Learn about important 2 marks questions of Class 12 Mathematics. These questions are expected to be asked in CBSE Class 12 Maths board exam 2018. You can easily find the solutions of these questions from NCERT Solutions, CBSE Sample Papers and Practice Papers provided by Jagranjosh. Links to access these articles are given in between the questions and also at the end.
According to the latest CBSE 12^{th} Maths examination pattern, 8 two marks questions will be asked in the paper.
We have already provided
Important 1 mark questions for Class 12 Maths board exam 2018
Important 4 marks questions for Class 12 Maths board exam 2018
Important 6 marks questions for Class 12 Maths board exam 2018
Students preparing for CBSE Class 12 Maths board exam 2018 are also advised to go through the latest CBSE Blueprint and Sample Paper (Issued by CBSE)
Important (2 marks) question for CBSE Maths board exam 2018 are given below:
Question:
If e^{y} (x + 1) = 1, show that dy/dx = ‒ e^{y}.
Question:
Verify that ax^{3} + by^{2} = 1 is a solution of the differential equation x (yy_{1} + y_{1}) = yy_{1}.
Question:
Find the approximate change in the value of (1/x^{2}), when x changes from x = 2 to x = 2.002.
Question:
Solve the following Linear Programming Problem graphically:
Maxmize: Z = 3 x + 4 y
Subject to: x + y ≤ 4, x ≥ 0 and y ≥ 0.
Class 12 Maths Sample Paper with Hints (Issued by CBSE)
Question:
If 4sin^{‒1}x + cos^{‒1 }x = π, then find the value of x.
Question:
Let the function f: R → R be defined by f (x) = cos x for all x ϵ R. Show that f is neither one-one nor onto.
Question:
Evaluate: cos^{‒1 }(‒√3 /2) + π/6).
Question:
If cos (tan^{‒1} x + cot ^{‒1 }√3) = 0 then calculate the value of x.
Related Video: Tips to score more than expected marks in CBSE board exams 2018
Question:
A couple has 2 children. Find the probability that both are boys, if it is known that (i) one of them is a boy (ii) the older child is a boy.
Question:
If A and B are two events such that P (A) = 0.4, P (B) = 0.8 and P (B|A) = 0.6, then find P (A|B).
Question:
Arun can solve 90 % of the problems given in a book whereas Amit can solve 70%. Find the probability that at least one of them will solve the problem, selected at random from the book?
Class 12 Maths Guess Paper 2018
Question:
Differentiate 8^{x}/x^{8} with respect to x.
Question:
If f (x) = |cos x ‒ sin x|, then find the value of f’(π/3).
Question:
Find dy/dx when x and y are connected by the relation: tan^{-}^{1} (x^{2} + y^{2}) = a
Question:
Find dy/dx when x and y are connected by the relation: sec (x + y) = xy
Question:
If x = 3sin t - sin 3t, y = 3 cos t - cos 3t, then find dy/dx.
Question:
If f(x) = sin 2x – cos 2x, find f '(π/6).
Question:
Find the sum of the order and the degree of the following differential equations:
(d^{2}y/dx^{2}) + (dy/dx)^{1/3} + (1 + x) = 0.
Question:
Examine the continuity of the function f (x) = x^{3} + 2x^{2} - 1 at x = 1.
Question:
Examine if Rolle’s theorem is applicable for the function f (x) = |x ‒ 1| in [0, 2].
Question:
Find an angle q, where 0 < q < π/2, which increases twice as fast as its sine.
Question:
Find the approximate value of (1.999)^{5}.
CBSE Class 12 Mathematics Solved Question Paper: 2017 | 2016
Question:
Show that f (x) = tan^{-}^{1} (sin x + cos x) is an increasing function in (0, π/4).
Question:
Integrate: dx/(1+cos x).
Question:
Integrate: tan^{2}x sec^{4}x dx.
Question:
Integrate: x/(√x + 1).
Question:
Find the Cartesian and vector equations of the line which passes through the point (‒2, 4, ‒5) and parallel to the line given by (x + 3)/3 = (y ‒ 4)/5 = (8 ‒ z)/‒6.
Question:
Find the Projection (vector) of 2 i ‒ j + k on i ‒ 2j + k.
Question:
Find the coordinates of the point where the line through the points A (3, 4, 1) and B (5, 1, 6) crosses the XZ plane.
Question:
How many equivalence relations on the set {1, 2, 3} containing (1, 2) and (2, 1) are there in all? Justify your answer.
Question:
The sides of an equilateral triangle are increasing at the rate of 2 cm/sec. Find the rate at which its area increases, when side is 10 cm long.
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