Visitors Online: 0 | Friday 13th December 2019
 CBSE Guess > Papers > Important Questions > Class XII > 2009 > Maths > Mathematics By Mr. Ashok Khugshal CBSE CLASS XII
Q. 1. Show that f is continuous at x = 1. Q. 2. Differentiate w.r.t Q. 3. Let and . Show that F(A)= 0 .Use this result to find out . Q. 4. Without expanding show that :- Q. 5. Show that is continuous both at x = 0 and x =1. Q. 6. Differentiate with respect to Q. 7. Show that . Q. 8. Find if Q. 9. Let the two matrices A and B be given by Verify that AB=BA=6I , where I is a unit matrix of order 3 and hence solve the system of equations : x – y =3; 2 x + 3 y +4z =17; Y + 2z = 7 Q. 10. If , find and hence solve the system of equations: Q. 11. Differentiate with respect to . Q. 12. If verify that . Q. 13. If , prove that Q. 14. Find matrix X for which, where is cube root of unity. Q. 15. Find X if Q. 16. Find a and b so that the function f is given by is continuous at x=3 and x=5. Q. 17. If x = sin t y = sin mt , prove that : Q. 18. when y = Q. 19. Show that the system of equations given below is consistent and hence solve them: Q. 20.   Q. 21. If , show that , hence show that the result holds good when . Find when Q. 22. Show that : is continuous at x=0. Q. 23. Differentiate w .r. t. Q. 24. If y = , find . Q. 25. Prove that . Q. 26. If then prove that Q. 27. If ; prove that Q. 28. For what values of a and b , the following system of equations is consistent? . Q. 29. If Prove that is a constant independent of a and b. Q. 30. If y = than show that Q. 31. Determine the value of ‘k’ so that the function: is continuous at x = Q. 32. If A = , find and show that . Q. 33. If , find . Q. 34. If , find . Q. 35. If then at t = . Q. 36. Prove , using properties of determinants that Q. 37. If find . Q. 38. If , find . Paper By Mr. Ashok Khugshal