# (Download) CBSE XI Mathematics Sample Paper: 2012

## Sample Paper – 2012

Class – XI

Subject – Mathematics

**Question 1:** If D,G and R denote respectively the number of degrees,
grades and radians in an angle, then find the value of D/100 in grades and in
radians.

**Question 2:** Find the value of (1+i) (1+i^{2}) (1+i^{3})
(1+i^{4}).

**Question 3:** In a survey of 25 students, it was found that 15 had taken
mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken
Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken
Physics and Chemistry and 3 had taken all the three subjects. Using the
properties of sets find the number of students that had:

(i) only Chemistry.

(ii) only Mathematics.

(iii) only Physics.

(iv) Physics and Chemistry but not Mathematics.

(v) Mathematics and Physics but not Chemistry.

(vi) only one of the subjects

**Question 4:** Find the equation of the ellipse whose
axes are parallel to the coordinare axis having its centre at the point (2,3)
one focus at (3,-3) and one vertex at (4,-3).

**Question 5:** Find the equation of a circle which passes
through the point (2,0) and whose centre is the limit of the point of
intersection of the lines 3x+5y=1 and (2+c)x+5c^{2}y=1 as c→1.