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 |