Home
Class 12
MATHS
A st. line through the point (2, 2) inte...

A st. line through the point (2, 2) intersects the lines `sqrt(3)x+y=0 and sqrt(3)x-y=0` at the points A and B. The equation to the line AB so that the triangle OAB is equilateral is :

A

`x-2=0`

B

`y-2=0`

C

`x+y-4=0`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

The distance of the point of intersection of the lines 2 x-3 y+5=0 and 3 x+4 y=0 from the line 5 x-2 y=0 is

Find the angle between the lines y - sqrt(3) x - 5 = 0 and sqrt(3) y - x + 6 = 0

If the line y = mx meets the lines x+2y-1=0 and 2x-y+3=0 at the same point, then m equals :

If the point P(a, b) lies on the line 3 x+2 y=13 and the point Q(b, a) lies on the line 4 x-y=5 , then the equation of the line P Q is

A straight line L through the point (3, -2) is inclined at an angle 60^(@) to the line sqrt(3)x+y=1 . If L also intersects the x-axis, then the equation of L is :

Find the equation of the line passing through the point of intersection of the lines x+5y+7=0 and 3x+2y-5=0 (b) perpendicular to the line 7x + 2y - 5 = 0

Angle between the lines sqrt(3)(x^(2)+y^(2))-4 x y=0 is

Find the points of intersection of the line 2x+3y=18 and the circle x^(2)+y^(2)=25 .

The distance of the point (1, 2) from the line x+y=0 measured parallel to the line 3x-y=2 is :

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. The medians AD and BE of a triangle with vertices A (0, b), B(0, 0) an...

    Text Solution

    |

  2. The lines 2 x+11 y-5=0,4 x-3 y-2=0 and 24 x+7 y-20=0

    Text Solution

    |

  3. A st. line through the point (2, 2) intersects the lines sqrt(3)x+y=0 ...

    Text Solution

    |

  4. A triangle with vertices (4, 0), (-1, -1), (3, 5) is :

    Text Solution

    |

  5. If x(1), x(2), x(3) as well as y(1), y(2), y(3) are in G.P. with the s...

    Text Solution

    |

  6. A square of side 4 a lies above the x -axis and has one vertex at the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. The equation of the straight line passing through the point (4, 3) and...

    Text Solution

    |

  10. A(2,-3) and B(-2,1) are the vertices of a triangle A B C . If the cent...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If (a, a^(2)) falls inside the angle made by the lines y=(x)/(2), x g...

    Text Solution

    |

  15. Let PS be the median of the triangle with vertices P(2, 2), Q(6, -1) ...

    Text Solution

    |

  16. Area of the parallelogram formed by the lines y=mx, y=mx+1, y=nx and y...

    Text Solution

    |

  17. The number of integer values of m for which the x-co-ordinates of the ...

    Text Solution

    |

  18. The incentre of the triangle with vertices (1, sqrt(3)), (0, 0) and (2...

    Text Solution

    |

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

    Text Solution

    |

  20. Let P(-1, 0), Q(0, 0) and R(3, 3sqrt(3)) be three points. Then the equ...

    Text Solution

    |