Test Details

Conic Sections

Jan 30, 9:30 AM

60 minutes

Jan 30, 8:00 PM

36.0 marks

MCQ

20 questions

Shiv Narayan Kumar

Three years of excellent teaching and mentoring experience. Aimed to provide the most effective teaching methodology to assure quality and indepth education of Science. SHIV NARAYAN SIR (Faculty of Physics )

Class Details

PCM

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Question Text

Question 1 :
Find the value of a if $y^2=4ax $ pases through $(8,8)$

Question 2 :
What is the radius of the circle with the following equation? $\displaystyle x^{2}-6x+y^{2}-4y-12=0$

Question 3 :
Assertion: If the equation of a circle is $(x+1)^2+(y-1)^2=4$, then its radius is 4. Reason: Equation of a circle with radius r is given by, $(x-a)^2 + (y-b)^2=r^2$.

Question 4 :
The equation of the circle passing through $(3, 6)$ and whose centre is $(2, -1)$ is

Question 7 :
The radius of the circle with center (0,0) and which passes through (-6,8) is

Question 8 :
If the vertices of a triangle are $(2, -2), (-1, -1)$ and $(5, 2)$ then the equation of its circumcircle is?

Question 9 :
The circle with radius $1$ and centre being foot of the perpendicular from $(5, 4)$ on y-axis, is?

Question 11 :
The equation ${ x }^{ 2 }+{ y }^{ 2 }=9$ meets x-axis at 

Question 12 :
Equation of the circle with centre on y-axis and passing through the points $(1,0),(1,1)$ is:

Question 14 :
The vertex of the parabola $y^2 - 4y - x + 3 = 0$ is

Question 15 :
The length of the latus rectum of the parabola $169 \left[(x-1)^2+(y-3)^2\right]=(5x-12y+17)^2$ is:

Question 16 :
The length of the latus rectum of the parabola whose vertex is $(2, -3)$ and the directrix $x = 4$ is

Question 17 :
The arrangement of the following parabolas in the ascending order of their length of latusrectum  A)   $y=4x^{2}+x+1$     B) $2y=x^{2}+x+5$ C)   $x=2y^{2}+y+3$     D) $y^{2}+x+y+9=0$

Question 18 :
Find the equation of the circle that passes through the points $(0,6),(0,0)$ and $(8,0)$

Question 19 :
Assertion: The length of latus rectum of the parabola $\displaystyle \left ( 3x - 4y + 2 \right )^{2} = 40\left ( 4x + 3y - 5 \right )$ is $\displaystyle 16$. Reason: The length of latus rectum of the parabola $\displaystyle \left ( y - 2 \right )^{2} = 16 \left ( x + 3 \right )$ is $\displaystyle 16$.

Question 20 :
The set of points $(x, y)$ whose distance from the line $y = 2x + 2$ is the same as the distance from $(2, 0)$ is a parabola. This parabola is congruent to the parabola in standard form $y = Kx^{2}$ for some $K$ which is equal to

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