24I already have λ=±1,μ=±2
nm=±41
but cant finish it...plzz help
\begin{Bmatrix} x+y=2\lambda & \\ x+\lambd^2y=\mu & \end{Bmatrix} system has infinite solns and the position vectors of two points A and B are given as (1,λ,2μ),(1,μ,λ2) respectively.AB is line segment divided by XY plane in ratio m:n such that \frac{n}{m}\in Z where m and n ar related by quadratic eqn m^2x^2+an^2x+mn=0
Q1 If roots of quadratic eqn are real for all aεR,then find relative position of A and B on XY plane
Q2 For every possible value of λ,the roots of quad are real,then find range of values of a.
Q3 If roots of quad eqn are always real,find possible values of a such that both roots of quad eqn are positive
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5 Answers
62how can the point have 3 coordinates :O
I think there is something wrong.. the equation is in 2 variables.. but the options are 3!