Home
Class 12
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 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)+p^(2)=b^(2)+q^(2)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 1 : (Single Option Correct Type Questions)|1 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise The Straight Lines Exercise 2 : (More than One Correct Option Correct Type Questions)|1 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 6|12 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

If the coordinate axes are the bisectors of the angles between the pair of lines ax^(2)+2hxy+by^(2)=0 , then

Find the intercepts on the axes made by the straight lines : 2x-3y+6=0 .

If a line makes equal angles with coordinates axes its direction - cosines are.

A variable line makes intercepts on the coordinate axes the sum of whose squares is constant and is equal to a^2 . Find the locus of the foot of the perpendicular from the origin to this line.

A line has slope m and y-intercept 4. The distance between the origin and the line is equal to :

Find the equation of a line that cuts off equal intercepts on the co-ordinate axes and passes through the point (5, 6).

Find the equation of a line that cuts off equal intercepts on the coordinate axis and passes through the point (2, 3).

Find the equations of the straight lines which pass through the origin and trisect the portion of the st. line x/a+y/b=1 , which is intercepted between the axis.

Find the intercepts on the axes made by the straight lines : x cos alpha+y sin alpha=sin2 alpha .

ARIHANT MATHS-THE STRAIGHT LINES-Exercise (Single Option Correct Type Questions)
  1. A straight line passing through the point(2,2) and the axes enclose an...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If the distance of any point (x,y) from origin is defined as d(x,y)=ma...

    Text Solution

    |

  5. If p(1),p(2),p(3) be the length of perpendiculars from the points (...

    Text Solution

    |

  6. A B C D is a square whose vertices are A(0,0),B(2,0),C(2,2), and D(0,2...

    Text Solution

    |

  7. The point (4,1) undergoes the following three successive transformatio...

    Text Solution

    |

  8. f is a function defined by f(x) = |x - 1| + 3. Find f(-9).

    Text Solution

    |

  9. The line x+y=p meets the x- and y-axes at Aa n dB , respectively. A tr...

    Text Solution

    |

  10. If P(1,0) ,Q(-1,0) and R(2,0) are three given points ,then the locus o...

    Text Solution

    |

  11. If A((sin alpha)/3 - 1,(cos alpha)/2 - 1) and B(1,1) alpha in [ -pi,pi...

    Text Solution

    |

  12. The line x+y=1 meets X - axis at A and Y - axis at B,P is the mid poin...

    Text Solution

    |

  13. Solve the following system of inequalities graphically : 4x + 6y le 24...

    Text Solution

    |

  14. The straight lines x+ 2y -9 =0, 3x +5y - 5 = 0 and ax+by-1 = 0 are c...

    Text Solution

    |

  15. If the ends of the base of an isosceles triangle are at (2, 0) and (0,...

    Text Solution

    |

  16. Consider a point A(m,n) , where m and n are positve intergers. B is th...

    Text Solution

    |

  17. A straight line L with negative slope passes through the point (8,2) a...

    Text Solution

    |

  18. If a pair of perpendicular straight lines drawn through the origin f...

    Text Solution

    |

  19. The number of integral values of m for which the x-coordinate of the p...

    Text Solution

    |

  20. A ray of light passes through the point (1, 2) reflects on the x-axis ...

    Text Solution

    |