Conic Sections Test

Result

Conic Sections Test - 4

Score
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Rank
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Weekly Quiz Competition

Question 1
1 / -0

The line 3x – 4y = 0

A
is a tangent to the circle x²+y²=25

B
is a normal to the circle x²+y²=25

C
does not meet the circle x²+y²=25

D
does not pass through the origin

Solution

x²+y²=25

After completing the square,we get

(x−0)²+(y−0)²=5²

so center is (0,0) and radius is 5 units.

As the normal should pass through the centre of the circle, center should satisfy the equation of normal

so 3x – 4y = 0 is the equation of normal as (0,0) satisfy this equation.
Question 2
1 / -0

The equation of a circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length 3a is

A
x²+y²=a²

B
x²+y²=9a²

C
x²+y²=16a²

D
x²+y²=4a²

Solution

x²+y²=4a²