Recent questions tagged objective

The equation of the tangent to the curve $y=\large\frac{x^{3}}{5}$ at the point $(-1,-1/5)$ is

asked May 15, 2013 by poojasapani_1

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The point on the curve $y=3x^{2}-6x-4$ at which the tangent is parallel to the $x$ -axis is

asked May 15, 2013 by poojasapani_1

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The slope of the tangent to the curve $y=3x^{2}+3\sin x $ at $x=0 $ is

asked May 15, 2013 by poojasapani_1

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The slope of the normal to the curve $y=3x^{2}$ at the point whose $x$ coordinate is $2$ is

asked May 15, 2013 by poojasapani_1

1 answer

A spherical snowball is melting in such a way that its volume is decreasing at a rate of $1 cm^{3}/min.$ The rate at which the diameter is decreasing when the diameter is $10 cms$ is

asked May 15, 2013 by poojasapani_1

1 answer

The velocity $v$ of a particle moving along a straight line when at a distance $x$ from the origin is given by $a+by^{2}=x^{2}$ where $a$ and $b$ are constants. Then the acceleration is

asked May 15, 2013 by poojasapani_1

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The rate of change of area $A$ of circle of a radius $r$ is

asked May 15, 2013 by poojasapani_1

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The gradient of the curve $y=-2x^{3}+3x+5$ at $x=2$ is

asked May 15, 2013 by poojasapani_1

1 answer

The normal to the rectangular hyperbola $xy=9$ at$(6,\frac{3}{2})$ meets the curve again at

asked May 14, 2013 by poojasapani_1

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The area of the triangle formed by the tangent at any point on the rectangular hyperbola $xy=72$ and its asymptotes is

asked May 14, 2013 by poojasapani_1

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The length of the latus rectum of the rectangular hyperbola $xy=32$ is

asked May 14, 2013 by poojasapani_1

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One of the foci of the rectangular hyperbola $xy=18$ is

asked May 14, 2013 by poojasapani_1

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The co-ordinate of the vertices of the rectangular hyperbola $xy=16$ are

asked May 14, 2013 by poojasapani_1

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The asymptotes of the rectangular hyperbola $xy=c^{2} $ are

asked May 14, 2013 by poojasapani_1

1 answer

Length of the semi-transverse axis of the rectangular hyperbola $xy=8$ is

asked May 14, 2013 by poojasapani_1

1 answer

The eccentricity of the hyperbola with asymptotes $x+2y-5=0 ,2x-y+5=0 $ is

asked May 14, 2013 by poojasapani_1

1 answer

The locus of the point of intersection of perpendicular tangents to the hyperbola $\large\frac{x^{2}}{16}-\frac{y^{2}}{9}$=$1$ is

asked May 14, 2013 by poojasapani_1

1 answer

The product of the perpendiculars drawn from the point $(8 ,0)$ on the hyperbola to its asymptotes is $\large\frac{x^{2}}{64}-\frac{y^{2}}{36}=$$1$ is

asked May 14, 2013 by poojasapani_1

1 answer

The asymptotes of the hyperbola $36y^{2}-25x^{2}+900=0$ are

asked May 14, 2013 by poojasapani_1

1 answer

The angle between the asymptotes to the hyperbola $\large\frac{x^{2}}{16}-\frac{y^{2}}{9}=$$1 $ is

asked May 14, 2013 by poojasapani_1

1 answer

The equation of the chord of contact of tangents from $(2 , 1 )$ to the hyperbola $\large\frac{x^{2}}{16}-\frac{y^{2}}{9}$$=1 $ is

asked May 14, 2013 by poojasapani_1

1 answer

The line $5x-2y+4k=0 $ is a tangent to $4x^{2}-y^{2}=36$ then $k$ is

asked May 14, 2013 by poojasapani_1

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The directrices of the hyperbola $x^{2}-4(y-3)^{2}=16$ are

asked May 14, 2013 by poojasapani_1

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The difference between the focal dintences of any point on the hyperbola $\large\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=$$1$ is $24$ and the eccentricity is $2$. Then the equation of the hyperbola is

asked May 14, 2013 by poojasapani_1

1 answer

The eccentricity of the hyperbola $ 12y^{2}-4x^{2}-24x+48y-127=0$ is

asked May 14, 2013 by poojasapani_1

1 answer