If `A , B ,C` are angles of a triangle, then the value of `|[e^(2i A),e^(-i C),e^(-i B)],[e^(-i C),e^(2i B),e^(-i A)],[e^(-i B),e^(-i A),e^(2i C)]|` is (a)`1` (b) `-1` (c) `-2` (d) `-4`

In triangle ABC, the value of |[e^(-i2A),e^(iC),e^(iB)],[e^(iC),e^(-i2B),e^(iA)],[e^(iB),e^(iA),e^(-i2C)]|

If alpha + beta + gamma = pi , then the value of the determinant |(e^(2i alpha),e^(-i gamma),e^(-i beta)),(e^(-i gamma),e^(2i beta),e^(-i alpha)),(e^(-i beta),e^(-i alpha),e^(2i gamma))| , is

If A B C and D E F are two triangles such that (A B)/(D E)=(B C)/(E F)=(C A)/(F D)=2/5 , then A r e a( A B C): A r e a( D E F)=

If A B C and D E F are two triangles such that (A B)/(D E)=(B C)/(E F)=(C A)/(F D)=3/4 , then write Area ( A B C): A r e a( D E F) .

If A B C and D E F are similar triangles such that 2\ A B=D E and B C=8c m , then E F=

Let A, B, C be angles of a triangle ABC and let D=(5pi+A)/(32), E=(5pi+B)/(32), F=(5pi+C)/(32) , then : (where D, E, F ne (n pi)/(2), n in I, I denote set of integers)

The domain of f(x)i s(0,1)dot Then the domain of (f(e^x)+f(1n|x|) is (a)(-1, e) (b). (1, e) (c).(-e ,-1) (d) (-e ,1)

The sum of series 1/2!+1/4!+16!+………. is (A) (e^2-1)/2 (B) (e^2-2)/e (C) (e^2-1)/(2e) (D) )(e-1)^2)/(2e)

From the following E^(o) value of helf cells: (i) A+e^(-)rarr A ^(-) , E^(o) = -0.824 V (ii) B^(-)+e^(-)rarr B ^(2-) , E^(o) = +1.25V (iii) C^(-)+2e^(-)rarr C ^(3-) , E^(o) = -1.25V (iv) D^(-)+2e^(-)rarr D ^(2-) , E^(o) = +0.68V What combination of two half cells would result is a cell with the largest cell potential?

Deduce from the following E^(c-) values of half cells, what combination of two half cells would results in a cell with the largest potential? {:(I. , A+e(-) rarr A^(c-),,,,E^(c-)=-0.24V),(II., B^(c-)+e^(-)rarr B^(2-),,,,E^(c-)=+1.25V),(III.,C^(c-)+2e^(-) rarr C^(3-),,,,E^(c-)=-1.25V),(IV. , D+2e^(c-)rarr D^(2-),,,, E^(c-)=+0.68V):} 1) II,IV 2) II,III 3) III,IV 4) I,II