Home
Class 12
MATHS
A line has intercepts a and b on the coo...

A line has intercepts a and b on the coortdinate axes. When the axes are rotateed through an angle `alpha`, keeping the origin fixed, the line makes equal intercepts on the coordinate axes, then `tanalpha` =

A

`(a+b)/(a-b)`

B

`(a-b)/(a+b)`

C

`a^(2)-b^(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|25 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (CONCEPT - BASED) SINGLE CORRECT ANSWER TYPE QUESTIONS|15 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 1) SINGLE CORRECT ANSWER TYPE QUESTIONS|65 Videos
  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

Similar Questions

Explore conceptually related problems

A line has intercepts a and b on the coortdinate axes.When the axes are rotateed through an angle alpha, keeping the origin fixed, the line makes equal intercepts on the coordinate axes,then tan alpha=

Line L has intercepts a and b on the coordinate axes. When, the axes area rotated through a given angle, keeping the origin fixed, the same line L has intercepts p and q , then

The line L has intercepts a and b on the coordinate axes. The coordinate axes are rotated through a fixed angle, keeping the origin fixed. If p and q are the intercepts of the line L on the new axes, then (1)/(a^(2))-(1)/(p^(2))+(1)/(b^(2))-(1)/(q^(2)) is equal to

Find the equation of a line making intercept 4 and 5 on the coordinate axes .

Thu Line L has intercept a and b on the co- ordinate axes.When keeping the origin fixed, the coordinate axis are rotated around a fixed angle,then the line has intercepts p and q on rotate axis,then

The point on the curve y^(2) = 4ax at which the normal makes equal intercepts on the coordinate axes is

Form the differential equation of the family of lines making equal intercepts on the co-ordinate axes.

Find the differential equation of family of lines making equal intercept on coordinate axes.

MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -SOLVED EXAMPLES (LEVEL 2) SINGLE CORRECT ANSWER TYPE QUESTIONS
  1. The are enclosed by 2|x|+3|y| le 6 is

    Text Solution

    |

  2. Let O be the origin, and let A (1, 0), B (0, 1) be two points. If P (x...

    Text Solution

    |

  3. A line has intercepts a and b on the coortdinate axes. When the axes a...

    Text Solution

    |

  4. Statement 1 : The equation of the sides of a triangle are x - 3y = 0, ...

    Text Solution

    |

  5. The equation of the line through (1,2), which makes equal intercepts o...

    Text Solution

    |

  6. The point (4,1) undergoes the following two successive transformations...

    Text Solution

    |

  7. Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0 . If ...

    Text Solution

    |

  8. The line joining two points A(2,0) and B(3,1) is rotated about A in an...

    Text Solution

    |

  9. The medians AD and BE of the triangle with vertices A(0, b), B(0, 0) a...

    Text Solution

    |

  10. A(1),A(2)…A(n) are points on the line y = x lying in the positive quad...

    Text Solution

    |

  11. If x(1), x(2), x(3) are the abcissa of the points A(1), A(2), A(3) res...

    Text Solution

    |

  12. If the lines x=k, k=1,2:…., n meet the line y=3x+4 at the points A(k)(...

    Text Solution

    |

  13. If y=ax is one of the lines belonging to the family of lines represent...

    Text Solution

    |

  14. The sum of the intercepts cut off by the axes on lines x+y =a, x+ y =a...

    Text Solution

    |

  15. The distance between the parallel lines given by (x+7y)^2+4sqrt(2)(x+7...

    Text Solution

    |

  16. If the lines joining the origin to the intersection of the line y=nx+...

    Text Solution

    |

  17. If one of the lines given by the equation 2z^(2)+axy+3y^(2)=0 coincide...

    Text Solution

    |

  18. If the equation ax^3 + 3bx^2y + 3cxy^2 + dy^3 = 0 represents three coi...

    Text Solution

    |

  19. Two of the lines represented by x^(3)-6x^(2)y+3xy^(2)+dy^(3)=0 are per...

    Text Solution

    |

  20. The line x+y=1 meets the lines represented by the equation y^3-xy^2-14...

    Text Solution

    |