Question # 1

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sinh x

cosh x

-sinh x

-cosh x

Cosh² x + Sinh² x =

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Cosh x²

Cosh 2x

Sinh 2x

Tanh 2x

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0

4

7

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Position vector

Null vector

Unit vector

None of these

Angle between the lines x + y + 1 = 0 & x - y + 4 = 0 is:

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30°

45°

60°

90°

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

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90°

30°

60°

0°

The vertex of parabola (x - 1)² = 8 (y + 2) is:

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(1, -2)

(0, 1)

(-1, -2)

(1, 2)

For any point (x, y) on x-axis:

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y = 1

y = 0

y = -1

y = 2

The centroid of a triangle is a point that divides each median in the ratio:

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2 : 1

2 : 3

1 : 3

4 : 3

y - ordinate of the centroid of triangle with vertices A(-2, 3) B(-4, 1), C(3, 2) is:

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3

1

2

0

The center of circle x² + y² + 2gx + 2fy + c = 0 is:

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

y = mx + c is the equation of straight line in:

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Slope-intercept form

Two points from

Point slope form

Intercepts form

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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Constant function

Absolute linear function

Linear function

Quadratic function

If y = x² + 1 _______________ x changes from 3 to 3.02 then dy = __________

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0.1204

.12

.02

1.2

The derivative of x with respect to y is given by:

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Length of tangent from (a, 0) to the circle x² + y² + 2gx + 2fy + c = 0 is:

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c

2g + 2f -c

None

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cosech x coth x

-cosech²x

-cosech x coth x

cosech²x

The curves obtained by cutting a __________ double right circular cone by a _______ are called conics:

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Straight line

Plane

Curve

None of these

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Unit Vector

Null vector

Position vector

None of these

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