4sqrt(4)x[[2],[3]]+y[[-1],[1]]=[[10],[5]](4)/(8)vec A

Find x and y, If [2,0,3]{3[[6,3],[-1,2],[5,4]]+2[[-4,-4],[1,0],[-3,4]]}=[x,y]

Solve: 2X+Y+[[-2,1,3],[5,-7,3],[4,5,4]]=0,X-Y=[[4,7,0],[-1,2,-6],[-2,8,-5]] .

If x=(1)/(7+4sqrt(3)), y=(1)/(7-4sqrt(3)) , find the value of 5x^(2)-7xy-5y^(2)

Given x, y in R , x^(2) + y^(2) gt 0 . Then the range of (x^(2) + y^(2))/(x^(2) + xy + 4y^(2)) is (a) ((10 - 4 sqrt(5))/(3),(10 + 4 sqrt(5))/(3)) (b) ((10 - 4 sqrt(5))/(15),(10 + 4 sqrt(5))/(15)) (c) ((5- 4 sqrt(5))/(15),(5 + 4 sqrt(5))/(15)) (d) ((20- 4 sqrt(5))/(15),(20 + 4 sqrt(5))/(15))

min[(x_(1)-x_(2))^(2)+(3+sqrt(1-x_(1)^(2))-sqrt(4x_(2)))],AA x_(1),x_(2)in R is (a)4sqrt(5)+1 (b) 3-2sqrt(2)(c)sqrt(5)+1(d)sqrt(5)-1

min[(x_1-x_2)^2+(3+sqrt(1-x_1^2)-sqrt(4x_2))^2],AAx_1,x_2 in R , is (a) 4sqrt(5)+1 (b) 3-2sqrt(2) (c) sqrt(5)+1 (d) sqrt(5)-1

min[(x_1-x_2)^2+(5+sqrt(1-x_1^2)-sqrt(4x_2))^2],AAx_1,x_2 in R , is (a) 4sqrt(5)-1 (b) 3-2sqrt(2) (c) sqrt(5)+1 (d) sqrt(5)-1

If sqrt(1-x^4)+sqrt(1-y^4)=k(x^2-y^2) ,show that y_1=(xsqrt(1-y^4))/(ysqrt(1-x^4))