Please give me sample paper for mathematics subject in class 12th examination of CBSE board ?

Here I am giving you sample paper for mathematics subject in class 12th examination of CBSE board in a file attached with it below :


A and B throw a die alternately till one of them gets a 5 and wins the
game. Find their respective probabilities of winning if A starts the game.
Why gambling is not a good way of earning money?

Find the intervals in which the function f (x) = 2x3 – 12x2 + 18x – 7 is
increasing or decreasing.
OR
Show that the curves 2x = y2 and 2xy = k cut at right angle if k2 = 8.

19. Solve (1 + y2) dx = (tan–1 y – x) dy ; y(0) = 0
20. Form the differential equation of the family of circles in the first quadrant
which touches the coordinate axes.

SECTION C
Question number 23 to 29 carry 6 marks each.
Two schools decided to award prizes to their teachers for two qualities–
knowledge and guidance. School A decided to award a total of Rs. 3200
for the values to 4 and 3 teachers respectively while school B decided to
award a total of Rs. 1600 for the values to 1 and 2 teachers respectively.
Represent the above situation by a system of linear equations and solve
using matrices. Which quality you prefer to be rewarded most and why?

28. In a bolt factory, machines A, B and C manufacture respectively 25%,
35% and 40% of the bolts. Of their output 5%, 4% and 2% are respectively
defective bolts. A bolt is drawn at random from the total production and is
found to be defective. Find the probability that it is manufactured by machine
B.
OR
An urn contains 4 white and 3 red balls. Find the probability distribution
of the number of red balls in a random draw of three balls. Also find
mean, variance and standard deviation of the distribution.

Attached Files

CBSE Class 12th Maths Problems.pdf (2.08 MB, 78 views)