Instructions

Let $$a_n$$ denote the number of all n-digit positive integers formed by the digits 0,1 or both such that no consecutive digits in them are 0. Let $$b_n =$$ the number of such n-digit integers ending with digit 1 and $$c_n =$$ the number of such n-digit integers ending with digit 0.

Question 51

Question 52

# The value of $$b_6$$ is

Instructions

A tangent PT is drawn to the circle $$x^2 + y^2 = 4$$ at the point $$P(\sqrt{3}, 1)$$. A Straight line L, perpendicular to PT is a tangent to the circle $$(x - 3)^2 + y^2 = 1$$

Question 53

Question 54

# A possible equation of L is

Instructions

For the following questions answer them individually

Question 55

Question 56

Question 57

Question 58

Question 59

Question 60

OR