1. The value of if nPr = 720 and nCr = 120 then r =

2. The two sets $A = \{1, 2, 3\}$ and $B = \{x \in \mathbb{R} \mid x^3 - 6x^2 + 11x - 6 = 0\}$ are...?

3. The magnitude of vector can not be

4. Find the derivative of $\cos^{-1}(\sin x)$ with respect to $x$.

5. The two lines represented by the equation $ax^2 + 2hxy + by^2 = 0$ are real and distinct if?

6. The area of the circle given by the equation $(x-a)^2 + y^2 = a^2$ is?

7. The locus of the equation xy+yz=0 in space is

8. Two ends of the latus rectum are given then the maximum number of parabolas that can be drawn equals

9. The value of $\csc(10^\circ) - \sqrt{3}\sec(10^\circ)$ is?

10. The eccentricity of the rectangular hyperbola is

11. The latus retum of the hyperbola $16x^2-9y^2=144$

12. The graph of the function f(x)=1/x

13. Centre of the hyperbola with foci(6,4) and (-4,4) is

14. The maximum number of normals that can be drawn from a point to parabola is

15. The roots of the equation $2x^2 - 3x+1 = 0$ are

16. The line $x + y = k$ is a normal to the parabola $y^2 = 12x$. Find the value of $k$.

17. How many 7 digits number can be formed by using the digits 1,2,0,2,4,2 and 4?

18. In How many ways can the letters of the word "number" be arranged which begin and end with vowels?

19. The number of ways in which a boy cna put 4 marbles in his 6 pockets is

20. What is the sum of the binomial coefficients in the expansion of $(1 + x)^n$?

21. if a,b,c are in G.P. then logx, logy, logz are in

22. The domain of the function f(x)=1/x-3

23. The range of the function $f(x)=e^x+1$ is

24. Inverse function exists if f is

25. The system of equations 7x-3y=2 and 4x+y=9 has