13) my calculations give the answer 1/2 ??
please tell me it is correct or not ..
1. let ABCD be unit sqaure. Four points E F G nd G are chosen on the sides AB BC CD nd DA respectively. the lenghts of the sides the quadrilateral EFGH are a,b,c,d. which of the following is true??
a. 1<=a2+b2+c2+d2<=2√2
b. 2√2 <=a2+b2+c2+d2<= 4√2
c. 2<=a2+b2+c2+d2<=4
d. √2 <=a2+b2+c2+d2<= 2+√2
2. if Z1 nd Z2 are two complex numbers with Z2 not equal to 0 and Z1 is not equal to Z2 and satisfing the condition MOD OF (Z1+Z2/Z1 -Z2)= 1. then Z1/Z2 is
a. real nd neagtive
b. real nd positive
c. purely imaginary
d. none of the above
3. the maximum of the areas of the isosceles traingle with base on the positive x-axis and which lie below the curve y= e-x is
a. 1/e
b. 1
c. 1/2
d. e
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7 Answers
1
111)
AE=x.
AH=y.
Dg=z
BF=k.
Now we firstly need to minimise \sum{\left\{y^2+(1-y)^2 \right\}}, which clearly occurs at y=x=z=\frac{1}{2}.
Thus option c).
