Mathematics Tes...

If sin (sin-1 1/7 + cps-1 x) = 1, then x is equal to

If f : R → R is defined by

f (x) = x² – 3x; if x > 2

= x + 2; if x < 2,

then f(4) =

Which of the following is logically equivalent to ∼ (∼p ⇒ q) ?

Suppose f(x) = (x + 1)² for x - 1. If g(x) is the function whose graph is the reflection of the graph of f(x) with respect to line y = x, then g(x) is equal to

Directions: The following question has four choices, out of which ONE or MORE is/are correct.

The tangent to the circle x² + y² = 5 at (1, − 2) also touches the circle x² + y² − 8x + 6y + 20 = 0. Then the point of contact is

What is the total number of different combinations of names, which can be made from the letters of the word MISSISSIPPI, using all the letters at a time?

If \(f(a+b-x)=f(x)\), then \(\int_{\frac{1}{2}}^{b} x f(x) d x\) is equal to

The equation of the normal to the ellipse x²/a² + y²/b² = 1 at the positive end of the latus rectum is