Home
Class 12
MATHS
The base of a triangle lies along the li...

The base of a triangle lies along the line x=a and is of length a. The area of the triangle is a^2. The locus of the third vertex is

A

`x=0`

B

`x=-a`

C

`x=a//2`

D

`x=a`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-1)|10 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET-2)|7 Videos

  • STRAIGHT LINES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A|119 Videos

  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 Videos

  • SYSTEM OF CIRLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4 )|4 Videos

Similar Questions

Explore conceptually related problems

The perimeter of a triangle is 20 and the points ( -2, 3 ) and ( -2, 3 ) are two of the vertices of it. The locus of the third vertex is

The base of an equilateral triangle is along the line given by 3x+4y=9 . If a vertex of the triangle is (1,2) then length of a side of the triangle is

Two vertices of a triangle are (5,-1) and (-2,3). If the orthocentre of the triangle is the origin, find the third vertex.

The ends of the hypertenuse of right angled triangle are ( 0 , 6 ) , (6, 0 ) . The locus of the third vertex is

Two vertices of a triangle are (5, -1) and (-2, 3). If the centroid of the triangle is the origin, then the third vertex is

Two vertices of a triangle are (3 , 5) and ( - 4 , -5) . If the centroid of the triangle is (4 , 3), find the third vertex.

Given the base of the triangle and the sum of tangent of base angles as a negative constant -k^(2) , show that the locus of the vertex of the triangle is a parabola.

DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
  1. In DeltaABC, if B = (1, 2), C = (5, 6) and the internal bisector of th...

    Text Solution

    |

  2. In a triangle ABC, if A-=(1,2) and the internal angle bisectors throug...

    Text Solution

    |

  3. The base of a triangle lies along the line x=a and is of length a. The...

    Text Solution

    |

  4. A(1, 0), B(0, 1) are two points. If P(x, y) is a point such that xy gt...

    Text Solution

    |

  5. The quadrilateral formed by the lines x+8y+37=0, 7x-6y+11=0, x+8y-87=0...

    Text Solution

    |

  6. The lines 2x+y=1, x+2y=1, 2x+y=3, x +2y=3 form

    Text Solution

    |

  7. The quadrilateral formed by the lines x-y+2=0, x+y=0, x-y-4=0, x+y-12=...

    Text Solution

    |

  8. The quadrilateral formed by the lines x+y-3=0, x-y+3=0, x+y+1=0, x-y-1...

    Text Solution

    |

  9. The quadrilateral formed by the lines sqrt(3)x+y=0,sqrt(3)y+x=0, sqrt(...

    Text Solution

    |

  10. The are of the quadrilateral formed by the lines x-y+2=0, x+y=0, x-y-4...

    Text Solution

    |

  11. A : The area of the parallelogram formed by 4x-7y-13=0, 8x-y-39=0, 4x-...

    Text Solution

    |

  12. The area of the quadrilateral formed by the lines a|x|+b|y|+c=0 is

    Text Solution

    |

  13. Find the area enclosed with in the curve |x| +|y|=1

    Text Solution

    |

  14. The area of the parallelogram formed by the lines 4y-3x-a=0, 3y-4x+a=...

    Text Solution

    |

  15. P(2, 1), Q(4, -1), R(3, 2) are the vertices of a triangle and if throu...

    Text Solution

    |

  16. A point moves in the xy-plane such that the sum of its distances from ...

    Text Solution

    |

  17. The angle between the lines 4x-y+9=0, 25x+15y+27=0 is

    Text Solution

    |

  18. The angle between the lines x cos alpha+y sin alpha=p(1) and x cos bet...

    Text Solution

    |

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

    Text Solution

    |

  20. Find the angle between the lines ax+by=a+b,a(x-y)+b(x+y)=2b

    Text Solution

    |