-1,4) and (-2,-1) taken in order.

The two opposite vertices of a square are (-1,2) and (3, 2). Find the coordinates of the other two vertices.

Find the area of the triangle vertices are (2, 3) (-1, 0), (2, -4)

The coordinates of the circumcentre of the triangle with vertices (2,3),(4,-1) and (4,3) are

What type of triangle is DeltaABC , with the coordinates of the vertices are A(-1, 0) B(1, 0) and C(0, sqrt(3)) . Calculate its Area. OR Find the values of k so that the area of the triangle with vertices (1, -1) (-4, 2k) and (-k, -5) is 24 sq. units.

IF the coordinates of the midpoints of the sides of a triangle are (1, 2), (0, -1), and (2,-1), find vertices of triangle.

The equations to the sides of a triangle are x+2 y=0,4 x+3 y=5 and 3 x+y=0 . The line 3 x-4 y=0 passes through

The equation of the ellipse whose vertices are (-4,1) and (6,1) and a focus lies on x-2 y-2 =0 is

If the area of the triangle with vertices (x, 0). (1.1) and (0.2) is 4 square units then a value of

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. Let 0 leq theta leq (pi)/(2) and x=X cos theta+Y sin theta <bx> y=X si...

    Text Solution

    |

  2. The equation of a line passing through the point of intersection of x-...

    Text Solution

    |

  3. The equation of one side of a rectangle is 3 x-4 y-10=0 and the coordi...

    Text Solution

    |

  4. A line passes through (2,2) and is perpendicular to the line 3x+y=3 ...

    Text Solution

    |

  5. The range of values of theta in the interval (0, pi) such that the poi...

    Text Solution

    |

  6. If the point (a, a) falls between the lines |x+y|=2, then :

    Text Solution

    |

  7. If the point P(a, b) lies on the line 3 x+2 y=13 and the point Q(b, a)...

    Text Solution

    |

  8. The bisector of the acute angle formed between the linex 4 x-3 y+7=0 a...

    Text Solution

    |

  9. Circumcentre of the triangle formed by the lines xy+2x+2y+4=0 and x+...

    Text Solution

    |

  10. Point underline(Q) is symmetric to P(4,-1) with respect to the bisecto...

    Text Solution

    |

  11. The coordinate axes are rotated about the origin O in the counter cloc...

    Text Solution

    |

  12. The area of the quadrilateral formed by two pairs of lines l^(2) x^(2)...

    Text Solution

    |

  13. The transformed equation of x^(2)+6 x y+8 y^(2)=10 when the axes are r...

    Text Solution

    |

  14. The value of k for which the lines 2 x-3 y+k=0,3 x-4 y-13=0,8 x-11 y-3...

    Text Solution

    |

  15. The transformed equation of 3 x^(2)+3 y^(2)+2 x y-2=0 when the coordin...

    Text Solution

    |

  16. The distance of the line 2 x-3 y=4 from the point (1,1) measured paral...

    Text Solution

    |

  17. The base vertices of an isosceles triangle P Q R are Q=(1,3) and R=(-2...

    Text Solution

    |

  18. A ray of light coming from the point (1, 2) is reflected at a point A ...

    Text Solution

    |

  19. The equation of the bisectors of the angles between the linex |x|=|y| ...

    Text Solution

    |

  20. Orthocentre of the triangle formed by the lines x+y=1 and x y=0 is

    Text Solution

    |