A rectangle `A B C D ,` where `A-=(0,0),B-=(4,0),C-=(4,2)D-=(0,2)` , undergoes the following transformations successively: `f_1(x ,y)vec(y ,x)` `f_2(x , y)vec(x+3y ,y)` `f_3(x , y)vec((x-y)//2),(x+y)//2)` The final figure will be square (b) a rhombus a rectangle (d) a parallelogram

A rectangle A B C D , where A-=(0,0),B-=(4,0),C-=(4,2)D-=(0,2) , undergoes the following transformations successively: f_1(x ,y)to(y ,x) f_2(x , y)to(x+3y ,y) f_3(x , y)to((x-y)/2),(x+y)/2) The final figure will be (a) square (b) a rhombus (c) a rectangle (d) a parallelogram

A rectangle ABCD, where A-=(0,0),B-=(4,0),C-=(4,2)D-=(0,2) undergoes the following transformations successively: f_(1)(x,y)rarr(y,x)f_(2)(x,y)rarr(x+3y,y)f_(3)(x,y)rarr((x-y)/2),(x+y)/2) The final f_(3)(x,y)rarr((x-y)/2),(x+y)/2 ) The final figure will be square (b) a rhombus a rectangle (d) a parallelogram

If the square ABCD, where A(0,0),B(2,0)C(2,2) and D(0,2) undergoes the following three transformations successively (i) f_(1)(x,y) to (y,x) (ii) f_(2)(x,y) to (x+3y,y) (iii) f_(3) (x,y) to ((x-y)/2,(x+y)/2) then the final figure is a

If the square ABCD, where A(0,0),B(2,0)C(2,2) and D(0,2) undergoes the following three transformations successively (i) f_(1)(x,y) to (y,x) (ii) f_(2)(x,y) to (x+3y,y) (iii) f_(3) (x,y) to ((x-y)/2,(x+y)/2) then the final figure is a

If the square ABCD where A(0,0), B(2,0), C(2,2), D(0,2) undergoes the following the transformations successively (i) f_(1)(x,y) to f(y,x) (ii) f_(2) (x,y) to f(x + 3y, y) (iii) f_(3) (x,y) to f((x-y)/(2),(x + y)/(2)) then find nature of the final figure of ABCD

If f (x,y) =e ^(2x+3y) find 3f_(x) (0,0) - 2f_(y) (0,0):

The figure formed by the lines a x+-y+-c=0 is a. a rectangle b. a square c. a rhombus d. none of these

The figure formed by the lines a x+-y+-c=0 is a. a rectangle b. a square c. a rhombus d. none of these

Which of the following is a homogeneous differential equation? (4 x+6 y+5) d y-(3 y+2 x+4) d x=0 x y d x-(x^3+y^3) d y=0 (x^3+2 y^2) d x+2 x y d y=0 y^2 d x+(x^2-x y-y^2) d y=0