For the curve `C:y=e^(2x)cos x,` which of the following statement(s) is/are true ?

For the equation (e^-x)/(x+1) which of the following statement(s) is/are correct ?

For the equation (e^(x))/(x+1) which of the following statement(s) is/are correct?

For the function f(x) = cos^(-1)x + cos ^(-1) x^(2) which of the following statements is/are true

For the circle x ^(2) + y^(2) + 6x -8y +9=0, which of the following statement is true ?

For the circle x ^(2) + y^(2) + 6x -8y +9=0, which of the following statement is true ?

Statement 1 : The order of the differential equation whose general solution is y==c_1cos2x+c_2sin^2x+c_3cos^2x+c_4e^(2x)+c_5e^(2x+c_6) is 3. Statement 2 : Total number of arbitrary parameters in the given general solution in the statement (1) is 3. Which of the following statements is/are correct ?

Statement 1 : The order of the differential equation whose general solution is y==c_1cos2x+c_2sin^2x+c_3cos^2x+c_4e^(2x)+c_5e^(2x+c_6) is 3. Statement 2 : Total number of arbitrary parameters in the given general solution in the statement (1) is 3. Which of the following statements is/are correct ?

If alpha = x + y + z + omega and beta = (xy + yz + zomega + omega x + omega y + xz), then which of the following statement(s), is/are true