Conic Section Test

Result

Conic Section Test - 40

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A
(3, –4), (13, 4)

B
(–3, –4), (13, –4)

C
(3, 4), (–13, 4)

D
(5, –8), (–5, 8)

Solution
Question 2
4 / -1

If the parabola y² passes through the point (1, –2), then the tangent at this point is

A
x + y – 1 = 0

B
x – y – 1 = 0

C
x + y + 1 = 0

D
x – y + 1 = 0

Solution
Question 3
4 / -1

The equation of the tangent to the parabola y² = 16x, which is perpendicular to the line y = 3x + 7 is

A
y – 3x + 4 = 0

B
3y – x + 36 = 0

C
3y + x – 36 = 0

D
3y + x + 36 = 0

Solution
Question 4
4 / -1

A

B

C

D

Solution
Question 5
4 / -1

A
y = x + 1

B
y = x + 2

C
y = x – 2

D
y = –x + 2

Solution
Question 6
4 / -1

A
A straight line

B
A circle

C
A parabola

D
Two straight lines

Solution
Question 7
4 / -1

The line x – y + 2 = 0 touches the parabola y² = 8x at the point

A
(2, –4)

B

C

D
(2, 4)

Solution
Question 8
4 / -1

The tangent to the parabola y² = 4ax at the point (a, 2a) makes with x-axis an angle equal to

A

B

C

D

Solution
Question 9
4 / -1

The coordinates of a moving point P are (2t² + 4, 4t + 6). Then its locus will be

A
Circle

B
Straight line

C
Parabola

D
Ellipse

Solution
Question 10
4 / -1

The equation of the tangent to the parabola y² = 9x which goes through the point (4, 10) is
a. x + 4y + 1 = 0
b. 9x + 4y + 4 = 0
c. x – 4y + 36 = 0
d. 9x – 4y + 4 = 0

A
c and d

B
only c

C
only b

D
only a

Solution