Home
Class 12
MATHS
A point moves such that the area of the ...

A point moves such that the area of the triangle formed by it with the points (1,5) and (3,-7) is + 21 sq. units. The locus of the point is

A

`6 x+y+32=0`

B

`6 x-y+32=0`

C

`x+6 y-32=0`

D

`6 x-y-32=0`

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

Find the area of the triangle formed by points (3, 4, (2-1), and (4,-6).

Find the area of a triangle formed by the points A(5, 2), B(4, 7) and C(7, -4).

Find the value of a for which the area of the triangle formed by A(a, 2a), B(-2, 6), and C(3, 1) is 10 sq. units.

Find the area of the triangle formed by the points (2, 3), (6, 3) and (2, 6) by using Heron’s formula

The area of a triangle with vertices (-3,0),(3,0) and (0,k) is 9 sq. units . The value of k will be :

Find the Area of the triangle formed by joining the mid points of the sides (0,-1) (2,1) and (0,3)

If the area of the triangle with vertices (2,-6),(5,4) and (K,4) is 35 sq. units, then find the values of K, using determinants.

The equation of the circle circumscribing the triangle formed by the points (0,0),(1,0) and (0,1) is

The angle between the lines formed by joining the points (2,-3),(-5,1) and (7,-1),(0,3) is

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. The centroid of the triangle is (2,7) and two of its vertices are (4,8...

    Text Solution

    |

  2. The inclination of the line through (-3,6) and the midpoint of the lin...

    Text Solution

    |

  3. A point moves such that the area of the triangle formed by it with the...

    Text Solution

    |

  4. The area bounded by the curves x+2|y|=1 and x=0 is

    Text Solution

    |

  5. The foot of the perpendicular from the point (2,4) upon x+y=4 is

    Text Solution

    |

  6. A (1, 3) and C(7, 5) are two opposite vertices of a square. The equati...

    Text Solution

    |

  7. Distance between the parallel lines y=2 x+7 and y=2 x+5 is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Find the area of the triangle Delta ABC with A(a,b+c), B(b,c+a), and C...

    Text Solution

    |

  11. A(-1,1), B(5,3) are opposite vertices of a square in the x y plane. Th...

    Text Solution

    |

  12. A straight line through P(1,2) is such that the intercept between the...

    Text Solution

    |

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

    Text Solution

    |

  14. The diagonals of the parallelogram whose sides are lx+m y+n=0, l x+...

    Text Solution

    |

  15. The lines 2 x+y-1=0, a x+3 y-3=0 and 3 x+2 y-2=0 are concurrent

    Text Solution

    |

  16. A point equidistant from the lines 4x+3y+10=0, 5x-12y+26=0 and 7x+24y-...

    Text Solution

    |

  17. The area of the triangle formed by the coordinate axes and the line 4 ...

    Text Solution

    |

  18. The angle between the lines formed by joining the points (2,-3),(-5,1)...

    Text Solution

    |

  19. The variable line (x)/(a)+(y)/(b)=1 is such that a+b=10 . The locus of...

    Text Solution

    |

  20. If A=(-3,4), B=(-1,-2), C=(5,6), D=(x,-4) are vertices of a quadrilate...

    Text Solution

    |