Arts (English Medium) Class 12 - CBSE Question Bank Solutions for Mathematics

`"sin"^-1 (1 - "x") - 2  "sin"^-1  "x" = pi/2`

`2  "tan"^-1 ("cos x") = "tan"^-1 (2  "cosec x")`

`"sin" ["cot"^-1 {"cos" ("tan"^-1  "x")}] =` ____________.

The value of `"cos"^-1 ("cos" ((33 pi)/5))` is ____________.

`"cos"^-1 ["cos" (2  "cot"^-1 (sqrt2 - 1))] =` ____________.

The range of sin^-1 x + cos^-1 x + tan^-1 x is ____________.

Find the value of sec² (tan^-1 2) + cosec² (cot^-1 3) ____________.

`"tan"(pi/4 + 1/2 "cos"^-1 "x") + "tan" (pi/4 - 1/2 "cos"^-1 "x") =` ____________.

3 tan^-1 a is equal to ____________.

The equation 2cos^-1 x + sin^-1 x `= (11pi)/6` has ____________.

If `"x" in (- pi/2, pi/2), "then the value of tan"^-1 ("tan x"/4) + "tan"^-1 ((3 "sin" 2 "x")/(5 + 3 "cos" 2 "x"))` is ____________.

If tan^-1 x – tan^-1 y = tan^-1 A, then A is equal to ____________.

If A `= [(2,3),(1,-4)]  "and B" = [(1,-2),(-1,3)],` then find (AB)^-1.

If A `= [(2,3),(3,4)],` then find A^-1.

Find a 2 x 2 matrix B such that B `= [(1, -2),(1,4)] = [(6,0),(0,6)]`

The number of discontinuous functions y(x) on [-2, 2] satisfying x² + y² = 4 is ____________.

Let f (x) `= (1 - "tan x")/(4"x" - pi), "x" ne pi/4, "x" in (0, pi/2).` If f(x) is continuous in `(0, pi/2), "then f"(pi/4) =` ____________.

If f(x) `= sqrt(4 + "x" - 2)/"x", "x" ne 0` be continuous at x = 0, then f(0) = ____________.

Determine the maximum value of Z = 4x + 3y if the feasible region for an LPP is shown in figure

Determine the minimum value of Z = 3x + 2y (if any), if the feasible region for an LPP is shown in Figue.