Question # 1

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An equation of the form ax + by = k is homogeneous linear equation when

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b = 0, a = 0

a = 0,b ≠ 0

b = -0,a≠ 0

a≠ 0,b≠ 0, k = 0

A conditional "if p then q" is denoted by

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The exact value of cos^-1 (-1) + cos^-1(1) =

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π

-π

π/2

π/3

The general term of a sequence is denoted by

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a₁

a_n

n

s_n

cotθ= sin 2θifθ=

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If three unequal numbers p, q, r are in H.P. and their squares are in A.P., then the ration p : q : r is

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The radian measure of the central angle of an arc 50 m long on a circle of radius 25 m is

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3

2

1

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Natural numbers

Whole numbers

Integers

Rational numbers

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

If a, b, c are in A.P., then 3^a, 3^b, 3^care in

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A.P.

G.P.

H.P.

None of these

If A=B, then

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A⊂B and B⊂A

A⊆B and B⊈A

A⊆B and B⊆A

None of these

99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is

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9998

9999

10000

None of these

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Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a, b and c

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Principle of equality of fractions

Rule for product of fractions

Golden rule of fractions

Rule for quotient of fractions

For any positive integer n

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ABn = Bn A ⇔ AB = BA

ABn = Bn A⇔ A,B are square matrices and AB = BA

ABn = BnA⇔ A + B

ABn = BnA ⇔ A and B are square matries

sin(π/2+θ) = _______;

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sinθ

cosθ

-sinθ

-cosθ

The roots of the equation will be irrational if b²- 4ac is

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Positive and perfect square

Positive but not a perfect square

Negative

Zero

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The vertex of the standard position angles lies on

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(0,0)

(0,1)

(1,0)

(1,1)

The roots of px2 - (p-q)x-q=0 are

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equal

Irrational

Rational

Imaginary

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I andII quadrants

II andIII quadrants

III andIVquadrants

none of these

The distance of the point (2, -3) from x-axis is

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-2

-3

2

3

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n < 8/5

n < 5/8

|n| < 8/5

|n|>8/5

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The sum of co-efficient in (1+x-3x²)⁴¹⁶³is

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0

1

-1

None

If A is a set then any subset R of A x A is called

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relation on A

relation on B

relation from A to B

relation from B to A

A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP²+ CQ²+ CR²+ CS²=

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r²

2 r²

3 r²

4 r²

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