Let and be distinct non-negative numbers and the vectors ,

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Let

a, b

and

c

be distinct non-negative numbers and the vectors

a\mathbf{i} + a\mathbf{j} + c\mathbf{k}

\mathbf{i} + \mathbf{k}

c\mathbf{i} + c\mathbf{j} + b\mathbf{k}

lie in a plane, then the quadratic equation

ax^2 + 2cx + b = 0

has (1) real and equal roots (2) real and unequal roots (3) unreal roots (4) both roots real and positive