Home
Class 11
MATHS
Line L has intercepts a and b on the coo...

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

A

`a^2+b^2=p^2+q^2`

B

`1/a^2+1/b^2=1/p^2+1/q^2`

C

`a^2+q^2=b^2+q^2`

D

`1/a^2+1/b^2=1/b^2+1/q^2`

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-II Problems on form, symmetric form, Perpendicular distance and Ratio)(More than correct answer Type Question)|8 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-II Problems on form, symmetric form, Perpendicular distance and Ratio)(Linked comprehension Type Question)|3 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-II Problems on form, symmetric form, Perpendicular distance and Ratio) ( Straight Objective Type Question)|1 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

A line L has intercepts a and b on the coordinate axes. When the axes are rotated through a given angle theta keeping the origin fixed, this line L has the intercepts p and q. Then

Line L has intercepts a and b on the axes of co ordinates. When the axes are rotated through a givenn angle, keeping the origin fixed, the straight line L has intercpets p and q on the transformed axes. Prove that 1/(a^(2))+1/(b^(2))=1/(p^(2))+1/(q^(2)) .

A line has intercepls a and b on the coordinate axes. When the axes are rotated an angle alpha Keeping the origin fixed. The line makes equal intercepts on the coordinate axes, then tan alpha =

The intercepts made by a line on the coordinate axes are in the ratio m: n. If it passes through the point (1,0), then the equation of the line is

When the axes are rotated through an angle 60^(0) the point P is changed as (3,4). Find original coordinates of P.

When the axes are rotated through an angle of 60^(0) the point P is changed as (3,4) . Find original coordinates of P .

AAKASH SERIES-STRAIGHT LINES-LECTURE SHEET(EXERCISE-II Problems on form, symmetric form, Perpendicular distance and Ratio)( Straight Objective Type Question)
  1. The equation to the base of an equilateral triangle is (sqrt3+1)x+(sqr...

    Text Solution

    |

  2. If the base of an isosceles triangle is of length 2P and the length of...

    Text Solution

    |

  3. Line L has intercepts a and b on the coordinate axes. When the axes ar...

    Text Solution

    |

  4. An equilateral triangle is constructed between two parallel line sqrt3...

    Text Solution

    |

  5. The line L given by x/5+y/b=1 passes through the point (13,32). The li...

    Text Solution

    |

  6. PQR is an equitateral triangle such that the vertices Q and R lie on t...

    Text Solution

    |

  7. P is a point on the line y=2x+1, and Q and R are tow points on the lin...

    Text Solution

    |

  8. If P(1+t//sqrt2,2+t//sqrt2) is any point on a line, then the range of ...

    Text Solution

    |

  9. The line x+2y=4 is transtated by 3units closer to the origin and then ...

    Text Solution

    |

  10. If the line 2x+y=k passes through the point which divides the line seg...

    Text Solution

    |

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

    Text Solution

    |

  12. The foot of the perpendicular on theline 3x+y=lambda drawn from the or...

    Text Solution

    |

  13. The range of alpha " for which the points " (alpha,alpha+2) and ((3a...

    Text Solution

    |

  14. P(m,n)(m,nin N) is any point in the inerior of the the quadrilateral f...

    Text Solution

    |

  15. If (sintheta,costheta,0 in[0,2theta] and (1,4) " lie on the same side ...

    Text Solution

    |

  16. The set of values of 'b' for which the origin and the point (1,1) lie ...

    Text Solution

    |

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

    Text Solution

    |

  18. If A(3,4) and B is a variable point on the lines |x|=6.If ABle4 then n...

    Text Solution

    |

  19. The equation of line midway between the lines 2x-y+3=0,y=2x-4 and para...

    Text Solution

    |

  20. A line L cuts the sides AB, BC of Delta ABC in the ratio 2:5, 7:4 res...

    Text Solution

    |