Verified by Ajay Kumar
For what value of x is the statement \(\left(\frac{x}{16}\right)\left(\frac{x}{64}\right)=1\) true?
48
32
68
52
Answer: B
Solution: \(\frac{x}{16}\times\frac{x}{64}=1\Rightarrow\frac{x^2}{1024}=1\Rightarrow x^2=1024\Rightarrow x=\pm32\). Among the given options, the correct value is 32. Trick: Multiply the denominators and take the square root. The positive value is 32.
x के किस मान के लिए कथन \(\left(\frac{x}{16}\right)\left(\frac{x}{64}\right)=1\) सत्य है?
48
32
68
52
उत्तर: B
हल: \(\frac{x}{16}\times\frac{x}{64}=1\Rightarrow\frac{x^2}{1024}=1\Rightarrow x^2=1024\Rightarrow x=\pm32\)। दिए गए विकल्पों में सही मान 32 है। ट्रिक: हरों का गुणनफल निकालें और फिर वर्गमूल लें। धनात्मक मान 32 है।
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