If [,, ] = 1, then the value of is

**A. ** 1

**B. ** -1

**C. ** 2

**D. ** 3

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

**Explaination / Solution: **

No Explaination.

No Explaination.

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The angle between the lines and is

**A. ** π/6

**B. ** π/4

**C. ** π/3

**D. ** π/2

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

**Explaination / Solution: **

No Explaination.

No Explaination.

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If the length of the perpendicular from the
origin to the plane 2x + 3y + λ z = 1 , λ > 0 is 1/5 , then the value of λ
is

**A. ** 2√3

**B. ** 3√2

**C. ** 0

**D. ** 1

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

**Explaination / Solution: **

No Explaination.

No Explaination.

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The area of quadrilateral
formed with foci of the hyperbolas is

**A. ** 4(*a*^{2} + b^{2} )

**B. ** 2(*a*2 + b^{2} )

**C. ** *a*^{2} + b^{2}

**D. ** 1/2 (*a*^{2} + b^{2} )

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

**Explaination / Solution: **

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The eccentricity of the
ellipse (x - 3)^{2} + ( y - 4)^{2} = y^{2}/9 is

**A. ** √3 / 2

**B. ** 1 / 3

**C. ** 1 / 3√2

**D. ** 1 / √3

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

**Explaination / Solution: **

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is valid for

**A. ** − π ≤ x ≤ 0

**B. ** 0 ≤ x ≤ π

**C. ** -π/2 ≤ x ≤ π/2

**D. ** -π/4 ≤ x ≤ 3π/4

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

**Explaination / Solution: **

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If then cos 2*u *is equal to

**A. ** tan^{2} α

**B. ** 0

**C. ** -1

**D. ** tan 2α

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

**Explaination / Solution: **

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According to the rational
root theorem, which number is not possible rational zero of 4*x*^{7 }+ 2*x*^{4 }−10*x*^{3 }− 5 ?

**A. ** −1

**B. ** 5/4

**C. ** 4/5

**D. ** 5

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

**Explaination / Solution: **

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If z= , then | *z *| is equal to

**A. ** 0

**B. ** 1

**C. ** 2

**D. ** 3

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

**Explaination / Solution: **

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If *z *= *x *+ *iy *is a complex number such that | *z *+ 2 | = | *z *− 2 | , then the locus of *z
*is

**A. ** real axis

**B. ** imaginary axis

**C. ** ellipse

**D. ** circle

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

**Explaination / Solution: **

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**Preparation Study Material**- Physics Vol A1 (Study/Preparation)
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