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CAT 2004 | Question: 70

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Let $u=( \log_2 x)^2 – 6 \log_2 x + 12$ where $x$ is a real number. Then the equation $x^u =256$, has

  1. no solution for $x$
  2. exactly one solution for $x$
  3. exactly two distinct solutions for $x$
  4. exactly three distinct solutions for $x$
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CAT 2004 | Question: 73
A circle with radius $2$ is placed against a right angle. Another small circle is also placed as shown in the adjoining figure. What is the radius of the smaller circle? $3-2 \sqrt{2}$ $4-2 \sqrt{2}$ $7-4 \sqrt{2}$ $6-4 \sqrt{2}$
A circle with radius $2$ is placed against a right angle. Another small circle is also placed as shown in the adjoining figure. What is the radius of the smaller circle?$...
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