Q. Plot three points A(.1.6),B(-1,0) and C(7, 0) on the graph paper. Now, plot point D so that ABCD is a rectangle. Draw its diagonals. Write the co-ordinates of point of intersection of diagonals.
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Therefore, b² is divisible by 3. So, b is also divisible by 3. (3)
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Therefore, (2) and (3) a and b are divisible by 3. So, they have common factor 3. But this contradict our assumption. Our assumption is that a and b are co - prime.
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Therefore, our assumption is wrong!
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So, √3 is a irrational number.
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Plot three points A(1,6),B(1,0) and C(7,0) on the graph paper. Now, plot point D so that ABCD is a rectangle. Draw its diagonals. Write the coordinates of point of intersection of diagon
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