Conic Section Test

Result

Conic Section Test - 45

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

Equation of diameter of parabola y² = x corresponding to the chord x – y + 1 = 0 is

A
2y = 3

B
2y = 1

C
2y = 5

D
y = 1

Solution
Question 2
4 / -1

The area of the triangle formed by the lines joining the vertex of the parabola x² = 12y to the ends of its latus rectum is

A
12 sq,unit

B
16 sq. unit

C
18 sq. unit

D
24 sq. unit

Solution
Question 3
4 / -1

The area of triangle formed inside the parabola y² = 4x and whose ordinates of vertices are 1, 2 and 4 will be

A

B

C

D

Solution
Question 4
4 / -1

An equilateral triangle is inscribes in the parabola y² = 4ax whose vertices are at the parabola, then the length of its side is equal to

A
8a

B

C

D
None of these

Solution
Question 5
4 / -1

A

B

C

D

Solution
Question 6
4 / -1

From the point (–1, 2) tangent lines are drawn to the parabola y² = 4x, then the equation of chord of contact is

A
y = x + 1

B
y = x – 1

C
y + x = 1

D
None of these

Solution
Question 7
4 / -1

For the above problem, the area of triangle formed by chord of contact and the tangent is given by

A
8

B

C

D
None of these

Solution
Question 8
4 / -1

A

B

C

D

Solution
Question 9
4 / -1

If axis of the parabola y = f(x) is parallel to y – axis and it touches the line y = x at (1, 1), then

A

B

C

D

Solution
Question 10
4 / -1

A

B

C

D

Solution