If `x^(2a)y^(3b)=e^(5m), x^(3c)y^(4d)=e^(2n), Delta_(1)=|(5m, 3b),(2n, 4d)|, Delta_(2)=|(2a, 5m),(3c, 2n)| and Delta_(3)=|(2a, 3b),(3c, 4d)|`, then the values of x and y are

If x^a y^b=e^m , x^c y^d=e^n ,Delta_1=|(m,b),(n,d)|,and Delta_2 =|(a,m),(c,n)| and Delta_3=|(a,b),(c,d)|, then the values of x and y are

If x^a y^b=e^m , x^c y^d=e^n ,Delta_1=|(m,b),(n,d)|,and Delta_2 =|(a,m),(c,n)| and Delta_3=|(a,b),(c,d)|, then the values of x and y are

If x^(a)y^(b)=e^(m),x^(c)y^(d)=e^(n),Delta_(1)=[(m,b),(n,d)]Delta_(2)=[(a,m),(c,n)], Delta_(3)=[(a,b),(c,d)] then the value of x and y are respectively.

Delta_(1) = |(y^(5)z^(6) (z^(3)-y^(3)),x^(4)z^(6)(x^(3)-z^(3)),x^(4)y^(5)(y^(3)-x^(3))),(y^(2)z^(3)(y^(6)-z^(6)),xz^(3)(z^(6)-x^(6)),xy^(2)(x^(6)-y^(6))),(y^(2)z^(3)(z^(3)-y^(3)),xz^(3)(x^(3)-z^(3)),xy^(2)(y^(3)-x^(3)))| and Delta_(2)=|(x,y^(2),z^(3)),(x^(4),y^(5),z^(6)),(x^(7), y^(8),z^(9))| Then Delta_(1) Delta_(2) is equal to a) Delta_(2)^(2) b) Delta_(2)^(3) c) Delta_(2)^(4) d)None of these

A=(1,2),B(3,4) and the locus of C is 2x+3y=5 then the locus of the centroid of Delta ABC is

The solution of the system of equations a_(1)x+b_(1)y+c_(1)z=d_(1),a_(2)x+b_(2)y+c_(2)z=d_(2) and a_(3)x+b_(3)y+c_(3)z=d_(3) using Crammer's rule is x=(Delta_(1))/(Delta),y=(Delta_(2))/(Delta) and z=(Delta_(3))/(Delta) where Delta!=0 The solution of 2x+y+z=1,x-2y-3z=1,3x+2y+4z=5 is

The solution of the system of equations a_(1)x+b_(1)y+c_(1)z=d_(1),a_(2)x+b_(2)y+c_(2)z=d_(2) and a_(3)x+b_(3)y+c_(3)z=d_(3) using Crammer's rule is x=(Delta_(1))/(Delta),y=(Delta_(2))/(Delta) and z=(Delta_(3))/(Delta) where Delta!=0 The solution of the system 2x+y+z=1 , x-2y-z=(3)/(2) , 3y-5z=9 is

If (a)/(b)=(c)/(d)=(e)/(f) and (2a^(4)b^(2)+3a^(2)c^(2)-5e^(4)f)/(2b^(6)+3b^(2)d^(2)-5f^(5))=((a)/(b))^(n) then find the value of n.

If ^(n+1)C_(3)=2.quad ^(n)C_(2) then =3 b.4c.6d.5