Question # 1

y = -2 is a line:

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Parallel to x-axis

Parallel to y-axis

Perpendicular to x-axis

None of these

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Volume of the tetrahedron

Volume of the parallelepiped

Volume of the triangle

None of these

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1

2

3

0

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x = a

for all x

x = 0

A pair of lines of homogeneous second degree equation ax² + 2hxy + by² = 0 are othogonal, if:

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a - b = 0

a + b = 0

a + b > 0

a - b < 0

x = c is a line:

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Perpendicular to x-axis

Parallel to x-axis

Perpendicular to y-axis

None of these

The opening of the parabola y² = -4ax is to the left of the:

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x-axis

x = 1

y-axis

x = 0

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 focus of the parabola x² = 4ay:

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(0, a)

(-a , 0)

(0, -a)

(a, 0)

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0

1

-1

2

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

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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 conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

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Position vector

Null vector

Unit vector

None of these

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f(x) = sin x + cos x is ------------ function:

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Even

Odd

Composite

Neither even nor odd function

For different values of k, the equation 4x + 5y = k represents lines ______ to the line 4x + 5y = 0.

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Perpendicular

Parallel

Equal

None of these

X-coordinate of any point on Y-axis:

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0

x

y

1

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

Which of the following is a vector quantity ?

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Work

Temperature

Distance

Displacement

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)

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