Question # 1

The number of real tangents that can be drawn to the ellipse 3x²+ 5y²= 32 passing thro. (3, 5) is

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0

1

2

Infinite

The mid point of the line segment joining the points A(3,1) and B(-2,-4) is

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(1, -3)

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If one root of the equation x²- 3x + a = 0 is 2 then a = ______

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0

1

2

3

What is the conjugate of -6 -i?

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-6 +i

6+i

-6 -i

6 -i

The number of non zero rows in echelon form of a matrix is called

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Order of matrix

Rank of matrix

Row operation

None of these

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Matrices are represented by

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Natural numbers

Real numbers

Small letters

Capital letters

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If sin 6θ+ sin 4θ+ sin 2θ, thenθ=

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If Cⁿ_r, Pⁿ_r = 24:1 then r = ?

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1

2

3

4

Period of Sin 2x =

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π

4π

2nπ

2π

What is the period of Cot x?

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2π

π

π/2

4π

If sinθ = 1 then θ =

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2nπ +π/2

2nπ

2π +n

Nπ +π/2

Sin^-1 x =?

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π/2- Sin^-1 x

π/2 -Cos^-1 x

-Sin^-1 x

-Cos^-1 x

The two different parts of the hyperbola are called is

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Vertices

Directrices

Nappes

Branches

If α and β be irrational roots of a quadratic equation, then

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α = b/a and β = ca

α = a/b and β = -c/a

α² + β² = 1

α = -b/a and β= c/a

x is a member of the set {-1,0,3,5} y is a member of the set {-2,1,2,4} which is possible?

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x- y =-6

x -y < -6

x -y > 6

None

The area of circle of unit radius=

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0

1

4

π

If x² +y² = 4, Then dy/dx =

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2x +2y

4 -x²

-x/y

y/x

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