Let be a real number

MATHEMATICS · Single correct · CBSE · Mathematics · Quadratic Equations · Quadratic Equations

Problem

Let kk be a real number. The function f(x)=x+1x2−4kx+k2f(x)=\dfrac{x+1}{x^{2}-4kx+k^{2}} is undefined at exactly one real value of xx. Which of the following is the corresponding value of kk? (a) k=1k=1 (b) k=−2+3k=-2+\sqrt{3} (c) k=0k=0 (d) k=2k=2

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