If and are parallel vectors,
then [ , , ] is equal to

**A. ** 2

**B. ** -1

**C. ** 1

**D. ** 0

**Answer : ****Option D**

**Explaination / Solution: **

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If the volume of the parallelepiped with as coterminous edges is 8 cubic units, then the volume of the
parallelepiped with and as coterminous edges is,

**A. ** 8 cubic units

**B. ** 512 cubic units

**C. ** 64 cubic units

**D. ** 24 cubic units

**Answer : ****Option C**

**Explaination / Solution: **

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If the direction cosines of a line are then

**A. ** c = ±3

**B. ** c = ±√3

**C. ** c > 0

**D. ** 0 < c < 1

**Answer : ****Option B**

**Explaination / Solution: **

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The centre of the circle
inscribed in a square formed by the lines *x*^{2 }− 8*x *−12
= 0 and *y*^{2 }−14 *y *+ 45 = 0 is

**A. ** (4, 7)

**B. ** (7, 4)

**C. ** (9, 4)

**D. ** (4, 9)

**Answer : ****Option A**

**Explaination / Solution: **

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Let *C *be the circle
with centre at (1,1) and radius = 1 . If *T *is the circle centered at (0,
*y*) passing through the origin and touching the circle *C *externally,
then the radius of *T *is equal to

**A. ** √3/√2

**B. ** √3/2

**C. ** 1/2

**D. ** 1/4

**Answer : ****Option D**

**Explaination / Solution: **

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The value of sin^{−1 }(cos *x*), 0 ≤ *x *≤ *π* is

**A. ** π - *x*

**B. ** *x* - π/2

**C. ** π/2
- *x*

**D. ** *x* - π

**Answer : ****Option C**

**Explaination / Solution: **

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If the function *f *(*x*)
= sin^{−1 }(*x*^{2 }− 3) , then *x *belongs to

**A. ** [-1,1]

**B. ** [√2,2]

**C. ** [-2-√2]U[√2,2]

**D. ** [-2,- √2]

**Answer : ****Option C**

**Explaination / Solution: **

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A zero of *x*^{3 }+ 64 is

**A. ** 0

**B. ** 4

**C. ** 4i

**D. ** -4

**Answer : ****Option D**

**Explaination / Solution: **

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If | *z*_{1 }|
= 1, | *z*_{2 }| = 2, | *z*_{3 }| = 3 and | 9*z*_{1 }*z*_{2
}+ 4*z*_{1 }*z*_{3 }+ *z*_{2 }*z*_{3 }| = 12 , then the value of | *z*_{1 }+ *z*_{2 }+ *z*_{3 }| is

**A. ** 1

**B. ** 2

**C. ** 3

**D. ** 4

**Answer : ****Option B**

**Explaination / Solution: **

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