Question # 1

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At

Not on

On

None of these

If the inclination of the line l lies between ]0°, 90°[, then the slope of l is:

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Positive

Negative

Undefined

None of these

The coordinate axes divide the plane into------------ equal parts:

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1

2

3

4

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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

A quadrilateral having two parallels and two non-parallel sides is called:

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Trapezium

Rectangle

Rhombus

None of these

f(x) is odd function. If and only if:

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f(-x) = -f(x)

f(-x) = f(x)

f(x) = 3f(-x)

f(x) = -3f(-x)

cosh^-1x =

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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

The inequality y > b is the open half plane to the ______ of the boundary line y = b:

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Above

Left

Below

Right

If y is an image of x under the function f, we denote it by:

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x = f(y)

x = y

y = f(x)

f(x, y) = c

The inequality x < a is the open half plane to the __________ of the boundary line x = a:

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Above

Left

Below

Right

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x = c is a vertical line parallel to __________.

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x-axis

y-axis may be

y-axis

None of these

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Open

Closed

Open as well as closed

None of these

The equi. of latus-rectum of the parabola y² = -4ax is:

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x = a

x = -a

y = a

y = -a

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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2 : 3

2 : 5

1 : 2

3 : 5

The Maclaurin series expansion is valid only if it is:

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Convergent

Divergent

Increasing

Decreasing

The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

The line x = a is on the right of y - axis if:

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a > 0

a < 0

a = 0

If 2 and 2 are x and y-components of a vector, then its angle with x-axis is:

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30°

45°

60°

90°

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