Question # 1

The function f(x) = 3x² has minimum value at :

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x = 3

x = 2

x = 1

x = 0

y-coordinate of any point on X-axis:

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0

x

y

1

If equation of circle is (x - h)² + (y - k)² = r², then center of a circle:

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(-h, -k)

(h, k)

(-h, k)

(h, -k)

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sinh x

cosh x

-sinh x

-cosh x

An integral of 3x² is:

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x³+c

3

6x

x^2+c

For any point (x, y) and y - axis:

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y = 0

y = -1

y = 1

x = 0

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Unit vector

Null vector

Free vector

None of these

Joint equation of y + 2x = 0, y - 3x = 0 is:

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(y+2x)(y-3x) = 0

(y-2x)(y-3x) = 0

(y+2x)(y+3x) = 0

(y-2x)(y+3x) = 0

Point of intersection of lines x - 2y + 1 = 0 and 2x - y + 2 = 0 equals:

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(1, 0)

(0, 1)

(-1, 0)

(0, -1)

ax + by + c = 0 has matrix from as:

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|ax + by| = |-c|

[ax + by ] = [c]

[ax - by] = [-c]

Two real and distinct tangents can be drawn to a circle from any point P(x₁, y₁) ______ the circle:

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Inside

On

Outside

None of these

The range of the function f(x) = |x|

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A point of a solution region where two of its boundary lines intersects is called a __________ point of the solution region:

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Maximum

Corner

Minimum

None of these

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Let f(x) = x², then range of f is the set of all:

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Real numbers

Non-negative real numbers

Non-negative integers

Complex numbers

Two vectors are equal if they:

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Pass through the same point

Are parallel to each other

Are parallel to each other and have same direction

Have equal magnitude and have same direction

The axis of the parabola x² = -4ay is:

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x = a

x = 0

y = a

y = 0

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0

2

3

1

Which one is an exponential function ?

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A region, which is restricted to the ________ quadrant, is referred to as a feasible region for the set of given contraints.

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First

Third

Second

Fourth

y = 2x + 3 is the;

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Slope-intercept form

Two points form

Point slope form

Intercepts form

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