Home
Class 11
MATHS
The tangent of angle between the lines w...

The tangent of angle between the lines whose intercepts on the axes are `a, -b and b, -a`, respectively, is

A

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

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Fillers)|15 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Matching The Columns)|3 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Long Answer Type Questions)|9 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|15 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the lines whose direction ratios are a, b, c and b-C, c-a, a-b.

If p is the length of perpendicular from the origin to the line whose intercepts on the axes are a and b , then show that (1)/( p^2) = (1)/( a^2) + (1)/( b^2) .

The angle between the lines whose direction cosines are l, m, n and m-n, n-l, l-m is......

Find the equations of the lines, which cut-off intercepts on the axes whose sum and product are 1 and - 6 , respectively.

Find equation of line whose sum and product of intercepts on axis are 1 and -6 respectively.

Find equation of line whose sum and product of intercepts on axis are 7 and 12 respectively.

Find the equation of the line, which makes intercepts -3 and 2 on the x- and y- axes respectively.

Find the angle between the lines whose joint equation is 2x^2-3xy+y^2=0

Find the equation of the line, which makes intercepts -3 " and " 2 on the x - and y- axes respectvely.

Angle between vec(a) and vec(b) is 60^(@) then

KUMAR PRAKASHAN-STRAIGHT LINES-Solutions of NCERT Exemplar Problems (Objective type Questions)
  1. A line cutting off intercept -3 from the Y-axis and the tangent at ang...

    Text Solution

    |

  2. Slope of a line which cuts off intercepts of equal lengths on the axes...

    Text Solution

    |

  3. The equation of the straight line passing through the point (3,2) and ...

    Text Solution

    |

  4. The equation of the line passing through the point (1, 2) and perpendi...

    Text Solution

    |

  5. The tangent of angle between the lines whose intercepts on the axes ar...

    Text Solution

    |

  6. If the line(x)/( a) + (y)/( b) = passes through the points (2, -3) an...

    Text Solution

    |

  7. The distance of the point of intersection of the lines 2 x- 3y + 5 = ...

    Text Solution

    |

  8. The equations of the lines which pass through the point (3, -2) and a...

    Text Solution

    |

  9. The equations of the lines passing through the point (1,0) and at a di...

    Text Solution

    |

  10. The distance between the lines y=mx + c(1) and y= mx+ c(2) is

    Text Solution

    |

  11. The coordinates of the foot of perpendiculars from the point (2,3) on ...

    Text Solution

    |

  12. If the coordinates of the middle point of the portion of a line interc...

    Text Solution

    |

  13. Equation of the line passing through (1, 2) and parallel to the line y...

    Text Solution

    |

  14. Equations of diagonals of the square formed by the lines x=0, y=0, x=1...

    Text Solution

    |

  15. For specifying a straight line, how many geometrical parameters should...

    Text Solution

    |

  16. The point (4, 1) undergoes the following two successive transformation...

    Text Solution

    |

  17. A point equidistant from the lines 4x + 3y + 10 = 0, 5 x - 12y + 26 =0...

    Text Solution

    |

  18. A line passes through (2,2) and is perpendicular to the line 3x + y=3....

    Text Solution

    |

  19. The ratio in which the line 3x+ 4y + 2 =0 divides the distance between...

    Text Solution

    |

  20. One vertex of the equilateral triangle with centroid at the origin and...

    Text Solution

    |