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Recent questions tagged sec-1

Find the equation of the two tangents that can be drawn, from the point $(1 , 3 )$ to the ellipse $4x^{2}+9y^{2}=36$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation of the two tangents that can be drawn,from the point $(2 , -3 )$ to the parabola $y^{2}=4x $

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the hyperbola $4x^{2}-y^{2}=64 $ ,which are parallel to $10x-3y+9=0$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the ellipse $\large\frac{x^{2}}{20}+\frac{y^{2}}{5}$$=1,$ Which are perpendicular to $ x+y+z=0$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation of the tangent to the parabola $y^{2}=16x,$ perpendicular to the line $3x-y+8=0$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation of the tangents to the parabola $y^{2}=6x,$ parallel to $3x-2y+5=0$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the hyperbola $\large\frac{x^{2}}{9}-\frac{y^{2}}{12}=$$1$ at $\theta=\large\frac{\pi}{6}$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the ellipse $16x^{2}+25y^{2}=400 $ at $t=\large\frac{1}{\sqrt{3}}$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the ellipse $ x^{2} +4y^{2}=32 $ at $\theta=\large\frac{\pi}{4}$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the parabola $y^{2}=8x $ at $t=\large\frac{1}{2}$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the hyperbola $9x^{2}-5y^{2}=31 $ at $(2 , -1 )$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the ellipse $2x^{2}+3y^{2}=6 $ at $ (\sqrt{3} , 0 )$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the parabola $x^{2}+2x-4y+4=0$ at $(0 , 1 )$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the parabola $x^{2}=9y$ at $(3 , 1 )$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the parabola $y^{2}=12x $ at $ (3 , -6 )$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the eccentricity, centre , foci , and vertices of the following hyperbolas and draw their diagrams: $x^{2}-3y^{2}+6x+6y+18=0$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the eccentricity, centre , foci , and vertices of the following hyperbolas and draw their diagrams: $x^{2}-4y^{2}+6x+16y-11=0$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the eccentricity, centre , foci , and vertices of the following hyperbolas and draw their diagrams: $\large\frac{y^{2}}{9}-\frac{x^{2}}{25}=$$1$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the eccentricity, centre , foci , and vertices of the following hyperbolas and draw their diagrams: $25x^{2}-16y^{2}=400$

asked Apr 11, 2013 by poojasapani_1

1 answer

Show that the locus of a point which moves so that the difference of its distance from the points $(5 , 0 ) $ and $(-5 , 0 )$is $8 $ is $9x^{2}-16y^{2}=144$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equations of directrices ,latus rectums and length of latus rectum of the following hyperbolas:$9x^{2}-4y^{2}-36x+32y+8=0$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equations of directrices ,latus rectums and length of latus rectum of the following hyperbolas: $4x^{2}-9y^{2}=576$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equation and the length of the transverse and conjugate axis of the following hyperbola:$16x^{2}-9y^{2}+96x+36y-36=0$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equation and the length of the transverse and conjugate axis of the following hyperbola: $8y^{2}-2x^{2}=16$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equation and the length of the transverse and conjugate axis of the following hyperbola :$144x^{2}-25y^{2}=3600$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equation of the hyperbola if foci: $(6 , -1 )$ and $(-4 , -1)$ and passing through the point $(4 , -1 )$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equation of the hyperbola if centre : $(1 , 4 );$one of the foci $(6 , 4 )$ and the corresponding directrix is $x=\large\frac{9}{4}$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equation of the hyperbola if foci: $(\pm 3 , 5 ); e=3$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equation of the hyperbola if centre:$ (2 , 5 )$; the distance between the direction is $15$ the distance between the foci is $20$ and the transverse axis is parallel to y-axis.

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equation of the hyperbola if centre : $(1 , -2 )$ length of the transverse axis is $8; e=\large\frac{5}{4}$ and the transverse axis is parallel to x- axis.

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equation of the hyperbola if centre: $(0 , 0 )$ length of the semi-transverse axis is $5; e=\large\frac{7}{5}$ and the conjugate axis is along x-axis.

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equation of the hyperbola if focus : $(2 , 3 );$ corresponding directrix : $x+2y=5,e=2$

asked Apr 11, 2013 by poojasapani_1

1 answer

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 .

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.

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?

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.

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 $6m$.

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$

asked Apr 10, 2013 by poojasapani_1

1 answer

Find the eccentricity, centre, foci, vertices of the following ellipses and draw the diagram: $9x^{2}+4y^{2}=36$

asked Apr 10, 2013 by poojasapani_1

1 answer

Find the eccentricity, centre, foci, vertices of the following ellipses and draw the diagram:$x^{2}+4y^{2}-8x-16y-68=0$

asked Apr 10, 2013 by poojasapani_1

1 answer

Find the eccentricity, centre, foci, vertices of the following ellipses and draw the diagram: $16x^{2}+25y^{2}=400$

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: $3x^{2}+2y^{2}-30x-4y+23=0$

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: $x^{2}+4y^{2}-8x-16y-68=0.$

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: $9x^{2}+16y^{2}=144$

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: $25x^{2}+169y^{2}=4225$.

asked Apr 10, 2013 by poojasapani_1

1 answer

Find the equations and length of major and minor axes of $16x^{2}+9y^{2}+32x-32y-92=0$

asked Apr 10, 2013 by poojasapani_1

1 answer

Find the equations and length of major and minor axes of $9x^{2}+4y^{2}=20$

asked Apr 10, 2013 by poojasapani_1

1 answer

Find the equations and length of major and minor axes of $5x^{2}+9y^{2}+10x-36y-4=0$

asked Apr 10, 2013 by poojasapani_1

1 answer

Find the equations and length of major and minor axes of $9x^{2}+25y^{2}=225$

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.$

asked Apr 10, 2013 by poojasapani_1

1 answer

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