MCQOPTIONS
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MCQOPTIONS
This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The happiness(H) of a person depends upon the money he earned(m) and the time spend by him with his family(h) and is given by equation H=f(m,h)=400mh2 whereas the money earned by him is also depends upon the time spend by him with his family and is given by m(h)= (1-h2). Find the time spend by him with his family so that the happiness of a person is maximum. |
| A. | (<sup>1</sup> <sub>3</sub>) |
| B. | (<sup>2</sup> <sub>3</sub>) |
| C. | (<sup>4</sup> <sub>3</sub>) |
| D. | 0 |
| Answer» C. (<sup>4</sup> <sub>3</sub>) | |
| 2. |
Find the approximate value of [0.982 + 2.012 + 1.942](1 2). |
| A. | 1.96 |
| B. | 2.96 |
| C. | 0.04 |
| D. | -0.04 |
| Answer» C. 0.04 | |
| 3. |
If (u=x^2 tan^{-1} ( frac{y}{x})-y^2 tan^{-1} ( frac{x}{y}) ) then ( frac{ ^2 u}{ x y} ) is? |
| A. | ( frac{x^2+y^2}{x^2-y^2} ) |
| B. | ( frac{x^2-y^2}{x^2+y^2} ) |
| C. | ( frac{x^2}{x^2+y^2} ) |
| D. | ( frac{y^2}{x^2+y^2} ) |
| Answer» C. ( frac{x^2}{x^2+y^2} ) | |
| 4. |
If u = xx + yy + zz , find du dx + du dy + du dz at x = y = z = 1. |
| A. | 1 |
| B. | 0 |
| C. | 2u |
| D. | u |
| Answer» E. | |
| 5. |
Value of (x frac{ u}{ x}+y frac{ u}{ y} ) if (u= frac{Sin^{-1} ( frac{y}{x})( sqrt x+ sqrt y)}{x^3+y^3} ) is? |
| A. | -2.5 u |
| B. | -1.5 u |
| C. | 0 |
| D. | -0.5 u |
| Answer» B. -1.5 u | |
| 6. |
Does function f(x,y) = (Sin^{-1} [ frac{( sqrt x+ sqrt y)}{ sqrt{x+y}}] ) can be solved by euler s theorem. |
| A. | True |
| B. | False |
| Answer» C. | |
| 7. |
If f(x,y) = x+y y , x z x + y z y = ? |
| A. | 0 |
| B. | 1 |
| C. | 2 |
| D. | 3 |
| Answer» B. 1 | |
| 8. |
Necessary condition of euler s theorem is _________ |
| A. | z should be homogeneous and of order n |
| B. | z should not be homogeneous but of order n |
| C. | z should be implicit |
| D. | z should be the function of x and y only |
| Answer» B. z should not be homogeneous but of order n | |
| 9. |
Differentiation of function f(x,y,z) = Sin(x)Sin(y)Sin(z)-Cos(x) Cos(y) Cos(z) w.r.t y is? |
| A. | f (x,y,z) = Cos(x)Cos(y)Sin(z) + Sin(x)Sin(y)Cos(z) |
| B. | f (x,y,z) = Sin(x)Cos(y)Sin(z) + Cos(x)Sin(y)Cos(z) |
| C. | f (x,y,z) = Cos(x)Cos(y)Cos(z) + Sin(x)Sin(y)Sin(z) |
| D. | f (x,y,z) = Sin(x)Sin(y)Sin(z) + Cos(x)Cos(y)Cos(z) |
| Answer» C. f (x,y,z) = Cos(x)Cos(y)Cos(z) + Sin(x)Sin(y)Sin(z) | |