Conic Section Test

Result

Conic Section Test - 26

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A
4x - 3y = ± 6√5

B
4x - 3y = ± √12

C
4x - 3y = ± √2

D
4x - 3y = ± 1
Question 2
4 / -1

The slope of tangents drawn from a point (4, 10) to the parabola y² = 9x, are

A

B

C

D
None of these
Question 3
4 / -1

The angle between the tangents drawn from the point (1, 4) to the parabola y² = 4x is

A
π/6

B
π/4

C
π/3

D
π/2
Question 4
4 / -1

The number of maximum normals which can be drawn from a point to ellipse is

A
4

B
2

C
1

D
3
Question 5
4 / -1

The value of m, for which the line y = mx + 2 becomes a tangent to the conic 4x² - 9y² = 36, are

A

B

C

D
Question 6
4 / -1

If the parabola y² = 4ax passes through the point (1, -2), then tangent at this point is

A
x - y - 1 = 0

B
x + y + 1 = 0

C
x - y + 1 = 0

D
None of these
Question 7
4 / -1

The line among the following which touches the parabola y² = 4ax, is

A
x + my + am³ = 0

B
x - my + am² = 0

C
x + my - am² = 0

D
y + mx + am² = 0
Question 8
4 / -1

From the point (-1, -6) two tangents are drawn to the parabola y² = 4x. Then, the angle between the two tangents is

A
30^o

B
45^o

C
60^o

D
90^o
Question 9
4 / -1

AB is a chord of the parabola y² = 4ax with vertex at A. BC is drawn perpendicular to AB meeting the axes at C. The projection of BC on the axis of the parabola is

A
2

B
2a

C
4a

D
8a

Solution
Question 10
4 / -1

A
focus

B
centre

C
end of the major axis

D
end of the minor axis