Question # 1

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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2 : 3

2 : 5

1 : 2

3 : 5

The coordinate axes divide the plane into------------ equal parts:

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1

2

3

4

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

The pair of lines of homogeneous second-degree equation ax² + 2hxy + by² = 0 are real and coincident, if:

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h² < ab

h²> ab

h²= ab

None of these

The function y = ln x is a/an -------------- function of x.

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Constant

Explicit

Exponential

Logarithmic

Sir Isaac Newton was a(an) --------- mathematician.

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German

French

Swiss

English

A line segment joining two distinct points on a parabola is called a ___________ of the parabola:

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Chord

Vertex

Focus

Directrix

If (x, y) are the coordinate of a point ordered pair is called:

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Abscissa

Ordinate

Coordinate

Ordered pair

y - y1 = m ( x - x1) is the equation of straight line in:

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Slope-intercept from

Point-slope from

Normal form

Intercepts form

A function P(x) = 6x⁴ + 7x³ + 5x + 1 is called a polynomial function of degree -------- with leading coefficient -------.

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4, 6

2, 7

2, 3

2, 5

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cosech x coth x

-cosech²x

-cosech x coth x

cosech²x

General form of equation of line is:

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ax - by + c = 0

ax + by - c = 0

ax + by + c = 0

ax - by - c = 0

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Undefined

3a²

a²

0

The fixed point of the conic is called:

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Directrix

Vertex

Focus

None of these

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

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x = a

x = 0

y = a

y = 0

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(1, 1)

(1, 3)

(1, 4)

(1, 5)

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-cosec x cotx

cosec² x

-cosec²x

cosec x cotx

The point of intersection of internal bisectors of the angles of a triangle is called:

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Centroid

Ortho-centers

Circums-center

In-center

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x = a

x = 2

x = 0

None

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4

Does not exist

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