Question # 1

If x² + px + 1 is a factor of ax³+ bx +c, then

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a²+ c²= -ab

a²- c²= -ab

a²- c²= ab

None of these

Range of y = sec x is

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-1≤ y≤ 1

y≥ 1 or y≤ -1

y≤ 1or y≥ -1

-∞ < y < +∞

Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then

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A≠ C

B = C

A = B

A≠ B

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Associative law of multiplication

Commutative law of addition

Commutative law of multiplication

Associative law of addition

The tangent to the parabola y2 =4ax and perpendicular line from the focus on it meet

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x =0

y =0

x =-9

y = -a

The sum of even coefficient in the binomial expansion is

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2ⁿ⁺¹

2ⁿ

2^n-1

2n

The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is

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18

6

3

0

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If either A = 0 or B =0,then Ax2 +By2 +2Gx +2Fy +c =0 represents a

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Circle

Hyperbola

Ellipse

Parabola

The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

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120

100

140

160

A function whose range is just one element is called

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One-one function

Constant function

Onto function

Identity function

The number of x-intercepts of y= sin x in his period

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0

1

2

3

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none of these

Three numbers are chosen random without replacement from {1, 2, 3, ...., 10}. the probability that minimum of the chosen numbering is 3 or their maximum is 7

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7 / 40

5 / 40

11 / 40

None of these

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(x³- 3x²)⁸+ c

3x²- 6x + c

The general term in the expansion of (a+x)n is

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(r-1)th term

(r+1)th term

rth term

none

The equation |x +4| = x has solution

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x = -2

x = 2

x = -4

x = 4

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

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Parabola

Circle

Hyperbola

Ellipse

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The point on y²= 4ax nearest to the focus has its abciassae equal to

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-a

a

a/2

0

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Which of the following is skew symmetric matrix

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0

1

1/2

The axis of the parabola x² = 4ay is:

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y = 0

x = 0

x = -a

y = a

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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

Two tangents drawn from (2,3) to the circle x2+y2 =9 are

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Real and distinct

Imaginary

Real and coincident

None of these

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The probability that a slip of numbers divisible by 4 is picked from the slips of number 1,2,3,4,......10 is

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1/5

2/5

1/10

3/10

The term involving x⁴in the expansion of (3 - 2x)⁷is

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120

1512

1250

15120

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

sin 540° =

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0

1

2

3

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