Home
Class 11
MATHS
Base of the equilateral triangle is alon...

Base of the equilateral triangle is along the line `x + y- 2 = 0` and its one vertex is `(2, -1). ` Find area of triangle.

Text Solution

Verified by Experts

The correct Answer is:
`(1)/( 2 sqrt3)`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Text based MCQs|25 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Latest Exam MCQs|1 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Miscellaneous Exercise : 10|26 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|15 Videos

Similar Questions

Explore conceptually related problems

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

The ratio of the measures of three sides of a triangle is 4 : 2 : 3 and its perimeter is 36 cm. Find the area of this triangle.

One vertex of the equilateral triangle with centroid at the origin and one side as x+y -2 =0 is

Let the base of a triangle lie along the line x = a and be of length 2a. The area of this triangles is a^(2) , if the vertex lies on the line

An equilateral triangle has one vertex at (3, 4) and another at (-2, 3). Find the coordinates of the third vertex.

Prove that the area of the equilateral triangle described on the side of a square is half the area of the equilateral triangles described on its diagonal.

Two sides of the triangle are along the lines 3x-2y+6=0 and 4x+5y-20=0 . If ortho centre of the triangle is (1,1) . Find the equation of third side of the triangle.

In the given figure, ABC is an equilateral triangle with side 14 cm and a circle of radius 7 cm is drawn with vertex A as centre. Find the area of the shaded region. (Use sqrt(3) = 1.73 ) [Hint : Required area = Area of triangle + Area of circle -2 xx Area of sector]

The base of an equilateral triangle with side 2a lies along the Y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.

KUMAR PRAKASHAN-STRAIGHT LINES-Practice Work
  1. If origin is shifted to point (1,-2) then find the new transformed for...

    Text Solution

    |

  2. At which origin will be shifted so, that new coordinate at point (4,5)...

    Text Solution

    |

  3. On which point we shift origin so that new transformed form of the equ...

    Text Solution

    |

  4. Prove that area at triangle will remain same by shifting origin at any...

    Text Solution

    |

  5. By shifting origin at (-2,3) find new transformed form at the equation...

    Text Solution

    |

  6. Find equation of line passes from ( sqrt(3) ,-1) whose perpendicular d...

    Text Solution

    |

  7. Two oppositive verticies of rectangle are (-3,1) and (1,1). Also equat...

    Text Solution

    |

  8. Lines 3x+4y+5=0 and 4x-3y-10=0 intersects at point A. B is the point o...

    Text Solution

    |

  9. Find image of point (-8, 12) with respect to line 4x+7y+ 13=0.

    Text Solution

    |

  10. Two sides of the triangle are along the lines 3x-2y+6=0 and 4x+5y-20=0...

    Text Solution

    |

  11. A(0,-1,-2), B(3,1,4) and C(5,7,1) are vertices of DeltaABD then find t...

    Text Solution

    |

  12. Point (2, 1) has reflection as simple mirror (5, 2). Find equation of ...

    Text Solution

    |

  13. Base of the equilateral triangle is along the line x + y- 2 = 0 and it...

    Text Solution

    |

  14. Find equation of line passess from point (2, 3) and cuts line segment ...

    Text Solution

    |

  15. Find equation of line whose sum and product of intercepts on axis are ...

    Text Solution

    |

  16. Without finding point of intersection obtain the equation of line pass...

    Text Solution

    |

  17. Two adjacent sides of the parallogram are 4x + 5y = 0 and 7x + 2y = 0 ...

    Text Solution

    |

  18. If m(1) and m(2) are the roots of the equation x^(2) + ( sqrt(3) + 2) ...

    Text Solution

    |

  19. Find distance from point (3, 5) to the line 2x + 3y = 14 and the dista...

    Text Solution

    |

  20. If the lines ax + y + 1 = 0, x + by + 1 = 0 and x + y + c = 0 are co...

    Text Solution

    |