jee-advanced 2003 Q6

jee-advanced · India · screening Matrices Matrix Power Computation and Application

6. If
$$A = \left[ \begin{array} { l l } \alpha & 0 \\ 1 & 1 \end{array} \right] \text { and } B = \left[ \begin{array} { l l } 1 & 0 \\ 5 & 1 \end{array} \right] ,$$
then value of $a$ for which $A ^ { 2 } = B$, is:
(a) 1
(b) - 1
(c) 4
(d) no real values

The slopes of the focal chords of the parabola $y ^ { 2 } = 16 x$ which are tangents to the circle $( x - 6 ) ^ { 2 } + y ^ { 2 } = 2$ are

6. If

$$A = \left[ \begin{array} { l l } 
\alpha & 0 \\
1 & 1
\end{array} \right] \text { and } B = \left[ \begin{array} { l l } 
1 & 0 \\
5 & 1
\end{array} \right] ,$$

then value of $a$ for which $A ^ { 2 } = B$, is:\\
(a) 1\\
(b) - 1\\
(c) 4\\
(d) no real values\\

Paper Questions

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