Home
Class 12
MATHS
If two vertices of an equilateral triang...

If two vertices of an equilateral triangle have integral co-ordinates, then the third vertex will have :

A

integral co-ordinates

B

co-ordinates, which are rational

C

at least one co-ordinate irrational

D

co-ordinates, which are irrational.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|12 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos
  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise RCQ.s Recent Competitive Questions (Questions from Karnataka CET & Comed|6 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos

Similar Questions

Explore conceptually related problems

If the vertices of an equilateral triangle have rational co-ordinates, then the triangle cannot be :

The base vertices of an isosceles triangle are (7,9) and (3,-7), then the third vertex is

Two vertices of an equilateral trianglt are (-1,0) and (1,0) and its third vertex is above the x -axis. The equation of its circum circle is

The points (3,2),(-3,2),(0, h) are the vertices of an equilateral triangle. If h le 0 then the value of h is

The altitude of an equilateral triangle having the length of its side 12 cm is

Let the vertex of an equilateral triangle be the origin and the side opposite to it have the equaiton x+y=1 . Then the co-ordinates of the orthocentre of the triangle are:

The charges Q, +q and + q are placed at the vertices of an equilateral triangle of side l . If the net electrostatic potential energy of the system is zero , the Q is equal to

MODERN PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES -Multiple Choice Questions (LEVEL-II)
  1. If alpha beta gt 0, ab gt 0 and the variable line (x)/(a), (y)/(b)=1 i...

    Text Solution

    |

  2. A ray of light coming from the point (1, 2) is reflected at a point A ...

    Text Solution

    |

  3. If two vertices of an equilateral triangle have integral co-ordinates,...

    Text Solution

    |

  4. Let A(1, 2) and B(3, 4) be two points. Let C(x, y) be a point such th...

    Text Solution

    |

  5. If p, p' be the lengths of perpendicular from (0, 0) on the lines: x...

    Text Solution

    |

  6. The points P(2,3) , Q(3, 5), R(7, 7) and S(4, 5) are such that:

    Text Solution

    |

  7. If P is a point (x, y) on the line y= -3x such that P and Q(3, 4) are ...

    Text Solution

    |

  8. Let A(-1, 0), B(0, 0) and C(3, 3sqrt(3)) be three points. Then the bis...

    Text Solution

    |

  9. The position of a moving point in XY-plane at time t is given by (u co...

    Text Solution

    |

  10. If the line y = mx meets the lines x+2y-1=0 and 2x-y+3=0 at the same p...

    Text Solution

    |

  11. Co-ordinates of the vertices of a triangle are (2, 0), (6, 0) and (1, ...

    Text Solution

    |

  12. The equation of base of an equilateral triangle is x+y=2 and vertex is...

    Text Solution

    |

  13. The triangle formed by the tangent to the curve f(x)=x^(2)+bx-b at the...

    Text Solution

    |

  14. A square of side a lies above the x-axis and has one vertex at the ori...

    Text Solution

    |

  15. If the equation of the locus of a point equidistant from the points (a...

    Text Solution

    |

  16. Locus of centroid of the triangle whose vertices are (a cos t, a sin ...

    Text Solution

    |

  17. Triangle is formed by the co-ordinates (0, 0), (0, 21) and (21, 0). Fi...

    Text Solution

    |

  18. If non-zero numbers a, b, c are in H.P., then the straight line (x)/(...

    Text Solution

    |

  19. If a vertex of a triangle is (1, 1) and the mid-points of two sides th...

    Text Solution

    |

  20. A straight line through the point A(3, 4) is such that its intercept b...

    Text Solution

    |