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PAIR OF LINEAR EQUATIONS IN TWO VARIABLES: Like the crest of a peacock so is mathematics at the head of all knowledge.
Example
At a certain time in a deer park, the number of heads and the number of legs of deer and human visitors were counted and it was found there were 39 heads & 132 legs. Find the number of deer and human visitors in the park.
(Ans:27,12)
Ans: Let the no. of deers be x
And no. of humans be y
ASQ :
x + y = 39 ---- (1)
4 x + 2 y = 132 ----- (2) Multiply (1) and (2)
On solving, we get ...
x = 27 and y= 12
∴ No. of deers = 27 and No. of humans = 12
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Example Find the Highest Common Factor of 54, 72 and 150. First we consider 54 and 72. The HCF for these two quantities is calculated as follows:
find the equation of locus of point which lies on bisectors of angles between the coordinate axes
78,990
sinx
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mulply # fraction
Example for Comparison Test for Improper Integrals Example: Find out if the following integral is convergent or divergent. ∫ ∞ 2 (cos 2 x) / x 2 (dx) Solution
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