Question # 1

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c = 0

c = -1

c = -2

c = 1

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2

4

3

16

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A parabola

An ellipse

A hyperbola

A circle

The line y =mx +1 is tangent to the parabola y2 =4x if

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m=1

m=2

m=3

m=4

The point which is closet to the focus of a parabola is:

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vertex

Chord

Focus

Directix

The area of the circle centred at (1,2) and passing through (4,6) is

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30 πsq.units

5π sq.units

15π sq.units

25π sq.units

Conic sections or simply conics are the curves obtained by cutting a right circular cone by

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a line

two lines

a plane

two planes

If (x₁, y₁) and (x₂,y₂) are the end points of a diameter then the centre of the circle is

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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

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none of these

Number of conics is

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1

3

2

4

The tangents drawn from the point P to a circle are real and distinct if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

If (0, 0) and (1, 0) are the end points of a diameter, then the equation of the circle is

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6

20

0

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 centre of the conic x2 +16x +4y2 -16y +76 =0 is

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(0,10)

(-8,4)

(-8,-2)

(1,1)

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none of these

An ellipse slides between two lines at right angles to one another. The locus of its centre is :

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a parabola

an ellipse

a circle

a hyperbola

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What is the axis of the parabola y²= 4ax?

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x = 0

y = 0

x = a

y = 0

Circumcentre of the triangle, whose vertices are (0, 0), (6, 0) and (0, 4) is

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(2, 0)

(3, 0)

(0, 3)

(3, 2)

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

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The equation of the circle with centre origin and radius r is

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x²+ y²= 1

x²+ y²= r²

x²+ y²= 0

x²- y²= r²

Equation of the chord of contact to the tangents drawn from (-3,4) to the circle x2 + y2 = 21

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-3x + 4y =21

4x - 3x = 0

-3x + 4y = 25

None of these

The parabola y2 + 2y + x = 0 lie in _____ quadrant.

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First

Second

Third

Fourth

Equation of parabola with focus F(-3,1) directrix x=3 is

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(y -1)2 =-12x

(y-1)2 =4x

(x+3)2 =4a(y-1)

y2 =-12(x-1)

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The line through the centre and perpendicular to the transverse axis is called the

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Major axis

Minor axis

Focal axis

Conjugate axis

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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