MATHEMATICS REVISION
FOR
11th Standard/grade
EXAMINATIONS
MATHEMATICS REVISION FOR
11th STANDARD/GRADE EXAMINATIONS
Question 1
A wheel makes 180 revolutions in one minute. Through how many radians does it turn in one second ?
[ Answer: radians]
Question 2
Find the principal solutions of the following:
[Answer: ]
Question 3
Find the equation of the line containing (4 , -3) and making an angle with the positive y –axis
[Answer : ]
Question 4
Determine the angle A of the triangle with vertices
A(2 , 4) , B (-4 , 2) and C (0 , 0)
[Answer: 45 degrees or ]
Question 5
Write the power set of A = { a , b , c , d }
Answer : { { } , { a } , {b} , { c } , {d} , {a , b} , {a, c}
{a,d} , {b, c} , { b , d}, {c, d }, {a , b , c }, { a , b , d } , { a , c , d} ,
{ b , c , d } , { a , b , c , d } }
Question 6
Find the Geometric Progression (GP) for which the sum of the first two terms is - 4 and the fifth term is four times the third term
Answer : - 4/3 , -8/3 , -16/3 , .............................
Or 4 , -8 , 16 , -32 , .....................
Question 7
Find the modulus of
[Answer : 13/5 ]
Question 8
Find the 9th term in the expansion of
[ Answer : 12C4. 38 . a4 . x-12
Question 9
How many words ( with or without meaning ) can be made from the letters in the word ‘ RESHMA’ assuming no letter is repeated, if
(i) all letters are used at a time
(ii) all letters are used at a time , but first letter is a vowel
[Answer: (i) 720 ways (ii) 240 ways]
Question 10
Anil and Ashima appeared in an examination. The probability that Anil will qualify the examination is 0.05 and that Ashima will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. Find the probability that
(i) none of them qualify the examination
(ii) only one of them qualify the examination
[Answer: (i) 0.87 (ii) 0.11]
Question 11
Find the polar form of the complex number,
Also find the principal value of the argument
[ Answer : Principal argument is ]
Question 12
Find the distance between the parallel lines
4x – 3y – 9 = 0 and 4x – 3y – 24 = 0
[Answer : 3 units]
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