Processing math: 37%




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21.

If [1x1 ] [132051032][x12] = 0 then x is


A) -1/2

B) 1/2

C) 1

D) -1



22.

The principal value of sin1[sin5π3] is


A) 5π3

B) 5π3

C) π3

D) 4π3



23.

Let the line \frac{x-2}{3}=\frac{y-1}{-5}=\frac{z+2}{2}  lie in the plane x + 3y - αz+ β = 0. Then (α, β) equals


A) (-6, 7)

B) (5, -15)

C) (-5,5)

D) (6, -17)



24.

The vector equation of the symmetrical form of equation of straight line \frac{x-5}{3} =\frac{y+4}{7} = \frac{z-6}{2} is


A) \vec{r}=(3\hat{i}+7\hat{j}+2\hat{k})+\mu(5\hat{i}+4j-6\hat{k})

B) \vec{r}=(5\hat{i}+4\hat{j}-6\hat{k})+\mu(3\hat{i}+7j+2\hat{k})

C) \vec{r}=(5\hat{i}-4\hat{j}-6\hat{k})+\mu(3\hat{i}-7j-2\hat{k})

D) \vec{r}=(5\hat{i}-4\hat{j}+6\hat{k})+\mu(3\hat{i}+7j+2\hat{k})



25.

If \int_{}^{}\frac{3x + 1}{(x-5)(x-3)} dx =

\int_{}^{}\frac{-5}{(x-3)}dx + \int_{}^{}  \frac{B}{x-5}dx, then the value of B is  


A) 3

B) 4

C) 6

D) 8



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