Recent questions tagged p217

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

If the centre of the ellipes is $(4 , -2 ) $ and one of the focus is $(4 , 2 ),$ find the other focus?

asked Apr 10, 2013 by poojasapani_1

1 answer

Find the equation of the ellipse if the vertices are $(\pm 4 , 0)$and $e=\large\frac{\sqrt{3}}{2}$

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 $\large\frac{32}{5}$

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 $(8 , -1)$.

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.

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 $(2 , \large\frac{-5}{3})$

asked Apr 10, 2013 by poojasapani_1

1 answer

The vector from origin to the points $A$ and $B$ are $\overrightarrow{a}=2\hat i-3\hat j-2\hat k$ and $\overrightarrow{b}=2\hat i+3\hat j-\hat k,$ respectively,then the areqa of triangle $OAB$ is

asked Jan 17, 2013 by sreemathi.v

1 answer

The value of $\lambda$ for which the vectors $3\hat i+6\hat j+\hat k $ and $ 2\hat i+4\hat j+\lambda\hat k$ are parallel is

asked Jan 17, 2013 by sreemathi.v

1 answer

Find the value of $\lambda$ such that the vectors $\overrightarrow{a}=2\hat i+\lambda\hat j+\hat k$ and $\overrightarrow{b}=\hat i+2\hat j+3\hat k$ are orthogonal

asked Jan 17, 2013 by sreemathi.v

1 answer

The angle between two vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ with magnitudes $\sqrt 3$ and 4,respectively,and $\overrightarrow{a}.\overrightarrow{b}=2\sqrt 3$ is

asked Jan 17, 2013 by sreemathi.v

1 answer

The vector having initial and terminal points as $(2,5,0)$ and $(-3,7,4)$ respectively is

asked Jan 17, 2013 by sreemathi.v

1 answer

The position vector of the point which divides the join of points $2\overrightarrow{a}-3\overrightarrow{b}$ and $\overrightarrow{a}+\overrightarrow{b}$ in the ratio 3:1 is

asked Jan 17, 2013 by sreemathi.v

1 answer

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