Question # 1

x = c is a line:

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Perpendicular to x-axis

Parallel to x-axis

Perpendicular to y-axis

None of these

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0

2

1

3

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

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Position vector

Null vector

Unit vector

None of these

The focus of the parabola y²=4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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°

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

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Parabola

Hyperbola

Ellipse

None of these

For different values of k, the equation 4x + 5y = k represents lines ______ to the line 4x + 5y = 0.

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Perpendicular

Parallel

Equal

None of these

f (x) = x secx, then f(0)=

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-1

0

1

Cosh² x - Sinh² x =

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1

-1

2

-2

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

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x = 3

x = 2

x = 1

x = 0

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At

Not on

On

None of these

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4, -4

0

2, -2

0, 4

y-coordinate of any point on X-axis:

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0

x

y

1

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0

1

2

4

A quadrilateral having two parallels and two non-parallel sides is called:

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Trapezium

Rectangle

Rhombus

None of these

The ordered pair _____ is a solution of the inequality x + 2y < 6.

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(3, 3)

(1, 1)

(4, 4)

(5, 5)

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Unit vector

Null vector

Position vector

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

The line y = c is above the x - axis, if:

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c > 0

c < 0

c = 0

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

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