Very-Short-Answer Questions: If the rational number a b has a terminating decimal expansion, what is the condition to be satisfied by b?

The condition for a b to be a terminating decimal is that b should be of form (2^m× 5^n) for some non-negative integers m and n .

Very-Short-Answer Questions: If the rational number a b has a ter…

Find the distance between the pair of points $(-5, 7), (-1, 3)$

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Find the $LCM$ and $HCF$ of $8, 9$ and $25$ integers by applying the prime factorisation method.

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Find the $10^{th}$ term of the AP $2, 7, 12,...$

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From a point $Q,$ the length of tangent to a circle is $24\ cm$ and the distance of $Q$ from the centre is $25\ cm$. The radius of the circle is

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Express the following integers as a product of its prime factors:
$7325$

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Classify the following number as rational or irrational:
$3.121221222...$

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Find the $11th$ term from the last term (towards the first term) of the AP $: 10, 7, 4, ..., -62.$

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Find the area of a sector of a circle with radius $6\ cm$, if the angle of the sector is $60^\circ$.

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Is the pair of linear equation consistent/inconsistent? If consistent, obtain the solution graphically: $2x – 2y – 2 = 0; 4x – 4y – 5 = 0$

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Use elimination method to find all possible solutions of the following pair of linear equations:
2x + 3y = 8 ...(1)
4x + 6y = 7 ...(2)

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