Question # 1

Equation of a line parallel to x-axis:

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x = 0

x = y

y = a

x = a

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

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x-axis

y = x

y-axis

None of these

If the degree of a polynomial function is ------------, then it is called a linear function:

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0

1

2

3

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 center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

Let f(x) = x³ + sin x, then f(x) is:

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Even function

Odd function

Power function

None of these

y = b is a horizontal line parallel to _________:

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x - axis

x - axis may be

y - axis

None of these

Which one is a constant function ?

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f(x) = x²

f(x) = x

f(x) = x + 1

f(x) = 14

Cosh² x - Sinh² x =

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1

-1

2

-2

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

The graph of the the parabola x² = 4ay lies in quadrant:

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I and II

III and IV

II and III

I and III

Which one is an exponential function ?

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If (2, 1) is the mid point of the line segment joining the points (2, x) & (2, -5) then x =

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1

2

7

-7

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

The condition for the line y = mx + c to be a tangent to the circle x² + y² = a² is c = _____________:

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a

2b

b

2a

The conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

The point of intersection of internal bisectors of the angles of a triangle is called:

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Centroid

Ortho-centers

Circums-center

In-center

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There are _______ feasible solutions in the feasible region:

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Finitely

Two

Infinitely many

Three

The centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2) is:

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(-2, -2)

(-2, 2)

(2, -1)

(0, 0 )

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