Question # 1

x = 4 is the solution of inequality:

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x + 3 > 0

x - 3 < 0

-2x + 3 > 0

x + 3 < 0

The graph of the parabola y² = -4ax is symmetric about:

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x-axis

major axis

y-axis

minor axis

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Parabola

Hyperbola

Ellipse

Circle

If (2, 1) is the mid point of the line segment joining the points (2, x) & (2, -5) then x =

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1

2

7

-7

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Parallel lines

Non-parallel lines

Perpendicular lines

Coplanar lines

A line that touches the curve without cutting through it is called:

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Straight line

Tangent line

Normal line

Vertical line

The center of circle x² + y² + 2gx + 2fy + c = 0 is:

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

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R

R - {2}

R - {2, -2}

R - {-2}

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0

2

1

3

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2

The small change in the value ofx, positive or negative is called the -------- of x.

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Increment

Differential

Derivative

none of these

The graph of the parabola x² = -4ay lies in quadrants:

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I and II

III and IV

II and III

I and III

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Continuous at x = 1

Not continuous at x = 1

Both a and b

none

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

Which are the following triples can be direction angles of a single vector:

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45°,45°,60°

30°,45°,60°

45°,60°,60°

30°,30°,30°

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0

1

2

4

Zero vector is perpendicular to:

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Every vector

Unit vector only

Position vector only

Not any vector

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sec x tan x

sec²x

-sec x tan x

-sec²x

The line x = a is on the right of y - axis if:

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a > 0

a < 0

a = 0

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a cosec (ax + b)

cot (ax + b)

cosh^-1x =

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