This set is mixed one:(it is always good to approach formal way rather than to put some shortcut formulas....But why not give a try if it can save some time )
1. Area of a circle circumscribing equilateral triangle = \(\frac{pi}{3}a^2\)
2. Area of a circle inscribed in a equilateral triangle= \(\frac{pi}{12}a^2\)
3. Triangle formed by joining the mid points of a equilateral triangle will be half of perimeter and \(\frac{1}{4}area\).
4.For a infinite GP series sum = \(\frac{a1}{(1-r)}\) where a1 is the first term and r is multiplication factor
5. When Difference between compound interest and simple interest on a certain sum of money for 2 years at r% is
= \(\frac{(DIffX 100X100)}{(RateXRate)}\)
6. WHEN diff between CI and SI for 3 years at r% is given , then sum = \(\frac{Diff X100X100X100}{{(r^2)X(300+r)}}\)
7. If sum A becomes sum B in t1 years at compound rate of interest , then after t2 years the sum becomes
I am having a headache writing it properly - it is \({B^(t2/t1)} / { A^{(t2/t1)-1}}\)
8. Certain distance covered in xkm/hr and same distance y km/hr then avg speed = \(\frac{2xy}{x+y}\)
9. If two persons A and B start at the same time in opposite directions from two points and after passing each other they complete the journey
in a hrs and b hrs respectively . then A's speed : B's Speed = \(\sqrt{b} : \sqrt{a}\)
10.A man takes x hours to walk a certain place and ride back. However if he walks both ways he needs t hours more . Thus time taken
by him to ride both ways = \((x-t)\) hours.
I will post other tips if u like my post...(I mean If get few few kudos)...
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If u can't jump the 700 wall , drill a big hole and cross it .. I can and I WILL DO IT ...need some encouragement and inspirations from U ALL