Question # 1

The ratio in which the line segments joining (2, 3) and (4, 1) is divided by the line joining (1, 3) and (4, 3) is:

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2 : 1

3 : 1

1 : 2

1 : 1

The axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

y = -a

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

The perpendicular distance of the line 3x + 4y + 10 = 0 from the origin is:

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0

1

2

3

The technique or method to find such a function whose derivative is given involves the inverse process of differentiation called:

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Differentiation

Integration

Differential

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

The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

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Euler

Cauchy

Leibniz

Newton

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

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Ellipse

Parabola

Hyperbola

None of these

A corner point is the point of intersection of:

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x-axis & y - axis

Boundary lines

Any two lines

None

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

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x

y

lower limit

upper limit

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Even

Odd

One-one

Zero

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

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x = a

x = 0

y = a

y = 0

Which one is an exponential function ?

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y-coordinate of any point on X-axis:

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0

x

y

1

Equation of axis of the parabola x² = 4ay is:

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x = 0

x = a

y = 0

y = a

y = 2x + 3 is the;

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Slope-intercept form

Two points form

Point slope form

Intercepts form

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0

2

3

1

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4

2

1

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90°

30°

60°

0°

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sec x tan x

sec²x

-sec x tan x

-sec²x

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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