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Recent questions tagged tnstate
Questions
The arch of a bridge is in the shape of a semi-ellipse having a horizontal span of $40ft$ and $16ft$ high at the centre. How high is the arch $9ft$ from the right or left of the centre .
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p218
q10
asked
Apr 11, 2013
by
poojasapani_1
1
answer
The orbit of the planet mercury around the sun is in elliptical shape with sun at a focus. The semi-major axis is of length $36$ million miles and the eccentricity of the orbit is $0.206$ The greatest possible distance between mercury and sun.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p218
q9
q9-2
asked
Apr 11, 2013
by
poojasapani_1
1
answer
The orbit of the planet mercury around the sun is in elliptical shape with sun at a focus. The semi-major axis is of length $36$ million miles and the eccentricity of the orbit is $0.206$ Find how close the mercury gets to sun?
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p218
q9
q9-1
modelpaper
oct-2009
asked
Apr 11, 2013
by
poojasapani_1
1
answer
A satellite is travelling around the earth in an elliptical orbit having the earth heat a focus and of eccentricity $\large\frac{1}{2}.$ The shortest distance that the satellite get to the earth is $400kms.$ Find the longest distance that the satellite gets from the earth.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q8
modelpaper
jun-2007
jun-2008
asked
Apr 11, 2013
by
poojasapani_1
1
answer
A kho-kho player in a practice session while running realises that the sum of the distances from the two kho-kho poles from him is always $8m$ .Find the equation of the path traced by him if the distance between the poles is $6m$.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q7
asked
Apr 11, 2013
by
poojasapani_1
1
answer
Find the eccentricity, centre, foci, vertices of the following ellipses and draw the diagram:$ 16x^{2}+9y^{2}+32x-36y=92$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q6
q6-4
modelpaper
jun-2009
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the eccentricity, centre, foci, vertices of the following ellipses and draw the diagram: $9x^{2}+4y^{2}=36$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q6
q6-3
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the eccentricity, centre, foci, vertices of the following ellipses and draw the diagram:$x^{2}+4y^{2}-8x-16y-68=0$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q6
q6-2
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the eccentricity, centre, foci, vertices of the following ellipses and draw the diagram: $16x^{2}+25y^{2}=400$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q6
q6-1
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equations of directrices, latus rectum and lengths of latus rectums of the following ellipses: $3x^{2}+2y^{2}-30x-4y+23=0$
tnstate
class12
bookproblem
c4
sec-1
exercise4-2
p217
q5
q5-4
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equations of directrices, latus rectum and lengths of latus rectums of the following ellipses: $x^{2}+4y^{2}-8x-16y-68=0.$
tnstate
class12
bookproblem
c4
sec-1
exercise4-2
p217
q5
q5-3
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equations of directrices, latus rectum and lengths of latus rectums of the following ellipses: $9x^{2}+16y^{2}=144$
tnstate
class12
bookproblem
q4
sec-1
exercise4-2
p217
q5
q5-2
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equations of directrices, latus rectum and lengths of latus rectums of the following ellipses: $25x^{2}+169y^{2}=4225$.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p217
q5
q5-1
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equations and length of major and minor axes of $16x^{2}+9y^{2}+32x-32y-92=0$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q4
q4-4
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equations and length of major and minor axes of $9x^{2}+4y^{2}=20$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q4
q4-3
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equations and length of major and minor axes of $5x^{2}+9y^{2}+10x-36y-4=0$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q4
q4-2
asked
Apr 10, 2013
by
poojasapani_1
1
answer
If $ \cos\;\alpha + \cos\;\beta + \cos\;\gamma = 0 = \sin \;\alpha + \sin \;\beta + \sin \;\gamma $, prove that $\cos^{2}\;\alpha + \cos^{2}\;\beta + \cos^{2}\;\gamma = \sin^{2} \alpha + \sin^{2}\beta + \sin^{2}\gamma = \large\frac{3}{2}$.
tnstate
bookproblem
class12
ch3
exercise3-4
q3
q3-5
p157
asked
Apr 10, 2013
by
geethradh
1
answer
Find the equations and length of major and minor axes of $9x^{2}+25y^{2}=225$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q4
q4-1
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the locus of the point which moves so that the sum of its distances from $(3 , 0 )$ and $(-3 , 0 ) $ is $ 9.$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q3
asked
Apr 10, 2013
by
poojasapani_1
1
answer
If the centre of the ellipes is $(4 , -2 ) $ and one of the focus is $(4 , 2 ),$ find the other focus?
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q2
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if the vertices are $(\pm 4 , 0)$and $e=\large\frac{\sqrt{3}}{2}$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q1
q1-9
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if the foci are $(\pm 3 , 0 ),$ and the length of the latus rectum is $\large\frac{32}{5}$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q1
q1-8
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if the centre is$ (3 , -1 ),$ one of the foci is $(6 , -1)$ and passing through the point $(8 , -1)$.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q1
q1-7
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if the length of the semi major axis, and the latus rectum are $7$ and $\large\frac{80}{7}$ respectively, the centre is $(2 , 5 )$ and the major axis is parallel to y- axis.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q1
q1-6
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if the centre at the origin, the major axis is along $x$-axies,$e=\large\frac{2}{3}$ and passes through the point $(2 , \large\frac{-5}{3})$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q1
q1-5
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if the centre is $(3 , -4 ), $one of the foci is $(3+\sqrt{3},-4)$ and $e=\large\frac{\sqrt{3}}{2}$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p216
q1
q1-4
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if the foci are $(\pm 3 , 0 )$ and the vertices are $(\pm 5 , 0)$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p216
q1
q1-3
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if the foci are $(2 , -1 ) , (0 , -1 )$ and $e=\large\frac{1}{2}$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p216
q1
q1-2
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the equation of the ellipse if One of the foci is$(0 , -1 )$, the corresponding directrix is $3x+16=0$ and $e=\large\frac{3}{5}$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p216
q1
q1-1
asked
Apr 10, 2013
by
poojasapani_1
1
answer
A cable of a suspension bridge is in the form of a parabola whose span is $40mts$ . The road way is $5mts$ below the lowest point of the cable . if an extra support is provided across the cable $30mts$ above the ground level, Find the length of the support if the height of the pillars are $55mts$.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p193
q5
jun-2006
oct-2007
modelpaper
asked
Apr 9, 2013
by
poojasapani_1
1
answer
The focus of a parabolic mirror is at a distance of $8cm$ from its centre (vertex) ,if the mirror is $25cm$ deep, find the diameter of the mirror.
tnstate
class12
bookproblem
exercise4-1
ch4
sec-1
p193
q4
asked
Apr 9, 2013
by
poojasapani_1
1
answer
If a parabolic reflector is $20cm$ in diameter and $5cm$ deep, find the distance of the focus from the centre of the reflector.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q3
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs. $x^{2}-6x-12y-3=0$.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q2
q2-5
modelpaper
mar-2010
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs. $y^{2}+8x-6y+1=0$.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q2
q2-4
modelpaper
mar-2007
oct-2006
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs. $(x-4)^{2}=4(y+2).$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q2
q2-3
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs.$x^{2}=20y $
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q2
q2-2
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs. $y^{2}=-8x$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q2
q2-1
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the equation of parabola if : Vertex $(2 , 3 )$ open upward ;and passing through the point $(6 , 4 )$.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q1
q1-9
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the equation of parabola if :Vertex $(3 , -1 );$ open rightward ; the distance between the latus recturm and directrix is $4$.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q1
q1-8
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the equation of parabola if : Vertex $(3 , -2 ); $ open downward and the length of the latus rectum is $8$.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q1
q1-7
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the equation of parabola if : Vertex $(1 , 2 ) ;$ latus recturm :$y=5$.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q1
q1-5
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the equation of parabola if : Vertex $(1 , 4 );$ focus :$(-2 , 4 ).$
tnstate
class12
bookproblem
sec-1
ch4
exercise4-1
p192
q1
q1-4
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the equation of parabola if : Vertex $(0 , 0 ); $ focus : $(0 , -4 )$.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q1
q1-3
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the equation of parabola if : Focus: $(-1 , 3 )$; directrix $ 2x+3y=3$.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q1
q1-2
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the equation of parabola if : Focus:$(2 , -3 );$ directrix :$2y-3=0$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q1
q1-1
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Show that diameter of a sphere subtends a right angle at a point on the surface.
tnstate
class12
bookproblem
ch2
sec-1
exercise2-11
p124
q6
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the centre and radius of the following spheres: $\overrightarrow{r}^{2}-\overrightarrow{r} . (\overrightarrow{4i}+\overrightarrow{2j}-\overrightarrow{6k})-11=0$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-11
p124
q5
q5-4
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the centre and radius of the following spheres :$x^{2}+y^{2}+z^{2}+4x-8x+2z=5$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-11
p124
q5
q5-3
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the centre and radius of the following spheres : $|\overrightarrow{2r}+(\overrightarrow{3i}-\overrightarrow{j}+\overrightarrow{4k})|=4$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-11
p124
q5
q5-2
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the centre and radius of the following spheres : $| \overrightarrow{r}-(\overrightarrow(2i)-\overrightarrow(j)+\overrightarrow{4k})|=5$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-11
p124
q5
q5-1
asked
Apr 9, 2013
by
poojasapani_1
1
answer
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