# For vectors $\overrightarrow{\boldsymbol{F}}=3 x y \hat{\boldsymbol{I}}-y^{2} \hat{\boldsymbol{J}}$ and $\overrightarrow{\boldsymbol{R}}=x \hat{\boldsymbol{I}}+y \hat{\boldsymbol{J}},$ the value of $\int_{C} \overrightarrow{\boldsymbol{F}} \cdot d \overrightarrow{\boldsymbol{R}}$ on the curve $\mathrm{C}\left(y=2 x^{2}\right)$ in the $x-y$ plane from (0,0) to (1,2) is (A) -1.17 (B) 1.50 (C) -2.67 (D) 2.67

## Question ID - 156420 :- For vectors $\overrightarrow{\boldsymbol{F}}=3 x y \hat{\boldsymbol{I}}-y^{2} \hat{\boldsymbol{J}}$ and $\overrightarrow{\boldsymbol{R}}=x \hat{\boldsymbol{I}}+y \hat{\boldsymbol{J}},$ the value of $\int_{C} \overrightarrow{\boldsymbol{F}} \cdot d \overrightarrow{\boldsymbol{R}}$ on the curve $\mathrm{C}\left(y=2 x^{2}\right)$ in the $x-y$ plane from (0,0) to (1,2) is (A) -1.17 (B) 1.50 (C) -2.67 (D) 2.67

3537

(A) -1.17

Next Question :

Group I enlists in-situ field tests carried out for soil exploration, while Group II provides a list of parameters for sub-soil strength characterization. Match the type of tests with the characterization parameters.
Group I $\quad$                                                Group II
P. Pressuremeter Test (PMT)                   1. Menard's modulus $\left(E_{m}\right)$
Q. Static Cone Penetration Test (SCPT)  2. Number of blows ( $N$ )
R. Standard Penetration Test (SPT)         3. Skin resistance $\left(f_{c}\right)$
S. Vane Shear Test (VST)                        4. Undrained cohesion $\left(c_{u}\right)$
(A) $P-1 ; Q-3 ; R-2 ; S-4$
(B) $P-1 ; Q-2 ; R-3 ; S-4$
(C) $P-2 ; Q-3 ; R-4 ; S-1$
(D) $P-4 ; Q-1 ; R-2 ; S-3$ 