Question # 1

If the lien l is parallel to y-axis, then the slope of l is ----------------.

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0

1

-1

undefined

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tan x + c

-tan x + c

sec x + c

-sec x + c

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0

1

-1

2

If y = sin x then dy =

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cosy dx

cos x

cosx dx

cos xdy

If y = (x), then the variable x is called --------- variable of a function f.

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Dependent

Independent

Image of y

None of these

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Free vector

Unit vector

Null vector

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 inclination of a line lies between ]90°, 180°[, then the slope of line is :

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Positive

Negative

Zero

undefined

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equal to each other

not equal to each

nearly equal to each other

none of these

If the directed distances AP and PB have same signs, then their ratio is positive and P is said to divide AB:

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Internally

May be divide

Externally

None of these

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

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a

4a

2a

None of these

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

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

Joint equation of y + 2x = 0, y - 3x = 0 is:

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(y+2x)(y-3x) = 0

(y-2x)(y-3x) = 0

(y+2x)(y+3x) = 0

(y-2x)(y+3x) = 0

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At

Not on

On

None of these

(1, 0) is the solution of inequality :

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7x + 2y < 8

x - 3y < 0

3x + 5y > 6

-3x + 5y > 2

There are _______ ordered pairs that satisfy the inequality ax + by > c.

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Finitely many

Two

Infinitely many

Four

the focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

Equation of a line parallel to x-axis:

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x = 0

x = y

y = a

x = a

An integral of 3x² is:

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x³+c

3

6x

x^2+c

The equation of a straight line which parallel to the line 3x - 2y + 5 = 0 and passes through (2, -1) is:

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3x + 2y - 8 = 0

3x - 2y + 8 = 0

3x - 2y - 8 = 0

3x + 2y + 8 = 0

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4

Does not exist

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