Home
Class 12
MATHS
Let a,b,c be the sides of a triangle. No...

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 < 4/3` (b) `lambda > 5/3` (c) `lambda in (1/5,5/3)` (d) `lambda in (4/3,5/3)`

Promotional Banner

Topper's Solved these Questions

  • JEE (ADVANCED ) 2020

    JEE ADVANCED PREVIOUS YEAR|Exercise SECTION 2|6 Videos

  • JEE (ADVANCED ) 2020

    JEE ADVANCED PREVIOUS YEAR|Exercise SECTION 3|6 Videos

  • JEE (ADVANCED) 2020

    JEE ADVANCED PREVIOUS YEAR|Exercise SECTION-3|6 Videos

Similar Questions

Explore conceptually related problems

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

Let a,b,c be the sides of a triangle,where a!=b!=c and lambda in R. If the roots of the equation x^(2)+2(a+b+c)x+3 lambda(ab+bc+ca)=0 are real.Then a.lambda (5)/(3) c.lambda in((1)/(3),(5)/(3)) d.lambda in((4)/(3),(5)/(3))

If a,b,c, are the sides of a triangle ABC such that x^(2)-2(a+b+c)x+3 lambda(ab+bc+ca)=0 has real roots,then (a)lambda (5)/(3)(c)lambda in((4)/(3),(5)/(3)) (d) lambda in((1)/(3),(5)/(3))

For all lambda in R , The equation ax^2+ (b - lambda)x + (a-b-lambda)= 0, a != 0 has real roots. Then

Roots of the equation (x^(2)-4x+3)+lambda(x^(2)-6x+8)=0lambda in R will be

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

If a,b,c are the sides of a triangle ABC such that x^(2)-2(a+b+c)x+3 lambda(ab+bc+ca)=0 has real roots.then

If the roots of the given equation 2x^(2)+3(lambda-2)x+lambda+4=0 be equal in a magnitude but opposite in sign then lambda

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