2. If $f(x) = x + 2$, then what is the value of $(f^{-1} \circ f)(x)$ at $x=4$?
3. ∫ cosecx dx
4. The maximum value of $\left(\frac{1}{x}\right)^x$ is?
5. The area between the curve y = sechx and x-axis is
6. If $(3 + 4i)(x + iy) = 1 + i$, then what is the value of $x^2 + y^2$?
7. If the roots of the quadratic equation $x^2 + px + q = 0$ are $\tan(30^\circ)$ and $\tan(15^\circ)$ respectively, then what is the value of $(q-p)$?
8. If the sum of series 54 51 48 ... is 513 , then the number of terms are
9. In a skew symmetric matrix , the diagonal elements are all
10. If $A$ and $B$ are square matrices of order $n$ and $A = KB$ where $K$ is a scalar, then what is the determinant of $A$, denoted as $|A|$?
11. Equation x+y=2 and 2x+2y=3 will have
12. If A and B are two sets with n(A)=8, n(B)=5 , A union B is equal to 10 then A intersection B is equal to
13. A function $f(x)=x^2+cosx+1$ is
14. log(ab)-log(b) equals
15. If the sum of the coefficients in the expansions of $(x+y)^n$ is 4096 then the greatest coefficient in the expansion is
16. e is
17. The number of straight lines that can be formed by joining 8 points of which 4 points are collinear is
18. Direction of zero vector
19. The vertices of a triangle are (0,3), (-3,0), and (3,0). Then , the orthocenter of the triangle is
20. If the sum of the distance of a point from two perpendicular lines in aplane is 1, then the locus of the point is
21. In Triangle ABC, sinA:sinB:sinC=1:2:3. if b=4 then the perimeter of the triangle is
22. if x+y+z=xyz then $tan^{-1}x + tan^{-1}y + tan^{-1}z = \pi$ =
23. The minimum value of |sinx| and |secx| are
24. if tanA = 1/2 and tanB=1/3 then tan(2A-2B)=
25. if 3sinθ+4cosθ=5 thne the value of 4sinθ-3cosθ is