Question # 1

A non-homogeneous linear system AX = B has no solution if

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|A| = 0

|A|≠ 0

Rank (a) = no of variables

Rank > no of variables

The number of tangents to the circle x2+ y2 -8x -6y +9 =0 which pass through the point (3,-2) is

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2

1

0

None of these

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A positive integer

A negative integer

A natural number

An irrational number

n!/(n-1)!=

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n

n!

(n-1)!

0!

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(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

The foot of perpendicular from (α,β,γ) only y-axis is

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(α, 0, 0)

(0,β, 0)

(0, 0, γ)

(0, 0, 0)

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2x cos x2

-2xcosxsinx

2x Sin x2

-Sin x2

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It is not possible to find the exact value of

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π

√9

∛27

√1

If ab > 0 and a < 0, which of the following is negative?

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b

-b

-a

(a - b)²

Which element is the additive inverse of (a, b) in Complex numbers?

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(a, 0)

(0, b)

(a, b)

(-a, -b)

Associative law of multiplication

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ab = ba

a(bc) = (ab) c

a(b+c) = ab + ac

(a + b)c = ac + bc

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1

2

-1

0

(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩C)

None of these

The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in

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A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45°. then which of the following statements is correct?

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Breadth of the river is twice the height of the tower

Breadth of the river an the height of the tower are the same

Breadth of the river is half of the height of the tower

None of these

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Principle of equality of fractions

Rule for product of fractions

Golden rule of fractions

Rule for quotient of fractions

If w+w2 is a root of (x+1)(x+2)(x+3)(x+4) = k, then

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k=0

k=1

k=w

k=w2

If one end of the diameter of the circle 2x²+ 2y²-8x - 4y = 2 = 0 is (2 ,3), the other end is:

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(2,1)

(-2,1)

(2,-1)

(1,-1)

The unit vector along y-axis is

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none of these

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16

None of these

The√ is used for the

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Positive square root

Negative square root

+ve and -ve square root

Whole number

The term involving x4 the expansion (3-2x)7 is

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217 x4

15120x4

313x4

-25x4

If P is a proposition then its negative is denoted by

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Cofactor of an element a_ijis defined by

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(-1)^i+j|A|

(-1)^i+jM_ij

(-1)^i+jM^-1

None of these

AB is a vertical pole and C is its middle point. The end A is on the level ground and P is any point on the level ground other than A. the portion CB subtends and angleβat P. If AP : AB = 2 : 1 thenβ=