Question # 1

Through how many radians does the minute hand of a clock turn in one hour

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none of these

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

∀x,y∈ R and x < 0, y < 0, which one is true

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xy < o

xy = o

xy > o

None of these

If p and q are two statements then their conjunction is denoted by

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What is the value of cos (cos-1 2) ?

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√2

1/2

undefine

0

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If b₁, b₂, b₃, ... are in G.P. with first term unity and common ratio r, then the minimum value of b₁- b₃+ b₅is equal to

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3/4

1/4

1

None of these

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

Number of ways of writing the letters of WORD taken all at a time is

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24

4

12

6

If the trace of matrix A is 5, then the trace of the matrix 3A is

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3/5

5/3

8

15

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The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is

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120

124

128

132

sin(π+θ)=_______;

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sinθ

cosθ

-sinθ

-cosθ

System of linear equations is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

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The matrix A = [aij]mxn with m ≠n is always

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Symmetric

Hermition

Skew-symmetric

None

Roots of the equation 2x²- 7x + 3 = 0 are

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Rational

Irrational

Complex

None of these

The value of the expression 3 cosθ+ 4 sinθθlie between

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-7 and 7

-25 and 25

-1 and 1

-5 and 5

If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a

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Constant function

Variable value

Function of upper limit

All

Cos 60° = ______

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1

2

1/2

3

The value of i⁴ⁿ⁺¹

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1

-1

i

i²

Number of terms in the expansion of (a+x)ⁿis

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n - 1

n + 1

n + 2

n + 3

If A and B are two sets then any subset R of A x B is called

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relation on A

relation on B

relation from A to B

relation from B to A

The eccentricity of parabola is:

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1

0

Greater than 1

Less than 1

If a and b are real numbers then a+b is also real number this law is called

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associative law of addition

closure law of addition

Distributive law of addition

Commutative law of addition

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Y = -x log x -x + c

Y = x log x + x

Y = x log x - x + c

None of these

The area of the rhombus whose vertices are A(0,0),B(2,1),C(3,3),D(1,2) is

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36 square units

3 square units

6 square units

18 square units

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Linear equation

Quadratic equation

Cubic equation

None of these

If f(x) = ax², and a>0, then the lowest point on the parabola is called.

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Vertex of parabola

Co-ordinates of parabola

Roots of the equation

Coefficient of the equation

The point of concurrency of the medians of a triangle is called

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incentre

circumcentre

e-centre

centroid

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