Question # 1

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0

In equation of circle, coefficient of each of x² and y² are:

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Not equal

Opposite in signs

Equal

None of these

Two non parallel lines intersect each other at:

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1 point

2 points

3 points

4 points

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sec x tan x

- sec²x

-sec x tan x

sec²x

Let f(x) = cos x, then f(x) is an:

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Even function

Odd function

Power function

None of these

An integral of 3x² is:

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x³+c

3

6x

x^2+c

The small change in the value ofx, positive or negative is called the -------- of x.

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Increment

Differential

Derivative

none of these

The equation to the straight line which passes through the point (2, 9) and makes an angle of 45° with x-axis is:

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x + y + 7 = 0

x - y + 7 = 0

y - x + 7 = 0

None of these

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

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

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Constant

Explicit

Exponential

Inverse

If the focus lies on the x-axis with coordinates F(a, 0) and directrix of the parabola is = - a then the equation of parabola is:

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x² = 4ay

y²= 4ax

-x²= 4ay

-y²= 4ax

i.(j.k) =

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Meaningless

-1

1

2

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sech x tanh x

-sech x tanhx

sech² x

-sech²x

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e^-x sin x + c

-e^-x sin x + c

e^-xcosx + c

-e^-xsin x + c

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

y² = 4ax, is the standard equation of the:

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Ellipse

Parabola

Hyperbola

None of these

If (1, x) is the mid point of the line segment joining the points (1, 2) & (1, 6) then x =

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1

2

3

4

If the upper limit is a constant and the lower limit is a variable, then the integral is a function of:

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x

y

lower limit

upper limit

Perpendicular dropped from the center of a circle on a chord _______ the chord:

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Normal

Bisects

Equal to

None of these

The system of _________ involved in the problem concerned is called problem constraints:

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Linear inequalities

Equations

Linear equalities

None of these

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

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