MATHEMATICS JEE MAIN ONLINE MOCK -II

1. Let and be two roots of the equation , being complex. Further assume that the origin and form an equilateral triangle. Then

2. Let p and q be two statements. Amongst the following the statement that is equivalent to is

3. (Integer Answer ) Number of integral values of for which the equatin has 3 distinct solutions is

4. If then x equal to

6. (Integer Answer ) The number of integral terms in the expansion of is

7. If y = has its extremum values at and then

8. If then the positive value of m for which is a common tangent to is

9. The sum of the series upto is equal to

10. If then is equal to

11. The sum of the radii of inscribed and circumscribed circles for an n sided regular polygon of side a , is

12. If in ABC then the sides a,b and c are in

13. (Integer Answer) If then the value of is

14. Domain of definition of function is

15. The slope of one of the common tangents to the hyperbolas and is

16. If the angle between the lines whose direction cosines are connected by the relations and is , then the value of is

17. (Integer Answer) Let f(a) =g(a) =k and their nth derivatives exist and are not equal for some n. Further , if then value of k is equal to

18. If is the angle between the pair of tangents from point to the ellipse then the value of 19. If then A =

20. If satisfies for all and f(1) =7 then is

21. (Integer Answer) The value of the is

22. The value of the integral I = is

23. 24. (Integer Answer) Let If then one of the possible values of k is

25. The solution of the differential equation is