D=3 Let e1 =

1
0

and e2 =

0
1

and let T : R2 ! R2 be a linear transformation that
maps e1 into z1 and maps e2 into z2 where z1 =

6
(d + 5)

, and z2 =

(d + 3)
(d + 4)

.
Find image of the vector

4
(d + 7)

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)

52-x2 fgdhbjagraubgfdshhghdg

the answer is 6

hope this !