Home
Class 11
MATHS
A straight line through the point (2, 2)...

A straight 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

x+y+4=0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas) (More than one correct answer Type Question)|1 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Linked comprehension Type Question)|1 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|102 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

The point of intersection of the lines x= 2 and y = 3 is

Consider a variable line L which passes through the point of intersection P of the line 3x+4y-12=0 and x+2y-5=0 meetingt the coordinate axes at point A and B. Locus of the centroid of the variable triangle OAB has the equation (where O is origin )

The equation of the line passing through the point of intersection of the lines 2x+y+1=0, x-y-7=0 and the point (3, -2) is

If a circle passes through the points of intersection of the axes with the lines ax-y+1=0 and x-2y+3=0 then a=

The equation of the line passing through the point of intersection of the lines 2x+3y-4=0, 3x-y+5=0 and the origin is

A straight line L through the point (3,-2) is inclined at an angle 60^@ " to the line " sqrt3x+y=1 . If L also intersects the x-axis, then the equation of L is

A variable straight line drawn through the point of intersection of the straight lines x/a+y/b=1 and x/b+y/a=1 meets the coordinates axes at A and B. Show that the locus of the mid point of bar(AB) is 2(a+b)xy=ab(x+y) .

The equation of the line passing through the point of intersection of the lines x-3y+2=0 and 2x+5y-7=0 and perpendicular to the line 3x+2y+5=0 is

AAKASH SERIES-STRAIGHT LINES-LECTURE SHEET (EXERCISE-I Problems on slopes, Equation of line intercepts of a lines, Areas)(Straight Objective Type Question)
  1. The ends of a rod of length l move on two mutually perpendicu...

    Text Solution

    |

  2. A line passing through (3,4) meets the axes bar(OX) and bar(OY) at A a...

    Text Solution

    |

  3. The locus of the midpoint of the portion between the axes of xcosalpha...

    Text Solution

    |

  4. A staight line through the point A(3,4) is such that its intercept bet...

    Text Solution

    |

  5. A line is drawn through the point (1,2) to meet the coordinate axes at...

    Text Solution

    |

  6. A variable line x//a+y//b = 1 moves in such a way that the harmonic me...

    Text Solution

    |

  7. Let O(0,0), P(3,4), Q(6,0) be the vertices of the triangle OPQ. The po...

    Text Solution

    |

  8. Two medians drawn from the acute acute angles of a right-angled triang...

    Text Solution

    |

  9. The equation of the diangonal OB of the rectangle given in the diagram...

    Text Solution

    |

  10. Let A be any point on the x-axis and B=(2,3). The perpendicular at A t...

    Text Solution

    |

  11. If the equation of the locus of a point equi-distant from the points (...

    Text Solution

    |

  12. The area bounded by the curve : max {absx,asbsy}=5 is

    Text Solution

    |

  13. The line x=c cuts the triangle with corners (0,0),(1,1) and (9,1) into...

    Text Solution

    |

  14. A system of lines is given as y=m1x+c1," where " m1 can take any val...

    Text Solution

    |

  15. The base of a triangle lies along the line x=a and is of length a. The...

    Text Solution

    |

  16. If x(1), x(2), x(3) as well as y(1), y(2), y(3) are in G.P with same c...

    Text Solution

    |

  17. A straight line through the point (2, 2) intersects the lines sqrt(3)x...

    Text Solution

    |

  18. AB is a variable lines sliding between the coordinate axes in such a w...

    Text Solution

    |

  19. A line has intercepls a and b on the coordinate axes. When the axes ar...

    Text Solution

    |

  20. If h denote the arithmetic mean, k denote G.M. of the intercepts made ...

    Text Solution

    |