If `[x+3z+4 2y-7-6a-1 0b-3-21 0]=[0 6 3y-2-6-3 2c+2 2b+4-21 0]` Find the values of a, b, c, x, y and z.

If [(x+3,z+4 ,2y-7 ),(4x+6,a-1, 0),(b-3 ,3b, z+2c)]=[(0, 6 ,3y-2 ),(2x,-3 ,2c+2),(2b+4,-21, 0)] Obtain the values of a ,\ b ,\ c ,\ x ,\ y\ a n d\ z .

If [[x+3,z+4,2y-7],[-6,a-1,0],[b-3,-21,0]]=[[0,6,3y-2],[-6,-3,2c+2],[2b+4,-21,0]]

If x = 6a + 8b + 9c, y = 2b - 3a - 6c and z = c - b + 3a, find : x + y + z

If x = 6a + 8b + 9c, y = 2b - 3a - 6c and z = c - b + 3a, find : x - y +z

If 7x + 6y - 2z = 0, 3x + 4y + 2z = 0, x - 2y - 6z = 0 then which option is correct

If x = 6a + 8b + 9c, y = 2b - 3a - 6c and z = c - b + 3a, find : 2x - y - 3z

If x = 6a + 8b + 9c, y = 2b - 3a - 6c and z = c - b + 3a, find : 3y - 2z - 5x

If x =a, y=b, z=c is a solution of the system of linear equations x + 8y + 7z =0, 9 x + 2y + 3z =0, x + y+z=0 such that point (a,b,c ) lies on the plane x + 2y + z=6, then 2a+ b+c equals

If a x1 2+b y1 2+c z1 2=a x1 2+b y2 2+c z2 2=a x3 2+b y3 2+c z3 2=d\ a n d\ a x_2x_3+b y_2y_3+c z_2z_3=a x_3x_1+b y_3y_1+c z_3z_1=a x_1x_2+b y_1y_2+c z_1z_2=f then prove that |x_1y_1z_1x_2y_2z_1x_3y_3z_3|=(d-f)[(d+2f)/(a b c)]^(//2)(a , b ,\ c!=0)

If the straight lines x+y-2-0,2x-y+1=0 and a x+b y-c=0 are concurrent, then the family of lines 2a x+3b y+c=0(a , b , c) are nonzero) is concurrent at (a) (2,3) (b) (1/2,1/3) (c) (-1/6,-5/9) (d) (2/3,-7/5)