Question # 1

The eccentricity of the conic 9x²- 16y²= 144 is

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4/5

5/4

4/3

3/4

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11

61

1

Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is

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k = 9

k = ±9

k=-9

k=11

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If (a, b) is the mid-point of a chord passing thro' the vertex of the parabola y²= 4x, then

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a = 2b

2a = b

a²= 2b

2a = b²

The directrix of y2 =-4ax is

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y =-a

y = a

x = a

x = -a

Two circle s1: x2+ y2 +2x- 2y- 7= 0: s2: x2+ y2- 6x+ 4y+ 9= 0

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Touch externally

Touch internally

Intersects each other

Do not intersects

If t is the parameter for one end of a focal chord of the parabola y²= 4ax, then its length is

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The straight line passing through the focus and perpendicular to the directrix of the conic is known as its

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Tangent

axis

Focal chord

major or manor axis

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The equation of the circle with centre (h, k) and radius r is

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(x+ h)²+ (y+ k)²= r²

(x+ h)²+ (y - k)²= r²

(x - h)²+ (y+ k)²= r²

(x - h)²+ (y - k)²= r²

Latus rectum = 4 x ______________

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focal distance of the vertex

Chord

Focus

1/2

The distance of point P(x,y) from focus in a parabola

y² =4ax, is:

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2a

a

x + a

x-a

If the line 2x -y +k =0 is a diameter of the circle x2 +y2 +6x -6y +5 =0 then k is equal to

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12

9

6

3

The two different parts of the hyperbola are called its

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Vertices

Directrices

Nappes

Branches

The equation ax²+ 2hxy + by²+2gx + 2fy + c =0 represents an ellipse if

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If a plane passes through the vertex of a cone then the intersection is

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an ellipse

a hyperbola

a point circle

a parabola

The axis of the parabola y²= 4ax is

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X = 0

Y = 0

X = y

X = -y

A line segment whose end points lie on a circle is called

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the secant of the circle

the arc of the circle

the chord of the circle

the circumference of the circle

The equation of the circle with centre (-h, -k) and radius r is

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(x +h)²+ (y+k)²= r²

(x +h)²+ (y-k)²= r²

(x -h)²+ (y+k)²= r²

(x -h)²+ (y-k)²= r²

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ECAT Pre General Science Mathematics Chapter 23 Conic Section Online Test MCQs With Answers

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