12 Science CBSE Maths Answers for MCQ Relations and Functions in English

Similar Questions from CBSE, 12th Science, Maths, Relations and Functions

Question 1 : Letbe defined as f(x) = 3x.  (View Answer Video)

Question 2 :  Let   defined as f(x) = 5 be a constant function. Then its range is (View Answer Video)

Question 3 : Number of binary operations on the set {a, b} are : (View Answer Video)

Question 4 :  Let R be the relation on the set {1, 2, 3, 4} given by R = {(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3,3), (3,2)}. then R is, (View Answer Video)

Question 5 :  If f is the greatest integer function and g is the modulus function . Write the value of g o f(-1/3) – f o g ( -1/3 ) . (View Answer Video)

Questions from Other Chapters of CBSE, 12th Science, Maths

Vector Algebra

Question 1 : Find |x|, if for a unit vector a,(x - a).(x + a) = 12. (View Answer Video)

Question 2 : For given vectors,and find the unit vector in the direction of the vector a + b. (View Answer Video)

Question 3 :  Find the sum of the vectors and   (View Answer Video)

Question 4 : Find   if   and   (View Answer Video)

Question 5 :  Find the direction cosines of the vector joining the points A(1, 2, -3) and B(-1, -2, 1) directed from B to A. (View Answer Video)

Application of Derivatives

Question 1 : It is given that  at x=1, the function attains its maximum value on the interval[0,2]. Find the value of a? (View Answer Video)

Question 2 : The total revenue (in Rs) received from the sale of 'x' units of a product is given by :
R(x) =3x²+36x+5.
FInd the marginal revenue when x=5, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instant. (View Answer Video)

Question 3 : Find the approximate change in the surface area of a cube of side x meters caused by decreasing the side by 1%. (View Answer Video)

Question 4 : Sand is pouring from a pipe at the rate of . The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing, when the height is 4 cm? (View Answer Video)

Question 5 : The slope of the tangent to the curve  at the point (2,-1) is _______________. (View Answer Video)

Application of Integrals

Question 1 : Find the area of the region bounded by the curve  and . (View Answer Video)

Question 2 : Using the method of integration, find the area of the region bounded by the lines 3x - 2y + 1 = 0, 2x + 3y -21 = 0 and x - 5y + 9 = 0. (View Answer Video)

Question 3 : Given that , for x = 0 to x = 20. Find f(x) and g(x) such that the area between f(x) and from x = 0 to x = 5 be and area between g(x) and from y = 0 to y = 5 be . Is = ? Like functions f and g which work is better, team work or individual work? (View Answer Video)

Question 4 : Find the area between the curves y = x and  (View Answer Video)

Question 5 : A farmer has a field of shape bounded by and x = 3, he wants to divide this into his two sons equally by a straight line x = c. Can you find c? What value, you find in the person ? (View Answer Video)