Conic Section Test

Result

Conic Section Test - 15

Score
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Rank
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Weekly Quiz Competition

Question 1
4 / -1

The equation of the directrix of the parabola x² + 8y - 2x = 7 is

A
y = 3

B
y = -3

C
y = 2

D
y = 0
Question 2
4 / -1

If the eccentricity of a hyperbola is √3, then eccentricity of its conjugate hyperbola is

A
√2

B
√3

C

D
2√3
Question 3
4 / -1

A
1/√3

B
1/4

C
1/2

D
1/√2
Question 4
4 / -1

If the line y - √3x + 3 = 0 cuts the parabola y² = x + 2 at A and B, then PA. PB is equal to [where, P = (√3, 0)]

A

B

C

D

Solution
Question 5
4 / -1

A
9

B
7

C
11

D
5
Question 6
4 / -1

A
x² + y² - 6y - 7 = 0

B
x² + y² - 6y + 7 = 0

C
x² + y² - 6y - 5 = 0

D
x² + y² - 6y + 5 = 0
Question 7
4 / -1

A
1

B
5

C
7

D
9

Solution
Question 8
4 / -1

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

A
0

B
π/6

C
π/4

D
π/3
Question 9
4 / -1

A
√2/2

B
√3/2

C
1/2

D
3/4
Question 10
4 / -1

Let S be the focus of the parabola y² = 8x and PQ be the common chord of the circle x² + y² - 2x - 4y = 0 and the given parabola. The area of ∆OPS is

A
6 sq units

B
16 sq units

C
4 sq units

D
64 sq units