Question # 1

Point of intersection of x + y = 5 & x - y = 3 is:

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

The ratio in which the line segments joining (2, 3) and (4, 1) is divided by the line joining (1, 3) and (4, 3) is:

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2 : 1

3 : 1

1 : 2

1 : 1

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sinh x

cosh x

-sinh x

-cosh x

The opening of the parabola x²= 16y is to __________ of the x-axis:

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Left

Upward

Right

Downward

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

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

x = 4 is a line:

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Parallel to x - axis

Parallel to y - axis

Perpendicular to y-axis

None of these

The point of a parabola which is closest to the focus in the:

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Directrix

Vertex

Focus

Chord

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Integration by parts

Definite integral

Differentiation

None of these

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1

2

3

0

A function, in which the variable appears as exponent (power), is called a / an -------- function.

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Constant

Explicit

Exponential

Inverse

Zero vector is perpendicular to:

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Every vector

Unit vector only

Position vector only

Not any vector

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies outside the circle only if:

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|CP| < r

|CP| = r

|CP| > r

None of these

Inclination of X-axis or of any line parallel to X-axis is:

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Zero

Undefined

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0

1

e

Does not exist

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0

1

-1

2

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2

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

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The area A of a circle as a function of its circumference C is:

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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

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

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