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Find the area of the shaded region of square, In the adjoining figure, ABCD...

In the adjoining figure, ABCD is a square of side 6cm.  Find the area of the shaded region. Ans:    From P draw PQ ⊥ AB AQ = QB = 3cm (Ans: 34.428 sq cm) Join PB

Calculate the slope of the line, Calculate the slope of the line: Exa...

Calculate the slope of the line: Example: calculate  the  slope  of  the  line  whose  equation  is  y  =  2x  +  3  and  whose y-intercept is (0,3). Solution:    y =

Permatuation and combination problem, A,B,C are natural numbers and are in ...

A,B,C are natural numbers and are in arithmetic progressions and a+b+c=21.then find the possible values for a,b,c Solution) a+b+c=21 a+c=2b 3b=21 b=7 a can be 1,2,3,4,5,6 c c

Use mathematical induction and prove equation, 1. Use mathematical inductio...

1. Use mathematical induction to prove whenever n is a positive integer. 2. Use loop invariant to prove that the program for computing the sum of 1,...,n is correct.

Pigeonhole principle, By pigeonhole principle, show that if any five number...

By pigeonhole principle, show that if any five numbers from 1 to 8 are chosen, then two of them will add upto 9.    Answer: Let make four groups of two numbers from 1 to 8 like

Determines the first four derivatives of y = cos x, Example    determines t...

Example    determines the first four derivatives for following.                                                                  y = cos x Solution: Again, let's just do so

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