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Recent questions tagged parabola
Questions
Let $(x_1,y_1)$ be the point of intersection of the tangent to the parabola $y^2=4ax$ at the points $t_1$ and $t_2$ . Then $x_1=a{t_1}{t_2}$ and $y_1=a(t_1+t_2)$
parabola
asked
Feb 20, 2015
by
tanvirahmedodesk
1
answer
how to remember equation of tangent . can you show how did you find out Equation of tangent at $(a{t_1}^2,2a{t_1})$ is
parabola
asked
Feb 19, 2015
by
tanvirahmedodesk
1
answer
If the vertex of the parabola is the point $(-3,0)$ and the directrix is the line $x+5=0$,then its equation is
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
easy
q53
asked
Oct 16, 2014
by
sreemathi.v
1
answer
If the parabola $y^2=4ax$ passes through the point $(3,2)$,then the length of its latus rectum is
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
easy
q52
asked
Oct 16, 2014
by
sreemathi.v
1
answer
If the focus of a parabola is $(0,-3)$ and its directrix is $y=3$,then its equation is
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
easy
q51
asked
Oct 16, 2014
by
sreemathi.v
1
answer
The equation of the parabola having focus at $(-1,-2)$ and the directrix $x-2y+3=0$ is _________
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
medium
q45
asked
Oct 16, 2014
by
sreemathi.v
1
answer
State whether the following statement is True or False : The line $lx+my+n=0$ will touch the parabola $y^2=4ax$ if $ln=am^2$
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
medium
q37
asked
Oct 15, 2014
by
sreemathi.v
1
answer
Find the equation of the following parabola : Focus at $(-1,-2)$,directrix $x-2y+3=0$.
cbse
class11
math
conic-sections
parabola
exemplar
sec-b
easy
q28-c
asked
Oct 14, 2014
by
sreemathi.v
1
answer
Find the equation of the following parabola : Vertex at $(0,4)$,focus at $(0,2)$.
cbse
class11
math
conic-sections
parabola
exemplar
sec-b
easy
q28-b
asked
Oct 14, 2014
by
sreemathi.v
1
answer
Find the equation of the following parabola : Directrix $x=0$,focus at $(6,0)$.
cbse
class11
math
conic-sections
parabola
exemplar
sec-b
easy
q28-a
asked
Oct 14, 2014
by
sreemathi.v
1
answer
If the line $y=mx+1$ is tangent to the parabola $y^2=4x$ then find the value of $m$.
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
medium
q19
asked
Oct 10, 2014
by
sreemathi.v
1
answer
If the points $(0,4)$ and $(0,2)$ are respectively the vertex and focus of a parabola,then find the equation of the parabola.
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
medium
q18
asked
Oct 10, 2014
by
sreemathi.v
1
answer
Find the length of the line-segment joining the vertex of the parabola $y^2=4ax$ and a point on the parabola where the line-segment makes an angle $\theta$ to the $x$-axis.
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
difficult
q17
asked
Oct 10, 2014
by
sreemathi.v
1
answer
Find the coordinates of a point on the parabola $y^2 = 8x$ whose focal distance is 4.
cbse
class11
math
conic-sections
parabola
exemplar
sec-a
medium
q16
asked
Oct 10, 2014
by
sreemathi.v
1
answer
P is a point, two tangents are drawn from it to the parabola $y^2=4x$ such that the slope of one tangent is three times the slope of the other. The locus of P is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 10, 2014
by
meena.p
1
answer
If the vertex and the focus of a parabola are $(-1,1)$ and $(2,3)$ respectively then the equation of the directrise , is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 10, 2014
by
meena.p
1
answer
The angle between the tangent drawn from the point $(1,4)$ to the parabola $y^2=4x$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 10, 2014
by
meena.p
1
answer
The curve disturbed parametrically by $x=t^2+t+1\;y=t^2-t+1$ represents
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 10, 2014
by
meena.p
1
answer
If $x+y=k$ is the normal to $y^2=12x$ then k is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 10, 2014
by
meena.p
1
answer
If the line $x-1=0$ is the directrix of parabola $y^2-kx+8=0$ then one of the value of k is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 10, 2014
by
meena.p
1
answer
The equation of the directrise of the parabola $y^2+4y+4x+2=0$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 10, 2014
by
meena.p
1
answer
The angle between the tangents draw from the origin to the parabola $y^2=4a(x-a)$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 10, 2014
by
meena.p
1
answer
The equation of common tangent to the curves $y^2=8x$ and $xy=-1$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 10, 2014
by
meena.p
1
answer
The locus of the mid point of the line segment joining the focus to a moving point on parabola $y^2=4ax$ is another parabola with direction
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
In the parabola $y^2=4ax$ , the length of the chord passing through the vertex and inclined to the x-axis at an angle $\theta$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
The normal to the parabola $y^2=8x$ at the point $(2,4)$ meets the parabola again at the point.
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
The focus of the parabola $y^2-x-2y+2=0$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
If polar of the parabola $x^2=4ay$ is always touching the parabola $y^2=4ax$ then locus of the pole is :
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
Equation of the parabola if its vertex and focus are $(-2,3)$ and $(1,-1)$ respectively is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
Line $y=mx+c$ will touch the parabola <Br> $\qquad \qquad \qquad x^2=4ay$ if,
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
The common tangent to the parabola $y^2=4ax$ and $x^2=4ay$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
The normal at $(a,2a)$ on $y^2=4ax$ meets the curve again at $(at^2,2at)$ then the value of t is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
medium
asked
Apr 9, 2014
by
meena.p
1
answer
If the parabolas $Y^2= 4x$ and $x^2=32y$ intersect at $(16,8)$ at an angle $\theta$ then $\theta$ is equal to
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
The length of a focal chord of the parabola $y^2=4ax$ making an angle $\theta$ with the axis of the parabola is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
The ratio in which the line segment joining the points $(4,-6)$ and $(3,1)$ is divided by the parabola $y^2=4ax$ is
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
difficult
asked
Apr 9, 2014
by
meena.p
1
answer
A satellite dish has a diameter of 8 feet. The depth of the dish is 1 foot at the center of the dish. Where should the receiver be placed?
conic-sections
cbse
math
class11
parabola
additionalproblem
sec-a
medium
ch11
asked
Apr 8, 2014
by
balaji.thirumalai
1
answer
Find the equation of a parabola that satisfies the following condition - vertex $(0,0)$ and passing through $(5,2)$ and symmetric with respect to y-axis.
cl35296
cl35288
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
math
q12
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of a parabola that satisfies the following condition - Vertex $(0,0)$ and passing through $(2,3)$ and axis is x-axis.
cl35288
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
math
q11
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the parabola that satisfies the given conditions: Vertex $(0,0)$ and Focus $(-2,0)$
cl35292
cl35290
cl35288
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
math
q10
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the parabola that satisfies the given conditions: Vertex $(0,0)$ and Focus $(3,0)$
cl35290
cl35288
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
math
q9
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the parabola that satisfies the given conditions: Focus $(0,-3)$ and Directrix $y=3$
cl35288
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
math
q8
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the equation of the parabola that satisfies the given conditions: Focus $(6,0)$ and Directrix $x=-6$
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
math
q7
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $x^2=-9y$
cl35282
cl35280
cl35278
cl35276
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
q6
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $y^2 = 10x$
cl35282
cl35280
cl35278
cl35276
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
q5
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $x^2=-16y$
cl35280
cl35278
cl35276
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
q4
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $y^2=-8x$
cl35278
cl35276
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
q3
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $x^2=6y$
cl35276
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
q2
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $x^2=6y$
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
q2
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $y^2=12x$.
cl35271
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
q1
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
Find the co-ordinates of the focus, axis of the parabola, equations of the directrix and length of latus rectum of the parabola $y^2=12x$.
cbse
class11
ch11
exercise11-2
parabola
conic-sections
easy
sec-a
q1
math
asked
Apr 1, 2014
by
balaji.thirumalai
1
answer
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