Statement I: `sec^2theta=(4x y)/((x+y)^2)` is positive for all real values of `x\ a n d\ y` only when `x=y` because Statement II: `t^2geq0AAt in R\ ` a.`A` b. `\ B` c.`\ C` d. `D`

Prove that sin^2theta=(x+y)^2/(4xy) is possible for real values of x and y only when x = y , y!=0 and x!=0 .

Find the real values of x\ a n d\ y ,\ if:(x+i y)(2-3i)=4+i

Find the real values of x\ a n d\ y ,\ if:(1+i)(x+i y)=2-5i

If s e c^2theta=(4x y)/((x+y)^2) is true if and only if (a) x+y!=0 (b) x=y , x!=0 (c) x=y (d) x!=0,y!=0

sin^2 theta= (4xy)/(x+y)^2 is true if and only if (A) x-y!=0 (B) x=-y (C) x+y!=0 (D) x!=0,y!=0

Statement I: t a n5theta-t a n3theta-t a n2theta=t a n5thetat a n3thetat a n2theta Statement II: x=y+z=>t a n x-t a n y-t a n z=t a n x t a n y t a n zdot a. A b. \ B c. \ C d. D

If x+i y=sqrt((a+i b)/(c+i d)), then write the value of (x^2+y^2)^2 .

Statement I: If a ,\ \ b , c in R\ a n d a!=b!=c\ a n d\ x ,\ y ,\ z are non zero. Then the system of equations a x+b y+c z=0b x+c y+a z=0c x+a y+b z=0 has infinite solutions. because Statement II: If the homogeneous system of equations has no non trivial solution, then it has infinitely many solutions. a. A b. \ B c. \ C d. D

If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^2) is (a) a constant (b) a function of x only (c) a function of y only (d) a function of x and y

If y^2=a x^2+b x+c , then y^3(d^2y)/(dx^2) is (a) a constant (b) a function of x only (c) a function of y only (d) a function of x and y