Question # 1

If the lines 2x-3y-1=0,3x-y-5=0 and 3x+py+8=0 meet at a unique point then

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p = -14

p = -1

p =0

p=12

If |a x b|2 + (a,b)2 = _____

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|a|2 + |b|2

|a|2- |b|2

|a|2|b|2

None

sin[cot^-1{cos(tan^-1x)}]=

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If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to

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1

4

2

8

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

Write the first four terms of the sequence if a_n= (-1)ⁿn²

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-1, 4, -9, 16

1, -4, 9, 16

1, 4, 9, 16

None of these

If A is such that a,A,B are in A.P then A is called

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A.M

Common ratio

Common difference

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 number of terms in the expansion of (a + b)⁹is

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10

11

9

12

(7, 9) + (3, -5) =

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(4, 4)

(10, 4)

(9, -5)

(7, 3)

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

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1

2

3

4

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3/8

7/8

1/8

None

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A prime number

An integer

A whole number

An irrational number

r + 3 >5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 = 4

None

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

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In-circle

Circum circle

Escribed circle

None of these

The distance between the points (1, 2) and (2, 1) is

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3

6

If nis positive integers, then 2ⁿ>2n+1, only when

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n≤ 3

n≥ 3

n≤ 2

n≤ 1

A square is inscribed in the circle x²+ y²- 2x + 4y + 3 =0. Its sides are parallel to the co-ordinate axes. Then one vertex of the square is

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The complement of set A relative to universal set U is the set

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{x / x∈ A∧ x∈ U}

{x / x∉ A∧ x ∈ U}

{x / x∈ A and x ∉ U}

A-U

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

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Real and equal

Real and distinct

Complex

None of these

The coordinates of the point that divides the join of A(-6,3) and B(5, -2) in the ratio 2:3 internally

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If z₁ = 1 + 2i, z₂ = 3 + 4i then

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z₁ > z₂

z₁ = z₂

z₁ < z₂

None of these

Multiplicative inverse of "1" is

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0

±1

1

{0,1}

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The sum of coefficients in the binomial expansion equals to

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2

2ⁿ⁺¹

2^n-1

2ⁿ

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If f(x) = x²then f(0) is

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0

1

2

none of these

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Always negative

Zero

Always positive

Infinity

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