Home
Class 11
MATHS
The diagonals of the parallelogram whose...

The diagonals of the parallelogram whose sides are `lx+my+n=0, lx+my+n_(1)=0, mx+ly+n=0, mx+ly=n_(1)=0` include an angle

A

`pi/3`

B

`pi/2`

C

`tan^(-1)((l^2-m^2)/(l^2+m^2))`

D

`tan^(-1)((2lm)/(l^2+m^2))`

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-IV Problems on Anle between lines, Foot, Image Orthocentre, Circumcentre, Incentre, Angle Bisectors and Locus )(More than one correct answer Type Question)|6 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-IV Problems on Anle between lines, Foot, Image Orthocentre, Circumcentre, Incentre, Angle Bisectors and Locus )(Matrix Matching Type Question)|3 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-III Problems on Point of intersection of line and concurrency of lines)(Integer Type Questions Type Question)|2 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

The circumcentre of the triangle formed by the lines x+y=0, x-y=0 and lx+my=1 is

Find the angle between the lines whose d.c's are related by l + m + n = 0 & l^(2) + m^(2) - n^(2) = 0

Knowledge Check

  • The diagonals of the parallelogram whose sides are lx+my+n=0, lx+my+n'=0, mx+ly+n=0, mx+ly+n'=0 include an angle

    A
    `(pi)/(3)`
    B
    `(pi)/(2)`
    C
    `tan^(-1)((l^(2)-m^(2))/(l^(2)+m^(2)))`
    D
    `tan^(-1)((2lm)/(l^(2)+m^(2)))`

  • The equation of the circle circumscribing the triangle formed by x=0, y=0 and mx+ly=lm is

    A
    `x^(2)+y^(2)-l^(2)+m^(2)`
    B
    `x^(3)+y^(2)+lx+my=0`
    C
    `x^(3)+y^(2)-lx-my=0`
    D
    `x^(2)+y^(2)-lx-my+lm=0`

    • Similar Questions

    Explore conceptually related problems

    Find the angle between the lines whose d.c's are related l +m+n=0 &l^(2)+m^(2)-n^(2)=0

    The condition for the lines lx + my + n = 0 and l_(1) x + m_(1)y + n_(1) = 0 to be conjugate with respect to the circle x^(2) + y^(2) = r^(2) , is

    Show that the area of the triangle formed by the lines ax^(2) + 2bxy + by^(2) = 0 and lx + my + n = 0 is | (n^2 sqrt( h^2 - ab) )/( am^2 - 2hlm+ bl^2)|

    Form quadratic equation whose roots are : (m)/(n), (n)/(m) (m ne 0, n ne 0)

    Show that the area of the parallelogram formed by the lines y=mx,y=mx+1,y=nx,y=nx+1 equals 1/(|m-n|) sq. units.

    Find the angle between the lines whose d.c 's are ralated by l+m+n=0" & "l^(2)+m^(2)-n^(2)=0

    Home
    Profile