Home
Class 11
MATHS
The base of an equilateral triangle with...

The base of an equilateral triangle with side 2a lies along the `y` - axis such that the midpoint of the base is at the origin. Find vertices of the triangle.

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    V PUBLICATION|Exercise QUESTION BANK|45 Videos
  • TRIGNOMETRC FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|140 Videos

Similar Questions

Explore conceptually related problems

Find the in radius of an equilateral triangle of side 10cm . User r=A/s .

a) Draw the 'x, y' axes and mark țe points 'A(-3,0), B(3,0)' b) Construct an equilateral triangle ABC with AB as one of its sides. c) Write' the coordinates of the third vertex of the equilateral triangle.

A square is drawn on the altitude of an equilateral triangle of side 4 cm. a) What is the altitude of the triangle? b) What is the area and perimeter of the square?

A 50 centimetre long rod is to be cut into two pieces, one of which is to be bent to form a square and other is to be bent to form an equilateral triangle. The length of a side of the equilateral is twice the length of the side of a square. Find the length of the side of a square and equilateral triangle.

What is the circum radius of an equilateral triangle of sides 8 centimetres?

An equilateral triangle is inscribed in the parabola y^2=4 a x , where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.

V PUBLICATION-STRAIGHT LINES-QUESTIONBANK
  1. In the Figure, time and distance graph of a linear motion is given. Tw...

    Text Solution

    |

  2. Draw a quadrilateral in the Cartesian plane, whose vertices are (-4,5)...

    Text Solution

    |

  3. The base of an equilateral triangle with side 2a lies along the y - ax...

    Text Solution

    |

  4. Find the distance between P(x1, y1) and Q(x2, y2) when : (i) P Q is pa...

    Text Solution

    |

  5. Find the point on the x-axis which equidistant from the points (7,6) a...

    Text Solution

    |

  6. Find the slope of a line, which passes through the origin, and the mid...

    Text Solution

    |

  7. Without using the pythagoras theorem, show that the points (4,4),(3,5)...

    Text Solution

    |

  8. Find the slope of the line, which makes' angle of 30^(circ) with the p...

    Text Solution

    |

  9. Find the value of x for which the points (x,-1),(2,1)and(4,5) are coll...

    Text Solution

    |

  10. Without using distance formula, show that points (-2,-1),(4,0),(3 ,3) ...

    Text Solution

    |

  11. Find the angle between the positive x-axis and the line joining the po...

    Text Solution

    |

  12. The slope of a line is double of the slope of another line. If tangent...

    Text Solution

    |

  13. A line passes through (x1, y1) and (h, k) . If slope of the line is m,...

    Text Solution

    |

  14. If three points (h, 0),(a, b) and (0 , k) lie on a line. Show that a/h...

    Text Solution

    |

  15. Find the equations of the lines parallel to axes and passing through (...

    Text Solution

    |

  16. Find the equation of the line through (-2,3) with siope -4

    Text Solution

    |

  17. Find the equation of the line passing through the two points (1,-1) an...

    Text Solution

    |

  18. Write the equation of the line for which tan theta=1/2, where theta. i...

    Text Solution

    |

  19. Find equation of the line which makes intercepts -3 and 2 on the X and...

    Text Solution

    |

  20. Find the equation of the line whose perpendicular distance from origin...

    Text Solution

    |