CBSE[Delhi]_XII_Mathematics_2005_Set I

 In a single throw of three dice, determine the probability of getting

(a) a total of 5          (b) a total of at most 5.

A body falls freely from the top of a tower; It covers 5/9^th of the whole distance in the last second. Find the height of the tower and the total by the body to fall down.

Show that , where a, b, c are in A.P. 

A class consists of 10 boys and 8 girls. Three students are selected at random. Find the probability that the selected group has:

(a) All boys,

(b) All girls,

(c) 2 boys and 1 girl.

Evaluate .

Evaluate 

Form the differential equation representing the family y²-2ay+x²= a² where a is an arbitrary constant.

Solve the following differential equation:

 .

A car, traveling with a uniform acceleration, has a velocity of 18 km/hour at a certain time and 54 km/hour after covering a distance of 500m. How much further will it travel to attain a velocity of 72 km/hour?