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Recent questions tagged ch4

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 foci:$(0,\pm 8 )$; length of transverse axis is $12$ .

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

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

Find the equation of the ellipse if the centre is $(3 , -4 ), $one of the foci is $(3+\sqrt{3},-4)$ and $e=\large\frac{\sqrt{3}}{2}$

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 $(\pm 5 , 0)$

asked Apr 10, 2013 by poojasapani_1

1 answer

Find the equation of the ellipse if the foci are $(2 , -1 ) , (0 , -1 )$ and $e=\large\frac{1}{2}$

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 $e=\large\frac{3}{5}$

asked Apr 10, 2013 by poojasapani_1

1 answer

Show that the given system of equations are consistent and non infinite number of a solutions $ 2x+3y-z=7 \\ x+2y-z=4 \\ 3x-y+4z=5$

asked Apr 10, 2013 by meena.p

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 $55mts$.

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.

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.

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. $x^{2}-6x-12y-3=0$.

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. $y^{2}+8x-6y+1=0$.

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. $(x-4)^{2}=4(y+2).$

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 $

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. $y^{2}=-8x$

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 $(6 , 4 )$.

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 $4$.

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 $8$.

asked Apr 9, 2013 by poojasapani_1

1 answer

Find the equation of parabola if : Vertex $(1 , 2 ) ;$ latus recturm :$y=5$.

asked Apr 9, 2013 by poojasapani_1

1 answer

Find the equation of parabola if : Vertex $(1 , 4 );$ focus :$(-2 , 4 ).$

asked Apr 9, 2013 by poojasapani_1

1 answer

Find the equation of parabola if : Vertex $(0 , 0 ); $ focus : $(0 , -4 )$.

asked Apr 9, 2013 by poojasapani_1

1 answer

Find the equation of parabola if : Focus: $(-1 , 3 )$; directrix $ 2x+3y=3$.

asked Apr 9, 2013 by poojasapani_1

1 answer

Find the equation of parabola if : Focus:$(2 , -3 );$ directrix :$2y-3=0$

asked Apr 9, 2013 by poojasapani_1

1 answer

Using matrices, solve the following system of equations:$x+\frac{2}{y}+3xz=-1,2x-\frac{4}{y}-3xz=3,3x+\frac{6}{y}-2xz=4$

asked Apr 8, 2013 by meena.p

1 answer

Find the area of the triangle where vertices are $A(11,7),B(5,5)\; and\; C(-1,3)$

asked Apr 8, 2013 by meena.p

1 answer

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