1
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What are the degree and order respectively of the differential equation satisfying $${e^{y\sqrt {1 - {x^2}} + x\sqrt {1 - {y^2}} }} = C{e^x}$$, (where $$c > 0,\left| x \right| < 1,\left| y \right| < 1$$) ?
A
1, 1
B
1, 2
C
2, 1
D
2, 2
2
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the curve which passes through the point (1, 1) and whose slope is $${{2y} \over x}$$ ?
A
Circle
B
Parabola
C
Ellipse
D
Hyperbola
3
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$x\,dy = y\,dx + {y^2}dy$$, y > 0 and y(1) = 1, then what is y($$-$$3) equal to ?
A
Only 3
B
Only $$-$$1
C
Both $$-$$1 and 3
D
Neither $$-$$1 nor 3
4
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the order of the differential equation $${{dx} \over {dy}} + \int {y\,dx = {x^3}} $$ ?
A
1
B
2
C
3
D
Cannot be determined
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