Home
Class 12
MATHS
If the equation of base of an equilatera...

If the equation of base of an equilateral triangle is 2x - y = 1 and the vertex is (-1, 2), then the length of the side of the triangle is

A

`sqrt((20)/(3))`

B

`(2)/(sqrt(15))`

C

`sqrt((8)/(15))`

D

`sqrt((15)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
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

The equation of the base BC of an equilateral triangle ABC is x+y= 2 and A is (2, -1). The length of the side of the triangle is

If the equation of the base opposite to the vertex (2,3) of a equilateral triangle is x+y=2, then the length of a side is

One vertex of an equilateral triangle is (2,2) and its centroid is (-2/sqrt3,2/sqrt3) then length of its side is

The equation of the circumcircle of an equilateral triangle is x^2+y^2+2gx+2fy+c=0 and one vertex of the triangle in (1, 1). The equation of the incircle of the triangle is (a) 4(x^2+y^2)=g^2+f^2 (b) 4(x^2+y^2)=8gx+8fy=(1-g)(1+3g)+(1-f)(1+3f) (c) 4(x^2+y^2)=8gx+8fy=g^2+f^2 (d) none of these

Three charges 6muC are fixed at the three vertices of an equilateral triangle of side 9cm. Find the potential at the mid point of the base of the triangle.

The area of an equilateral triangle whose side ''a'' is . . . . . . .

Three particles each of mass m are placed at the three corners of an equilateral triangle of side a. The work done on the system to increase the sides of the triangle to 2a is:

NEW JOYTHI PUBLICATION-STRAIGHT LINES-QUESTIONS FROM COMPETITIVE EXAMS
  1. If the pairs of lines x^(2) – 2nxy - y^(2) = 0 and x^(2) – 2mxy - y^(...

    Text Solution

    |

  2. The angle between the pair of straight lines y^(2)sin^(2)theta - xy s...

    Text Solution

    |

  3. If the equation of base of an equilateral triangle is 2x - y = 1 and ...

    Text Solution

    |

  4. The image of the origin with reference to the line 4x + 3y - 25 = 0 i...

    Text Solution

    |

  5. The position of reflection of the point (4, 1) about the line y = x -...

    Text Solution

    |

  6. The line 2x - y = 1 bisects angle between two lines. If equation of o...

    Text Solution

    |

  7. The ratio in which the line x+y=4 divides the line joining the points...

    Text Solution

    |

  8. The angle between the lines sqrt3 x – y–2 = 0 and x – sqrt3 y+1=0 is

    Text Solution

    |

  9. Let Q(a, b) be a point on the line x+y=1. Then the equation of a set ...

    Text Solution

    |

  10. The equation of the line passing through the origin and the point of ...

    Text Solution

    |

  11. The vertices A, B, C of a triangle are (2, 1), (5, 2) and (3, 4) resp...

    Text Solution

    |

  12. The x-axis, y-axis and a line passing through the point A(6,0) form a...

    Text Solution

    |

  13. The equations of the lines through the point (3, 2) which makes an an...

    Text Solution

    |

  14. The straight lines 3x + 4y - 5 = 0 and 4x -3y = 15 intersect at the p...

    Text Solution

    |

  15. The equation of the line which is such that the portion of line segme...

    Text Solution

    |

  16. In Delta ABC, a= 13 cm, b=12 cm and c=5 cm. Then the distance of A fr...

    Text Solution

    |

  17. The equation of a line through the point (1, 2) whose distance from t...

    Text Solution

    |

  18. If a line with y - intercept 2 is perpendicular to the lines 3x - 2y=...

    Text Solution

    |

  19. If the lines ax + ky + 10 = 0, bx + (k + 1) y + 10 = 0 and cx + (k+2)...

    Text Solution

    |

  20. The lines (a +2b)x +(a – 3b)y= a - b for different values of a and b ...

    Text Solution

    |