Question # 1

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

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The area of sector with central angle of 1 radian in a circular region whose radius is 2m is

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0.5m2

2m2

1m2

4m2

Ifπ≤x≤2π, then cos-1 (cos x)=

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cos x

-x

1/x

-x

Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a, b and c

The roots of the equation ax²+ bx + c = 0 are real and equal if

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

If n is any positive integer then n! > 2^n-1for

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If sin A = cos A, 0°<A<90° then A is equal to

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1

1/2

0

None of these

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If a₁and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is

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0

a₁r^n-1

a₁rⁿ⁺¹

a₁rⁿ

If n is any positive integer then n! > n²for

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A circle drawn inside a triangle and touching its sides is called ______;

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Circumcirle

Incircle

Escribed circle

unit circle

The range of y=x2 + 1 is the set of non-negative real numbers except

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0≤ y < 1

0 < y < 1

0≤ y≤ 1

0 < y≤1

Sin 50°-sin 70°+sin 10° is equal to

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1

0

1/2

2

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Associative property of addition

Associative property of multiplication

Commutative property of addition

Commutative property of multiplication

(51)⁴is equal to

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7065201

8065201

6765201

6565201

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none of these

The multiplicative inverse of -1 in the set {1-,1} is

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1

-1

±1

0

Does not exist

The 6th term of the sequence 7,9,12,16......is

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27

32

20

19

A non-terminating non_recurring decimal represents an

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Irrational no

Both a & c

Rational no

None of these

If f (x)=a0 +a1x+a2x2+a3x3-----+0n-1xn-1+anxn then f(n) (x) is equal to

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n!

ann!

0

an

The function {f(x,y)|y = ax2 +bx +c} is

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One-one function

Constant function

Onto function

Quadratic function

An expression involving any of the symbols <,>,< or > is called

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equation

inequality

linear equation

identity

If 2 tan¹(cos x) = tan^-1(cosec²x), then x is equal to

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π/ 3

π/ 2

π/ 6

π

The polynomial x - a is a factor of the polynomial f(x) if and only if

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f(a) is positive

f(a) is negative

f(a) = 0

None of these

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Domain of cot x is ______

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sec 5x + c

- sec 5x + c

The point of concurrency of the right bisectors of the sides of a triangle is called

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incentre

circum center

e-center

centroid

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ab=-1

ab = 1

ab = 2

None

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2x - 3x + c

x²- 3x + c

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