Conic Sections Test

Result

Conic Sections Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

The equations x = a cos θ , y = b sin θ, 0 ≤ θ <2π , a ≠ b, represent

A
an ellipse

B
a parabola

C
a circle

D
a hyperbola

Solution

parametric form of ellipse.
Question 2
1 / -0

The graph of the function f(x) = 1/x i.e.1xi.e. the curve y=1/x is

A
a hyperbola

B
a circle

C
a parabola

D
an ellipse

Solution

it is called rectangular hyperbola.
Question 3
1 / -0

The line y = c touches the parabola y² = 4ax when

A
c > 0

B
c <0

C
c = 0

D
none of these

Solution

When y = c, then it implies slope = 0. Hence the line should be paralle to the X axis.

Therefore the line y = c, when m = 0
Question 4
1 / -0

The parabolas x² = 4y and y² = 4x intersect

A
on the line y = x

B
on the line x + y = 0

C
in a unique point

D
none of these

Solution

point of intersection is(0,0) and (4,4). This implies y = x. Hence it intersects the line y = x
Question 5
1 / -0

The number of points on X-axis which are at a distance c units (c <3) from ( 2, 3) is

A
0

B
1

C
2

D
3

Solution

the shortest distance from x-axis to the point is 3.
Question 6
1 / -0

The angle between the tangents drawn from the origin to the circle = (x − 7)² + (y + 1)² = 25 is

A
π/2

B
π/3

C
π/6

D
π/8

Solution

The angle between the Radius and tangent is 90⁰

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Re-Attempt Weekly Quiz Competition

Conic Sections Test - 6

Result

Conic Sections Test - 6

Score

-

Rank

-

SHARING IS CARING

Question 1

an ellipse

a parabola

a circle

a hyperbola

Solution

Question 2

a hyperbola

a circle

a parabola

an ellipse

Solution

Question 3

c > 0

c <0

c = 0

none of these

Solution

Question 4

on the line y = x

on the line x + y = 0

in a unique point

none of these

Solution

Question 5

0

1

2

3

Solution

Question 6

π/2

π/3

π/6

π/8

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

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