Question # 1

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Left or right

Upper or lower

Open

None of these

The line l is horizontal if and only if slope is equal to:

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0

1

2

undefined

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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x with respect to y

y with respect to y

y with respect to x

x with respect to x

The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

Which of the following is a vector quantity ?

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Work

Temperature

Distance

Displacement

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Scalar

Free vector

Unit vector

Null vector

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Above

Left

Below

Right

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ln |sec x + tan x | + c

ln |cosec x - cot x | + c

ln |sec x - tan x | + c

ln |cosec x + cot x | + c

The distance of any point P (x, y) from the origin O(0 , 0) is given by:

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-cosec x cotx

cosec² x

-cosec²x

cosec x cotx

The graph of the parabola y² = -4ax is symmetric about:

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x-axis

major axis

y-axis

minor axis

A region, which is restricted to the ________ quadrant, is referred to as a feasible region for the set of given contraints.

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First

Third

Second

Fourth

The graph of the parabola y² = -4ax lies in quadrants:

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I and II

III and IV

II and III

I and III

Point of intersection of lines x - 2y + 1 = 0 and 2x - y + 2 = 0 equals:

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(1, 0)

(0, 1)

(-1, 0)

(0, -1)

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1 (1 - 4)

2x - 3

x - 3

x³ - 3x

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

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Positive

Negative

Zero

undefined

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

Length of tangent from (0,1) to x² + y² + 6x - 3y + 3 = 0

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2

1

4

3

The focus of the parabola x2=-4ay is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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