Home
Class 11
MATHS
The equation to the base of an equilater...

The equation to the base of an equilateral triangle is `(sqrt3+1)x+(sqrt3-1)y+2sqrt3=0` and opposite vertex is A(1,1) then the Area of the trangle is

A

`3sqrt2`

B

`3sqrt3`

C

`2sqrt3`

D

`4sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-II Problems on form, symmetric form, Perpendicular distance and Ratio)(More than correct answer Type Question)|8 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-II Problems on form, symmetric form, Perpendicular distance and Ratio)(Linked comprehension Type Question)|3 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-II Problems on form, symmetric form, Perpendicular distance and Ratio) ( Straight Objective Type Question)|1 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

The base of an equilateral triangle x + y = 2 = 0 and opposite vertex is (2 , - 1). Find the equations of the remaining sides .

The equation of an altitude of an equilateral triangle is sqrt3x+y=2sqrt3 and one of its vertices is (3,sqrt3) then The possible number of triangle (s) is

The equation of the base of ann equilateral triangle is 3x-4y+15=0 and one vertex is (1,2). The length of the side is

The equation of an altitude of an equilateral triangle is sqrt3x+y=2sqrt3 and one of its vertices is (3,sqrt3) then Which of the following can not be the vertex of the triangle

The equation of an altitude of an equilateral triangle is sqrt3x+y=2sqrt3 and one of its vertices is (3,sqrt3) then Which of the following can be the possible orthocentre of the triangle

The equation to the base of a equilateral triangle is x+y=2 and one vertex is (2,-1). The length of the side is

One side of an equilateral triangle is 3x+4y=7 and its vertex is (1,2). Then the length of the side of the triangle is

The equation of two altitudes of an equilateral triangle are sqrt3x - y + 8 - 4 sqrt3 = 0 and sqrt3x + y - 12 - 4 sqrt3 = 0 . The equation of the third altitude is

If a vertex of an equilateral triangle is the origin and the side opposite to it has the equation x+y=1 , then the orthocentre of te triangle is

AAKASH SERIES-STRAIGHT LINES-LECTURE SHEET(EXERCISE-II Problems on form, symmetric form, Perpendicular distance and Ratio)( Straight Objective Type Question)
  1. If P,Q are two point on the line 3x+4y+15=0 such that OP=OQ=9, then th...

    Text Solution

    |

  2. The algebraic sum of the perpendicular distances from A, B, C to a var...

    Text Solution

    |

  3. The equation to the base of an equilateral triangle is (sqrt3+1)x+(sqr...

    Text Solution

    |

  4. If the base of an isosceles triangle is of length 2P and the length of...

    Text Solution

    |

  5. Line L has intercepts a and b on the coordinate axes. When the axes ar...

    Text Solution

    |

  6. An equilateral triangle is constructed between two parallel line sqrt3...

    Text Solution

    |

  7. The line L given by x/5+y/b=1 passes through the point (13,32). The li...

    Text Solution

    |

  8. PQR is an equitateral triangle such that the vertices Q and R lie on t...

    Text Solution

    |

  9. P is a point on the line y=2x+1, and Q and R are tow points on the lin...

    Text Solution

    |

  10. If P(1+t//sqrt2,2+t//sqrt2) is any point on a line, then the range of ...

    Text Solution

    |

  11. The line x+2y=4 is transtated by 3units closer to the origin and then ...

    Text Solution

    |

  12. If the line 2x+y=k passes through the point which divides the line seg...

    Text Solution

    |

  13. A straight line through the origin O meets the parallel lines 4x+2y=9 ...

    Text Solution

    |

  14. The foot of the perpendicular on theline 3x+y=lambda drawn from the or...

    Text Solution

    |

  15. The range of alpha " for which the points " (alpha,alpha+2) and ((3a...

    Text Solution

    |

  16. P(m,n)(m,nin N) is any point in the inerior of the the quadrilateral f...

    Text Solution

    |

  17. If (sintheta,costheta,0 in[0,2theta] and (1,4) " lie on the same side ...

    Text Solution

    |

  18. The set of values of 'b' for which the origin and the point (1,1) lie ...

    Text Solution

    |

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

    Text Solution

    |

  20. If A(3,4) and B is a variable point on the lines |x|=6.If ABle4 then n...

    Text Solution

    |