If , then the value of [] is

**A. **

**B. **

**C. ** 1

**D. ** -1

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

**Explaination / Solution: **

No Explaination.

No Explaination.

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If , where , , are any three vectors such that . ≠ 0 and . ≠ 0 ,then and are

**A. ** perpendicular

**B. ** parallel

**C. ** inclined at an angle π/3

**D. ** inclined at an angle π/3

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

**Explaination / Solution: **

No Explaination.

No Explaination.

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If the distance of the point (1,1,1) from the
origin is half of its distance from the plane *x + y + z + k *= 0 , then the values of *k* are

**A. ** ±3

**B. ** ±6

**C. ** -3, 9

**D. ** 3, -9

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

**Explaination / Solution: **

No Explaination.

No Explaination.

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If *P*(*x*, *y*)
be any point on 16*x*^{2 }+ 25 *y*^{2 }= 400 with
foci *F*_{1 }(3, 0) and *F*_{2 }(−3, 0) then *PF*_{1
}+ *PF*_{2} is

**A. ** 8

**B. ** 6

**C. ** 10

**D. ** 12

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

**Explaination / Solution: **

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Area of the greatest
rectangle inscribed in the ellipse is

**A. ** 2ab

**B. ** ab

**C. ** √ab

**D. ** a/b

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

**Explaination / Solution: **

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is equal to

**A. ** 2π

**B. ** π

**C. ** 0

**D. ** tan^{-1} (12/65)

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

**Explaination / Solution: **

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Then *x
*is a root of the equation

**A. ** *x*^{2} − *x *− 6 = 0

**B. ** *x*^{2} − *x *−12 = 0

**C. ** *x*^{2} + *x *−12 = 0

**D. ** *x*^{2} + *x *− 6 = 0

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

**Explaination / Solution: **

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A polynomial equation in *x
*of degree *n *always has

**A. ** *n* distinct roots

**B. ** *n* real roots

**C. ** *n* imaginary roots

**D. ** at most one root.

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

**Explaination / Solution: **

A polynomial of degree n always has n roots

A polynomial of degree n always has n roots

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The area of the triangle
formed by the complex numbers *z*, *iz*, and *z *+ *iz *in the Argand’s diagram is

**A. ** 1/2
| z |^{2}

**B. ** | z |^{2}

**C. ** 3/2 | z |^{2}

**D. ** 2 | z |^{2}

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

**Explaination / Solution: **

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