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Questions >> TN XII Math >> Objective type Questions and Answers

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

1 answer

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

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

asked May 14, 2013 by poojasapani_1

1 answer

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

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

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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

1 answer

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

asked May 14, 2013 by poojasapani_1

1 answer

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

The eccentricity of the hyperbola whose latus rectum is equal to half of its conjugate axis is

asked May 14, 2013 by poojasapani_1

1 answer

The locus of foot of perpendicular from the focus to a tangent of the curve $16x^{2}+25y^{2}=400$ is

asked May 13, 2013 by poojasapani_1

1 answer

The radius of the director circle of the conic $9x^{2}+16y^{2}=144$ is

asked May 13, 2013 by poojasapani_1

1 answer

The sum of the distance of any point on the ellipse $4x^{2}+9y^{2}=36$ from $(\sqrt{5},0) and (-\sqrt{5} ,0)$ is

asked May 13, 2013 by poojasapani_1

1 answer

The straight line $2x-y+c=0$ is a tangent to the ellipse $4x^{2}+8y^{2}=32$ if $c$ is

asked May 13, 2013 by poojasapani_1

1 answer

If the length of major and semi-minor axis of an ellipse are $8 , 2$ and their corresponding equations are $y-6=0$ and $x+4=0$ then the equations of the ellipse is

asked May 13, 2013 by poojasapani_1

1 answer

The distance between the foci of the ellipse $9x^{2}+5y^{2}=180$ is

asked May 13, 2013 by poojasapani_1

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The length of the semi-major and the length of the semi-minor axis of the ellipse $\large\frac{x^{2}}{144}+\frac{y^{2}}{169}$ = $1$ are

asked May 13, 2013 by poojasapani_1

1 answer

The eccentricity of the conic $9x^{2}+5y^{2}-54x-40y+116=0$ is

asked May 13, 2013 by poojasapani_1

1 answer

The angle between the two tangents drawn from the point $(-4 , 4)$ to $y^{2}=16x$ is

asked May 13, 2013 by poojasapani_1

1 answer

The tangents at the end of any focal chord to the parabola $y^{2}=12x$ intersect on the line

asked May 13, 2013 by poojasapani_1

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The line $2x+3y+9=0$ touches the parabola $y^{2}=8x$ at the point

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The vertex of the parabola $x^{2}=8y-1$ is

asked May 13, 2013 by poojasapani_1

1 answer

The focus of the parabola $x^{2}=16y$ is

asked May 13, 2013 by poojasapani_1

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The length of the latus rectum of the parabola whose vertex is $(2 ,-3)$ and the directrix $x=4$ is

asked May 13, 2013 by poojasapani_1

1 answer

The diretrix of the parabola $y^{2}=x+4$ is

asked May 13, 2013 by poojasapani_1

1 answer

The length of the latus rectum of the parabola $y^{2}-4x+4y+8=0$ is

asked May 13, 2013 by poojasapani_1

1 answer

The point of intersection of the tangents at $t_{1}=t$ and $t_{2}=3t$ to the parabola $y^{2}=8x$ is

asked May 13, 2013 by poojasapani_1

1 answer

The line $4x+2y=c$ is a tangent to the parabola $y^{2}=16x$ then $c$ is

asked May 13, 2013 by poojasapani_1

1 answer

$16x^{2}-3y^{2}-32x-12y-44=0$ represents

asked May 13, 2013 by poojasapani_1

1 answer

The axis of the parabola $y^{2}-2y+8x-23=0$ is

asked May 13, 2013 by poojasapani_1

1 answer

If $\omega$ is a cube root of unity then the value of $(1-\omega)(1-\omega^{2})(1-\omega^{4})(1-\omega^{8})$ is

asked May 13, 2013 by poojasapani_1

1 answer

If $\omega$ is the $n$ th root of unity then

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1 answer

If $\omega$ is a cube root of unity then the value of $(1-\omega+\omega^{2})^{4}+(1+\omega-\omega^{2})^{4}$ is

asked May 13, 2013 by poojasapani_1

1 answer

If $-i+3$ is a root of $x^{2}-6x+k=0$ then the value of $k$ is

asked May 13, 2013 by poojasapani_1

1 answer

If $\large\frac{1-i}{1+i}$ is a root of the equation $ax^{2}+bx+1=0$ where $a ,b$ are real then $(a , b)$ is

asked May 13, 2013 by poojasapani_1

1 answer

The equation having $4-3j$ and $4+3j$ as roots is

asked May 13, 2013 by poojasapani_1

1 answer

The quadratic equation whose roots are $\pm\;i\sqrt{7}$ is

asked May 13, 2013 by poojasapani_1

1 answer

If $-i+2$ is one root of the equation $ax^{2}-bx+c=0$ , then the other root is

asked May 13, 2013 by poojasapani_1

1 answer

The conjugate of $i^{13}+i^{14}+i^{15}+i^{16}$ is

asked May 12, 2013 by poojasapani_1

1 answer

The value of $i+i^{22}+i^{23}+i^{24}+i^{25}$ is

asked May 12, 2013 by poojasapani_1

1 answer

$z_{1}=4+5i,z_{2}=-3+2i$ then $\large\frac{z_{1}}{z_{2}}$ is

asked May 12, 2013 by poojasapani_1

1 answer

If $a=\cos\alpha- i \sin \alpha,b=\cos\beta-i \sin\beta,c=\cos\gamma-i\sin\gamma$ then $(a^{2} c^{2} -b^{2})/abc$ is

asked May 12, 2013 by poojasapani_1

0 answers

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