Let \( a, b, c \) be the sides of a triangle where \( a \neq b \neq c \) and \( \lambda \in R \)...

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=BMQFUvULXl0



Duration: 7:03
0 views
0


Let \( a, b, c \) be the sides of a triangle where \( a \neq b \neq c \) and \( \lambda \in R \). If the roots of the equation \( x^{2}+2(a+b+c) x \) \( +3 \lambda(a b+b c+c a)=0 \) are real, then
(a) \( \lambda\frac{4}{3} \)
(b) \( \lambda\frac{5}{3} \)
(c) \( \lambda \in\left(\frac{1}{3}, \frac{5}{3}\right) \)
(d) \( \lambda \in\left(\frac{4}{3}, \frac{5}{3}\right) \)
šŸ“²PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-07-03If \( r, s, t \) and \( u \) are roots of \( x^{4}-5 x+3=0 \), then for the equation whose roots...
2023-07-03Let \( S \) be the set of all non-zero real numbers \( \alpha \) such that the quadratic equatio...
2023-07-03The set of values of \( K(K \in R) \) for which the equation \( x^{2}-4 \) \( |x|+3-\left|K^{2}-...
2023-07-03Let \( \alpha \) and \( \beta \) be the roots of \( x^{2}-6 x-2=0 \), with \( \alpha\beta \). If...
2023-07-03\[ A=\left\{x: \frac{x+2}{x-4} \leq 0\right\}, B=\left\{x / x^{2}-a x-4 \leq 0\right\} \] If \( ...
2023-07-03The number of real roots of equation \( x^{8}-x^{5}+x^{2}-x+2= \) 0 is (a) 2 (b) 4 (c) 6 (d) 0
2023-07-03A value of \( b \) for which the equations \[ \begin{array}{l} x^{2}+b x-1=0 \\ x^{2}+x+b=0 \end...
2023-07-03Let \( p \) and \( q \) be real numbers such that \( p=0, p^{3}=q \) and \( p^{3} \) \( =-q \). ...
2023-07-03Let \( \left(x_{0}, y_{0}\right) \) be the solution of the following equations \( (2 x)^{\ln 2}=...
2023-07-03Let \( \alpha, \beta \) be the roots of the equation \( x^{2}-p x+r=0 \) and \( \frac{\alpha}{2}...
2023-07-03Let \( a, b, c \) be the sides of a triangle where \( a \neq b \neq c \) and \( \lambda \in R \)...
2023-07-03Let \( f(x) \) be the remainder when \( p(x)=x^{73}-2 x^{6}+3 x^{3} \) is divided by \( x^{4}\le...
2023-07-03\( \log _{0.3}(x-1)\log _{0.09}(x-1) \), then \( x \) lies in the interval- (a) \( (2, \infty) \...
2023-07-03If \( a^{2}+b^{2}+c^{2}=1 \), then \( a b+b c+c a \) lies in the interval (a) \( \left[\frac{1}{...
2023-07-03Find all the values of \( a \) , so that exactly one root of the equation \( x^{2}-2 a x+a^{2}-...
2023-07-03When \( y^{2}+m y+2 \) is divided by \( (y-1) \) then the quotient is \( f(y) \) and the remaind...
2023-07-03The value of \( k \) for which \( k x^{2}-2 k x+3 x-6 \) is positive for exactly two integral va...
2023-07-03The equation \( x-\frac{2}{x-1}=1-\frac{2}{x-1} \) has (a) no root (b) one root (c) two equal ro...
2023-07-03Let the quadratic equation \( x^{2}+3 x-k=0 \) has roots \( a, b \) and \( x^{2}+3 x-10=0 \) has...
2023-07-03Let \( P(x) \) be a polynomial whose coefficient are integer satisfies \( P(1)=5 \) and \( P(2)=...
2023-07-03Given that \( \alpha, \beta, \gamma \) are the roots of cubic equation \( x^{3}=3 x^{2}+2 x+\fra...