Question # 1

The point (2, 5) lies the lie 3x - y + 1 = 0

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Above

Below

On

None

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

The horizontal line x' ox is called:

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x-axis

y-axis

abscissa

ordinate

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cosec x + c

-cosec x + c

cot x + c

- cot x + c

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The line y = a is below the x-axis, if:

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a > 0

a < 0

a = 0

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

A corner point is the point of intersection of:

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x-axis & y - axis

Boundary lines

Any two lines

None

The length of the latus rectum of the parabola y² = 4ax is:

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a

4a

2a

None of these

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Parallel lines

Perpendicular lines

Non-parallel lines

None of these

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domain

range

lower limit

upper limit

The vertex of the parabola y² = -4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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1

0

The ratio in which x-axis divides the line segment joining the points:

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1 : 1

1 : 3

1 : 5

1 : 2

If r is the radius of the circle and its center is at origin, then equation of circle is:

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x² + y² = a²

x² + y² = r²

x² - y² = a²

x² - y² = r²

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

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x-axis

y = x

y-axis

None of these

The Maclaurin series expansion is valid only if it is:

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Convergent

Divergent

Increasing

Decreasing

If a circle and a line intersect in two points, then the line is called:

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A chord

A secant

A diameter

None of these

The centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2) is:

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(-2, -2)

(-2, 2)

(2, -1)

(0, 0 )

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x - axis

z - axis

y - axis

None of these

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