Home
Class 12
MATHS
Let L(1) -= ax+by+a root3 (b) = 0 and L(...

Let `L_(1) -= ax+by+a root3 (b) = 0 and L_(2) -= bx - ay + b root3 (a) = 0 ` be two straight lines . The equatins of the bisectors of the angle formed by the foci whose equations are `lambda_(1)L_(1)-lambda_(2)L_(2)=0 and lambda _(1) l_(1) + lambda_(2) = 0 , lambda_(1) and lambda_(2)` being non - zero real numbers ,are given by

A

`L_(1)=0`

B

`L_(2)=0`

C

`lambda_(1)L_(1)+lambda_(2)L_(2)=0`

D

`lambda_(2)L_(1)-lambda_(1)L_(2)=0`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|12 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|28 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 tan 82(1)/(2^(@))=sqrt(lambda_(1))+sqrt(lambda_(2))+sqrt(lambda_(3))+2 then lambda_(1)+lambda_(2)+lambda_(3) is equal to

The number of real roots of the equation 4x^(3)-x^(2)+lambda^(2)x-mu=0 , mu in R, lambda > 1 is

The system of equations lambda x+(lambda+1)y+(lambda-1)z=0,(lambda+1)x+lambda y+(lambda+z)z=0,(lambda-1)x+(lambda+2)y+lambda z= bas a non-trivial solutions for

Let L_(1)=0and L_(2) =0 be two intarecting straight lines. Then the number of points, whose distacne from L_(1) is 2 units and from L_(2) 2 units is

Find the equation of a line passing through the point (2,0,1) and parallel to the line whose equation is vecr=(2lambda+3)hati+(7lambda-1)hatj+(-3lambda+2)hatk

If one of the lines represented by the equation lambda y^(2)+(1-lambda^(2))xy-lambdax^(2)=0 is bisector of the angle between the lines xy=0 , then, lambda=

If |a_(i)| lt 1, lambda_(i) ge 0 for i=1,2,……n and lambda_(1)+lambda_(2)+…….+lambda_(n)=1 , then the value of |lambda_(1)a_(1)+lambda_(2)a_(2)+…….+lambda_(n)a_(n)| is

The sum of distinct value of lambda for which the system of equations (lambda -1 )x + (3lambda + 1) y + 2 lambda x= 0 (lambda -1) x + (4lambda - 2) y + (lambda + 3) x= 0 2x + (2lambda + 1) y + 3(lambda - 1) z=0 has non - zeor solutions is ______.

If A satisfies the equation x^3-5x^2+4x+lambda=0 , then A^(-1) exists if lambda!=1 (b) lambda!=2 (c) lambda!=-1 (d) lambda!=0

Let a,b,c be the sides of a triangle. No two of them are equal and lambda in R If the roots of the equation x^2+2(a+b+c)x+3lambda(ab+bc+ca)=0 are real, then (a) lambda 5/3 (c) lambda in (1/5,5/3) (d) lambda in (4/3,5/3)