CBSE Class 12 Differential Equations Multiple Choice Questions with Answers. MCQ Questions Class 12 Differential Equations with Answers Is Prepared Based on Latest Exam Pattern. Students can solve NCERT MCQ questions Class 12 Differential Equations with Answers to know their preparation level.
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MCQ Questions Class 12 Differential Equations with Answers - Set - 4
Question 1:Â
The solution of the differential equation cos x sin y dx + sin x cos y dy = 0 is
(a)Â sinx/siny=c
(b) sin x sin y = c
(c) sin x + sin y = c
(d) cos x cos y = c
Correct Answer – (B)
Question 3:Â
The differential equation satisfied by y = Ax + B is (A, B are parameters)
(a) x2Â y1Â = y
(b) xy1Â + 2y2Â = 0
(c) xy2Â + 2y1Â = 0
(d) none of these
Correct Answer – (C)
Question 4:Â
The degree of the differential equation
(a) 2
(b) 1
(c) 3
(d) none of these
Correct Answer – (A)
Question 5:Â
The differential equation of all parabolas whose axis of symmetry is along the axis of the x-axis is of order
(a) 3
(b) 1
(c) 2
(d) none of these
Correct Answer – (C)
MCQ Questions Class 12 Differential Equations With Answers
Question 6:Â
The solution of the differential equation
is
(a) y = tan-1Â x
(b) y – x = k(1 + xy)
(c) x = tan-1Â y
(d) tan(xy) = k
Â
Correct Answer – (B)
Question 7:Â
The solution of a differential equation is y = c1e4x + c2e3x, the differential equation is given by
Correct Answer – (C)
Question 8:Â
The differential equation whose solution is (x – h)2 + (y – k)2 = a2 is (a is a constant)
Correct Answer – (B)
Question 9:Â
The degree of the equation satisfying the relation
(a) 1
(b) 2
(c) 3
(d) none of these
Correct Answer – (A)
Question 10:Â
Given the differential equation
Mark out the correct statement.
(a) solution is y2 – sin y = -2x3 + C
(b) solution is y2Â + sin y = 2x3Â + C
(c) C = π2+ 2√2
(d) C = π2 + 2
Correct Answer – (B)
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