**CBSE Guess Paper 2010**

**Mathematics**

**Class – XII**

**1. **If A = , Write the value of .

**2. **Differentiate with respect to .

**3. **Find the value of a and b such that the function defined by is a continuous function.

**4. (i) (ii) (iii) **

** (iv) (v) (vi) **

**5. **If , then show that A is a root of the polynomial .

**6. **Solve the equations .

**7. **Evaluate the following limits:-

(i)

(ii)

(iii) (iv)

(v)

**8. **If x, Find x and y.

**9. **Differentiate w.r.t. ‘x’:- (i) (ii)

**10. **Evaluate **OR**

**11. **If f(x)= is continuous at x=1, find the value of a and b.

**12. **

**13. **If (a+bx)e^{y/x} =x ,then show that

** Or**

If x=a(α-sin α), y=a(1+cos α), find at α=

**14. **If and ,show that .

**15. **Using vectors prove that in a triangle ABC, cosA =, a, b and c are sides opposite to A,B and C respectively.