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Centre of hyperbola 9{{x}^{2}}-16{{y}^{2}}+18x+32y-151=0 is a) (1, –1) b) (–1, 1) c) (–1, –1) d) (1, 1) ...
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The equation of the tangent to the parabola {{y}^{2}}=4x+5 parallel to the line y=2x+7 is a) 2x-y-3=0 b) 2x-y+3=0 c) 2x+y+3=0 d) None of these ...
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The curve described parametrically by x={{t}^{2}}+t+1,y={{t}^{2}}-t+1 represents a)A pair of straight lines b)An ellipse c)A parabola d)A hyperbola ...
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Eccentricity of the parabola {{x}^{2}}-4x-4y+4=0 is__ e=0 __ e=1 __ e>4 __ e=4 ...
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The axis of the parabola 9{{y}^{2}}-16x-12y-57=0 is__ 3y=2 __ x+3y=3 __ 2x=3 __ y=3 ...
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The one which does not represent a hyperbola is__ xy=1 __ {{x}^{2}}-{{y}^{2}}=5 __ (x-1)(y-3)=3 __ {{x}^{2}}-{{y}^{2}}=0 ...
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The equation of the hyperbola whose directrix is x+2y=1 , focus (2, 1) and eccentricity 2 will be__ {{x}^{2}}-16xy-11{{y}^{2}}-12x+6y+21=0 __ 3{{x}^{2}}+16xy+15{{y}^{2}}-4x-14y-1=0 __ {{x}^{2}}+16xy+11{{y}^{2}}-12x-6y+21=0 __ ...
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A sphere of radius 1 cm has potential of 8000 V, then energy density near its surface will be__64 X 105 J/m3__8 X 103 J/m3__32 J/m3__2.83 J/m3 ...
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The number of nearest Cl- ions present around a Cs+ ions in CsCl crystal is__6__8__12__4 ...
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The numbers of tetrahedral and octahedral voids respectively present in closest packed crystals containing ‘X’ number of spheres are__2X and X__X and 2X__4X and 2X__4X and X ...
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If f:R o R,,f(x)=2x-1 and g:R o R, g(x)={{x}^{2}} then (gof),(x) equals ...
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The period of the function f(x)=2cos frac{1}{3}(x-pi ) is ...
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Which of the following is an even function? ...
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If f:R o R,, then f(x),=,|x| is ...
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Domain of definition of the function f(x),=frac{3}{4-{{x}^{2}}}+{{log }_{10}}({{x}^{3}}-x),, is ...
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Let and c be two vectors perpendicular to each other in the xy-plane. All vectors in the same plane having projections 1 and 2 along b and c respectively, are given by ...
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The length of the latus rectum of the ellipse is ...
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Let and c be two vectors perpendicular to each other in the xy-plane. All vectors in the same plane having projections 1 and 2 along b and c respectively, are given by ...
