can you please tell the approach of doing the following question(they are very similar questions)

ABCD is a square of side 1 unit. Another square BDEF is drawn. Similarly two more squares namely BEGH and EHIJ are drawn.

1. Find the minimum possible ratio of the area of the triangle AIJ to the area of the square EHIJ.
Options-
A)3:8
B)1:4
C)5:16
D)1:2
E)None of these

2. Find the maximum possible area of the triangle AIJ in square units.
A)6
B)7
C)8
D)5
E)3

pls solve this question also--

can you please tell the approach of doing the following question(they are very similar questions)

ABCD is a square of side 1 unit. Another square BDEF is drawn. Similarly two more squares namely BEGH and EHIJ are drawn.

1. Find the minimum possible ratio of the area of the triangle AIJ to the area of the square EHIJ.
Options-
A)3:8
B)1:4
C)5:16
D)1:2
E)None of these

2. Find the maximum possible area of the triangle AIJ in square units.
A)6
B)7
C)8
D)5
E)3

3.

2 good questions

find the maximum value of the function 1 / (x^2-3x +2)

find the minimum value of the function f(x) = log2 (x^2 -2x +5)

p.s - 2 is the base of log and not log 2.

for the first part
as the expression in denominator needs to minimum for the functions maximum value ... so at x = -b/2a the min value of x^2-3x+2 will exist, that will be x=3/2
==> on subsituting we shall get f(3/2) = -4

Horizontal Distance covered by ant = 2*2(pi)*r = 2*2*(pi)*6/(pi) = 24
Vertical Distance covered by the ant = 20

Hence, total distance = _/(20^2 + 24^2) = 24_/2
___________________________________________________________________

the options are
1. 2_/61
2. 4_/61
3. 24
4. 52
5. 60

and the answer given is 2nd option...are u sure that your solution is correct ?

Pls solve this question--
An ant starts from a point on the bottom edge of a right circular cylinder and moves in spiral manner along the curved surface area such that it reaches the top of cylinder at a point directly above the starting point in exactly 2 identical spirals. Find the distance covered by the ant if the radius of the cylinder is 6/pie
and height is 20 units ....

Hi...
i am Sahil , a mechanical engg student from dce currently in 4 th year .. would be giving the cat exams this year