Question # 1

The central angle of an arc of a circle whose length is equal to the radius of the circle is called the

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degree

radian

minute

second

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sin (α+β) - sin (α -β) =

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4 cosαsinβ

2 cosαsinβ

4 cosαcosβ

4 sin αsinβ

Period of Tangent function is

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0°

-π

π

2π

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No solution

One real solution

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α>β> 0

α>β

β>α

None of these

Derivative of x³w.r.t x is

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0

1

3x²

x³

The number of ways of arranging the letter AAAAA BBB CCC D EE F in a row when no two C's are together is

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If z = (x,y) , then z ̅ =

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(-x,y)

(x,-y)

(-x, -y)

None of these

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

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{3,2,5}

{1,3,9}

{-1,-2,-3}

{3,9,19}

We solve the system of non-homogeneous linear equations by

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a and b

b and c

c and a

a,b and c

150°= ______

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If e,e′ be the eccentricities of two conics S=0 and S′ =0 and if e2 +e′2 =3 then both S and S′ can be

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Hyperbola

Parabolas

Ellipses

None of these

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1

2

-1

0

Order (or sense) of an inequality is changed by multiplying or dividing its each side by a:

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Zero

one

negative constant

Non negative constant

Which of the following is a vector.

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energy

force

work

power

The number of standard parabolic functions are is

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4

2

3

1

The 7th term of (3⁸ + 6⁴x)^11/4 is

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-19217/3 x⁶

189/2 6⁴x

2227/12 x³

-19712/3 x⁶

If A is a non singular matrix then A^-1= ______

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Sec 30° = ______

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sin (α +β)=

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sinαcosβ- cosαsinβ

sinαcosα- cosβsinβ

sinαcosα+ cosβsinβ

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(2x+a+b+c)

(a+b+c)

(a+b+c+x)

0

If a2 = b2 then

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a = b

a+b= 1

|a+b| =0

None

A circle passing through the vertices of any triangle is called

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Circumcirle

Incircle

Escribed circle

Unit circle

The direction cosines of y-axis are

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1, 0, 0

0, 1, 0

0, 0, 1

1, 1, 1

cos(3π/2 +θ) = _____;

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sinθ

cosθ

-sinθ

-cosθ

{x : xε Z and x < 1} is

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Singleton set

A set with two points

Empty set

None of these

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-2

-1

1

2

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