Home
Class 11
MATHS
Show that the tangent of an angle betwee...

Show that the tangent of an angle between the lines `(x)/(a) + (y)/( b) = 1 and (x)/( a) - (y)/( b) = 1` is `(2 ab)/( a^(2) - b^(2) )`.

Text Solution

Verified by Experts

The correct Answer is:
`theta = tan^(-1)""((2ab)/( a^(2) - b^(2) ))`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

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

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Objective type Questions)|20 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|34 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

Angle between the lines (x)/( a) + (y)/( b) and (x)/(a) - (y)/( b) = 1 is ….....

The angle between the lines (x+1)/(2) + (y+3)/(2) = (z-4)/(-1) and (x-4)/(1) = (y+4)/(2) = (z+1)/(2) is........

Find the angle between the lines (5-x)/(-2)=(y+3)/(1)=(1-z)/(3) and x/3=(1-y)/(-2)=(z+5)/(-1) .

The angle between the line (x-1)/(1) = (2-y)/(1) = (z+1)/(1) and the plane 2x-y + z = 4 is......

The angle between the lines (x-1)/(2) = (y+1)/(1) =(1-z)/2 and x = k + 1, y =2 k -1, z=2k +3, k in R is .....

Find the angle between the line (x+1)/(2)=y/3=(z-3)/(6) and the plane 10x + 2y – 11z = 3.

Find the angle between the line (x+1)/(2)=y/3=(z-3)/(6) and the plane 10x + 2y – 11z = 3.

Eccentricity of ellipse (x^(2))/(169) + (y^(2))/(25) = 1 and (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 then (a)/(b) = ……..

Find the area of the ellipse (x^2 )/(a^2) + (y^2)/(b^2)=1 (a gt b) .

Show that a point at which the line (x)/(a)+(y)/(b)=1 touches to the curve y=be^(-(x)/(a)) lies on Y-axis.