Question # 1

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tan x + c

- tan x + c

sec x tan x + c

- sec x tan x + c

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0

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Volume of the tetrahedron

Volume of the parallelepiped

Volume of the triangle

None of these

Two imaginary 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

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

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I and II

III and IV

II and III

I and III

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

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Undefined

3a²

a²

0

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

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|CP| < r

|CP| > r

|CP| = r

None of these

The vertical line y'oy is called:

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x-axis

y-axis

abscissa

Ordinate

A pair of lines of homogeneous second degree equation ax² + 2hxy + by² = 0 are othogonal, if:

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a - b = 0

a + b = 0

a + b > 0

a - b < 0

x = 3 cos t, y = 3 sin t represent

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Line

Circle

Parabola

Hyperbola

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Unit vector

Null vector

Position vector

None of these

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

If the equation of the parabola is y² = - 4ax, then opening of the parabola is to the ______ of the y-axis:

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Left

Upward

Right

Downward

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domain

range

lower limit

upper limit

The feasible region is ________ if it can easily by enclosed within a circle.

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Bounded

Exist

Unbounded

None of these

If y = f(u) and u = F(x), then:

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The distance between two points P₁ (x₁, y₁) and P₂ (x₂, y₂) on the co-ordinate plane is given by:

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A line segment having both the end-points on a circle and not passing through the center is called a:

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A chord

A secant

A diameter

None of these

If equation of circle is (x - h)² + (y - k)² = r², then center of a circle:

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(-h, -k)

(h, k)

(-h, k)

(h, -k)

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