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Recent questions tagged ch11
Questions
If the normal to a parabola $y^2=4ax$ make an angle $\theta$ with the axis and $\phi$ is the angle it makes when it cut the parabola again find the relation between $\theta$ & $\phi$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q66
difficult
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the vertex,lactus rectum,axis and the directix of the parabola $(y-2)^2=4(x-1)$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q65
difficult
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the area of triangle inscribed in the parabola $y^2=4ax$ with vertices $(x_1,y_1),(x_2,y_2)$ & $(x_3,y_3)$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q64
difficult
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the centroid of the triangle formed by the feet of the three normal lies on the axis of parabola?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q63
difficult
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the equation of tangent to the parabola $(y-6)^2=4a(x-p)$ at $(at^2,2at)$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q62
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the locus of the points of intersection of the mutually perpendicular tangents to a parabola?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q61
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the equation of parabola whose vertex is (4,2) and focus is (6,2)?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q60
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the length of lactus Rectum for the parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q59
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the area of triangle by tangents at the point $P(at_1^2,2at_1)$ & $Q(at_2^2,2at_2)$ for the parabola $y^2=4ax$ .
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q58
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the point of intersection of tangents at any two points on the parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q57
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the point of intersection of normals at any two points on the parabola $y^2=4ax$
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q56
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the relation between $'t_1'$ meets the parabola again at $'t_2'$ for the parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q55
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Show that normal to the parabola $y^2=4x$ at the point (1,2) meet it again at some point of parabola, find the point?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q54
medium
asked
Feb 6, 2014
by
sreemathi.v
1
answer
Find the conditions for a co-normal point (h,k) of a parabola $y^2=4ax$
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q53
medium
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of common tangent to the parabola $y^2=4x$ and $x^2=4y$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q52
medium
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the area of $\Delta ABC$ where AC is focal chord of the parabola $y^2=4ax$ & B is the vertex of parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q51
medium
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of straight line touching both $x^2+y^2=2$ and $y^2=8x$.
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q50
medium
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the value of $\lambda$ such that $\Delta =0$ for the equation $x^2+y^2-3x+2y+\lambda=0$
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q49
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of normal for the parabola $y^2=4ax$ in parametric form
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q48
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of tangent at $(x_1,y_1)$ for the parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q47
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Equation of normal for the parabola $y^2=4ax$ at point $(x_1,y_1)$ is
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q46
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the coordinate of double ordinate of parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q45
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the equation of parabola whose focus (-4,0) & vertex (0,0)?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q44
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the tangent at the parametric coordinate of parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q43
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the vertex of parabola $x^2+4x+4-y=0$
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q42
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
Find the axis,vertex,focus & equation of directrix for the parabola $y^2=4ax$?
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q41
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
A straight line drawn perpendicular to the axis and terminated at both end of the curve is a _________________ of the parabola.
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q40
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
What is the conic represent $x^2+2x+y+1=0$
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q39
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
For the equation $ax^2+2hxy+by^2+2gx+2fy+c=0$ to be parabola what should be the conditions?
jeemain
math
class11
coordinate-geometry-conic -sections
parabola
ch11
q38
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
e(ecentricity)=__________ for parabola.
jeemain
math
class11
coordinate-geometry-conic-sections
parabola
ch11
q37
easy
asked
Feb 5, 2014
by
sreemathi.v
1
answer
If the lines $\overrightarrow r=(\hat i+2\hat j+3\hat k)+\lambda(3\hat i+2k\hat j-2\hat k)$ and $\overrightarrow r=(\hat i+2\hat j+3\hat k)+\mu(k\hat i+\hat j+5\hat k)$ are $\perp$ to one another then find the equation of the plane containing them.
class12
cbse
medium
sec-c
ch11
additionalproblem
math
asked
Feb 4, 2014
by
rvidyagovindarajan_1
1
answer
If O be the origin and the coordinates of P be (1, 2, – 3), then find the equation of the plane passing through P and perpendicular to OP.
cbse
class12
bookproblem
ch11
misc
p499
q16
sec-b
medium
math
asked
Feb 3, 2014
by
rvidyagovindarajan_1
1
answer
If the lines $\large\frac{2x-1} {-3} = \frac{y-2}{2k} = \frac{z-3}{2}$ and $\large\frac{x-1}{3k} = \frac{1-2y}{1} = \frac{z-6}{-5}$ are perpendicular, find the value of k.
class12
cbse
easy
sec-a
ch11
additionalproblem
math
asked
Feb 3, 2014
by
rvidyagovindarajan_1
1
answer
If the plane $x-2y+3z=0$ is rotated through a right angle about its line of intersection with the plane $2x+3y-4z-5=0$, then the eqn. of the plane in its new position is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
medium
q87
asked
Jan 9, 2014
by
rvidyagovindarajan_1
1
answer
The angle between the lines $x=1,\:y=2$ and $y=-1,\:z=0$ is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
easy
q86
asked
Jan 9, 2014
by
rvidyagovindarajan_1
1
answer
The angle between the line formed by $3x-7y-5z=1$ and $8x-11y+2z=0$ and the line formed by $5x-13y+3z+2=0$ and $8x-11y+2z=0$
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
medium
q85
asked
Jan 9, 2014
by
rvidyagovindarajan_1
1
answer
Equation of the line through the point $(2,-1,-1)$, which is parallel to the plane $4x+y+z+2=0$ ans is $\perp$ to the line $x=\large\frac{y}{-2}=$$z-5$ is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
medium
q84
asked
Jan 8, 2014
by
rvidyagovindarajan_1
1
answer
The equation of projection of the line $\large\frac{x-1}{2}=\frac{y-2}{1}=\frac{z-3}{3}$ on the plane $x+y+z=1$ is given by ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
difficult
q83
asked
Jan 8, 2014
by
rvidyagovindarajan_1
1
answer
The direction cosine of a line which is $\perp$ to two perpendicular lines whose direction cosines are $(l_1,m_1,n_1)\:\:and\:\:(l_2,m_2,n_2)$ is ?
jeemain
math
class12
ch11
3d-geometry
direction cosines
easy
q82
asked
Jan 8, 2014
by
rvidyagovindarajan_1
1
answer
The equation of the plane which makes double the intercepts of the plane $3x+6y-z+12=0$ is ?
jeemain
math
class12
3d-geometry
easy
equations-of-planes
q80
ch11
asked
Jan 7, 2014
by
rvidyagovindarajan_1
1
answer
The value of $k$ for which the line $\large\frac{x-4}{1}=\frac{y-2}{1}=\frac{z-k}{2}$ to lie on the plane $2x-4y+3z=6$ is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
medium
q76
asked
Jan 6, 2014
by
rvidyagovindarajan_1
1
answer
The equation of the plane passing through the point $(1,1,1)$ and having direction ratios $b,c,a$ $(a < b < c)$, where $a,b,c$ are prime factors of $2001$ is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
medium
q73
asked
Jan 6, 2014
by
rvidyagovindarajan_1
1
answer
If $P(0,1,0)\:and\:Q(0,0,1)$ are two points in space, then the projection of $PQ$ on the plane $x+y+z=3$ is ?
jeemain
math
class11
ch11
3d-geometry
coordinate-axes-and-planes
easy
q72
asked
Jan 6, 2014
by
rvidyagovindarajan_1
1
answer
Distance of a point $P(\overrightarrow c)$ from the the line $\overrightarrow r=\overrightarrow a+\lambda \overrightarrow b$ is ?
jeemain
math
class11
ch11
3d-geometry
distance-between-two-points
easy
q71
asked
Jan 6, 2014
by
rvidyagovindarajan_1
1
answer
A vector $\overrightarrow a$ is parallel to the line of intersection of planes $P_1$ containing vectors $\hat i,\:\hat i+\hat j$ and $P_2$ conataining vectors $\hat i-\hat j,\:\hat i+\hat k$. Then the angle between $\overrightarrow a$ and $\hat i-2\hat j+2\hat k$ is?
jeemain
math
class12
ch11
3d-geometry
intersection-of-lines-and-planes
medium
q70
asked
Jan 5, 2014
by
rvidyagovindarajan_1
1
answer
The vectors $\overrightarrow a,\overrightarrow b,\overrightarrow c\:\overrightarrow d$ be are such that $(\overrightarrow a\times\overrightarrow b)\times (\overrightarrow c\times\overrightarrow d)=0$ and $P_1,\:P_2$ are two planes containing the pair of vectors $\overrightarrow a,\overrightarrow b$ and $\overrightarrow c,\overrightarrow d$ respectively, then the angle between the planes is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
medium
q69
asked
Jan 5, 2014
by
rvidyagovindarajan_1
1
answer
The line joining the points $6\overrightarrow a-4\overrightarrow b-5\overrightarrow c$ and $-4\overrightarrow c$ and the line joining the points $-\overrightarrow a-2\overrightarrow b-3\overrightarrow c$ and $\overrightarrow a+2\overrightarrow b-5\overrightarrow c$ Intersects at the point ?
jeemain
math
class12
ch11
3d-geometry
equations-of-lines
medium
q65
asked
Jan 5, 2014
by
rvidyagovindarajan_1
1
answer
The equation of the plane having intercepts of $3$ and $4$ with $x$ and $z$ axes respectively and parallel to $y$ axis is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
easy
q64
asked
Jan 4, 2014
by
rvidyagovindarajan_1
1
answer
If the lines $x=1+s,\:y=-3-\lambda s,\:z=1+\lambda s$ and $x=t/2,\:y=1+t,\:z=2-t$ with parameters $s\:and\:t$ respectively, are coplanar, then $\lambda=?$
jeemain
math
class12
ch11
3d-geometry
coplanar-lines
difficult
q63
asked
Jan 4, 2014
by
rvidyagovindarajan_1
1
answer
The equation of the plane containing the lines $\overrightarrow r=\overrightarrow a_1+\lambda\overrightarrow b\:\:and\:\:\overrightarrow r=\overrightarrow a_2+\mu\overrightarrow b$ is ?
jeemain
math
class12
ch11
3d-geometry
equations-of-planes
medium
q62
asked
Jan 4, 2014
by
rvidyagovindarajan_1
1
answer
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