Question # 1

The intercepts of the plane 2x - 3y + 4z = 12 on the co-ordinate axes are given by

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2, -3, 4

6, -4, -3

6, -4, 3

3, -2, 1.5

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xa^x-1

a^x

x in a

a^xIn a

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2x

3x²

1

0

The set of natural is a semi group w.r.t

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Addition

Division

Subtraction

None of these

The quadratic equation 8 sec2θ - 6 secθ +1 =0 has

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Infinitely many roots

Exactly two roots

Exactly four roots

No roots

24 can be written as a product of

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Odd factors

Even factors

Whole factors

Prime factors

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0

1

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If f (x) = |x|, then (0,0) is the

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Critical point

Inflection point

Stationary point

None of these

The numbers of G₁, G₂, G₃...... G_nare called n geometric means between a and b is a, G₁, G_2,G₃, ... G_n, b are in

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H.P.

A.P.

G.P.

None of these

∫x sin xdx is equal to:

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sin x/x + cos x

sin x - cos x/x

x cos x + sin x

- x cos x + sin x

Which of the following is not a solution of system of inequalities 2x- 3y ≤6,2x +y≥ 2,x +2y≤ 8, x≥ 0,y ≥ 0

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(1,0)

(0,4)

(3,0)

(8,0)

The condition for polynomial equation ax2 + bx + c = 0 to be quadratic is

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a > 0

a < 0

a≠ 0

a≠ 0,b ≠ 0

If n is a negative integer n! is

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1

0

Unique

Not defined

What is the conjugate of -7 -2i ?

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-7 + 2i

7 +2i

7 -2i

√53

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Rational fraction

Proper fraction

Improper rational fraction

None of these

Onto function is also called

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Binjective function

Injective function

Surjechive function

None of these

If A = [aij]mxpand B =[aij]pxnthen order of BA is

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m x n

p x n

n x m

None of these

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Sine rule for a triangle states that

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a/sin A = b/sin B = c/sin C

sin A/a = sin B/b = sin C/c

a/sin A + b/sin B + c/sin C

2a/sin A = 2b/sin B = 2c/sin C

The number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

H.P.

None of these

cotθ= sin 2θifθ=

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The point of concurrency of the medians of the ΔABC is called its

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Orthocenter

Centriod

Circumcentre

Incentre

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0

1

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The set of the first elements of the ordered pairs forming a relation is called its

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Function on B

Range

Domain

A into B

The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

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An expression

Rational fraction

Equation

Identity

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2

7

8

12

If A is an event then which of the following is true

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P(A)<0

0≥P(A)≤1

P(A)>0

None

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