If \( x^{2}+m x+1=0 \) and \( (b-c) x^{2}+(c-a) x+(a-b)=0 \)
have roots common, then.... VIDEO
If \( x^{2}+m x+1=0 \) and \( (b-c) x^{2}+(c-a) x+(a-b)=0 \)
\( \mathrm{P} \)
have roots common, then
(1) \( m=-2 \)
(2) \( m=-1 \)
(3) \( a, b, c \) are in \( A P \)
(4) \( a, b, c \) are in HP
š²PW App Link - https://bit.ly/YTAI_PWAP
šPW Website - https://www.pw.live
Other Videos By PW Solutions 2024-01-23 Represent \( \frac{5+4 i}{4+5 i} \) in the standard form of \( a+i b \), then
the value of \( a+.... 2024-01-23 Let \( \alpha \) and \( \beta \) be the solutions of the quadratic equation
\( x^{2}-1154 x+1=0 .... 2024-01-23 If \( a x^{2}+b x+c=0 \) where \( a \neq 0 \) is satisfied by \( \alpha, \beta, \alpha^{2} \) an.... 2024-01-23 Given \( \alpha \) and \( \beta \) are the roots of the quadratic equation
\( x^{2}-4 x+k=0(k \n.... 2024-01-23 Let \( \alpha, \beta \) be two real numbers satisfying the following
relations \( \alpha^{2}+\be.... 2024-01-23 Let \( \alpha, \beta \) be two real numbers satisfying the following
relations \( \alpha^{2}+\be.... 2024-01-23 If every pair from among the equation \( x^{2}+p x+q r=0 \),
\( x^{2}+q x+r p=0 \) and \( x^{2}+.... 2024-01-23 If the equation \( a x^{2}+b x+c=0 \) and \( c x^{2}+b x+a=0, a \)
\( \neq c \) have a negative .... 2024-01-23 If \( \left(a x^{2}+c\right) y+\left(a^{\prime} x^{2}+c^{\prime}\right)=0 \) and \( x \) is a ra.... 2024-01-23 If both the roots of the equation \( x^{2}-(p-4) x+2 e^{2 \ln p}- \)
\( 4=0 \) are negative, the.... 2024-01-23 If \( x^{2}+m x+1=0 \) and \( (b-c) x^{2}+(c-a) x+(a-b)=0 \)
have roots common, then.... 2024-01-23 Let \( \alpha, \beta \) be the roots of \( a x^{2}+b x+c=0 \) and \( \gamma, \delta \) be the ro.... 2024-01-23 The equations \( a x^{2}+b x+a=0, x^{3}-2 x^{2}+2 x-1=0 \)
have two roots in common. Then, \( a+.... 2024-01-23 If \( p, q, r \) be in \( H P \) and \( p \) and \( r \) be different having same
sign, then the.... 2024-01-23 If \( \alpha_{1}, \alpha_{2} \) and \( \beta_{1}, \beta_{2} \) are respectively roots of the
equ.... 2024-01-23 Let \( \alpha, \beta \) be the roots of the equation \( (x-a)(x-b)=c \),
\( c \neq 0 \). Then, t.... 2024-01-23 If the roots of \( a x^{2}-b x-c=0 \) change by the same
quantity, then the expression in \( a, .... 2024-01-23 If all real values of \( x \) obtained from the equation \( 4^{x}-(a \)
-3) \( 2^{x}+a-4=0 \) ar.... 2024-01-23 Let \( a, b, c \) be three real numbers such that \( 2 a+3 b+6 c=0 \). Then, the quadratic equat.... 2024-01-23 If \( a, b, c \) are in HP, then the expression \( a(b-c) x^{2}+b \)
\( (c-a) x+c(a-b) \).... 2024-01-23 Let \( x_{1}, x_{2}, x_{3}, x_{4} \) be the roots (real or complex) of the equation \( x^{4}+a x....