Home
Class 12
MATHS
If the point (a, a) falls between the li...

If the point (a, a) falls between the lines `|x+y|=2`, then :

A

`|a|=2`

B

`|a|=1`

C

`|a|lt1`

D

`|a|lt(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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

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

The co-ordinates of a point on the line x+y=3 such that the point is at equal distances from the lines |x|=|y| are :

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

The angle between the lines x^(2) + 4xy + y^(2) = 0 is

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 :

The angle between the lines 2 x-y+3=0 and x+2 y+3=0 is

Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) along the line 2x - y = 0 .

The distance of the line 2 x-3 y=4 from the point (1,1) measured parallel to the line x+y=1 is

The equation of the line perpendicular to 5 x-2 y=7 and passing through the point of intersection of the lines 2 x+3 y=1 and 3 x+4 y=6 is

The reflection of the point (2,-5) along the line x+y=0 is

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. A line passes through (2,2) and is perpendicular to the line 3x+y=3 ...

    Text Solution

    |

  2. The range of values of theta in the interval (0, pi) such that the poi...

    Text Solution

    |

  3. If the point (a, a) falls between the lines |x+y|=2, then :

    Text Solution

    |

  4. If the point P(a, b) lies on the line 3 x+2 y=13 and the point Q(b, a)...

    Text Solution

    |

  5. The bisector of the acute angle formed between the linex 4 x-3 y+7=0 a...

    Text Solution

    |

  6. Circumcentre of the triangle formed by the lines xy+2x+2y+4=0 and x+...

    Text Solution

    |

  7. Point underline(Q) is symmetric to P(4,-1) with respect to the bisecto...

    Text Solution

    |

  8. The coordinate axes are rotated about the origin O in the counter cloc...

    Text Solution

    |

  9. The area of the quadrilateral formed by two pairs of lines l^(2) x^(2)...

    Text Solution

    |

  10. The transformed equation of x^(2)+6 x y+8 y^(2)=10 when the axes are r...

    Text Solution

    |

  11. The value of k for which the lines 2 x-3 y+k=0,3 x-4 y-13=0,8 x-11 y-3...

    Text Solution

    |

  12. The transformed equation of 3 x^(2)+3 y^(2)+2 x y-2=0 when the coordin...

    Text Solution

    |

  13. The distance of the line 2 x-3 y=4 from the point (1,1) measured paral...

    Text Solution

    |

  14. The base vertices of an isosceles triangle P Q R are Q=(1,3) and R=(-2...

    Text Solution

    |

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

    Text Solution

    |

  16. The equation of the bisectors of the angles between the linex |x|=|y| ...

    Text Solution

    |

  17. Orthocentre of the triangle formed by the lines x+y=1 and x y=0 is

    Text Solution

    |

  18. If the points A(1,1), B(-1,-1), C=(-sqrt(3), sqrt(3)) are the vertices...

    Text Solution

    |

  19. The straight lines x+y=0, 3x+y-4=0 and x+3y-4=0 form a triangle, which...

    Text Solution

    |

  20. The lines a x+b y=c, b x+c y=a and c x+a y=b are concurrent, if

    Text Solution

    |