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Tangents are drawn from (-2,0) to y2=8x, radius of circle(s) that would touch these tangents and the corresponding chord of contact, can be equal to ...
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A common tangent to 9x2-16y2=144 and x2+y2=9 is ...
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The equation of common tangents to the ellipse x2+2y2=1 and the circle x2+y2=2/3 ...
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*Image* The two batteries A and B, connected in given circuit, have equal e.m.f. E and internal resistance r1 and r2 respectively (r1 > r2). All the resistors have resistance R. Capacitor and Inductor have values of L an C ...
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A metal ring is held horizontally and a bar magnet is dropped through the ring with its length along the axis of the ring. The acceleration of the falling magnet is ...
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STATEMENT-1: The minimum area of the triangle formed by the tangent to the ellipse x2/a2+y2/b2=1 and coordinate axis is ab. STATEMENT-2: The area is given by ab/sin2θ ...
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*Image* A metallic solid sphere is placed in a uniform electric field. The lines of force follow the path(s) shown in figure as: ...
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The third coordinate B can be ...
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*Image* The conductor AD moves to the right in a uniform magnetic field directed into the paper. ...
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If this square is circumscribed in a circle then the eqn of tangent at C is ...
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There is another point R(9,6) on the parabola. Tangent through R intersects the directrix at L. The other equation of tangent through L is ...
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There is a point P(4,4) on parabola y2=4x The intersection of the tangents through the ends of the focal chord PQ is ...
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The equation of tangent through the point on parabola which is at distance 17 from focus. ...
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Multiple Correct answer follows *Image* ? *Image* The reagent(s) for the following conversion is(are) ...
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The diastereomer of *Image* ...
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Multiple Correct answer follows A positively charged thin metal ring of radius R is fixed in the xy-plane with its centre at the origin O. A negatively charged particle P is released from rest at the point ( 0, 0, z0) where z ...
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A parallel plate capacitor of plate area A and plate separation d is charged to a potential difference V & then the battery disconnected. A slab of dielectric constant K is then inserted between the plates of the capacitor so ...
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Three metallic spherical shells A, B aand C of radii a, b and c(a<b<c) respectively are placed with centre O. Initially all the three shells are given positive charge q. If the inner shell is earthed, Find the amount ...
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Now keeping shell A earthed, shell C is also earthed. Find the charge that will flow from shell C to the earth. ...
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A square loop carrying a current i is situated near a long straight wire such that the wire is parallel to one of the sides of the loop and is in the plane of loop. The side of the loop is L and the distance of the nearest si ...
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Suppose there is no current flowing in the loop initially. The current in the long wire is increasing at the rate of 2 A/s. The resistance of the loop is R. The induced current in the loop is ...
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Two spherical balls of mass M & 5M and radii R & 2R respectively are released in free space with initial seperation b/w their centres equal to 12R. If they attract each other due to gravitational force only, then the distance ...
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A student throws a stick of length L up in yhe air. At the moment the stick leaves his hand, the speed of the stick's end is 0. The stick completes N turns and is caught by the student in the same way as is thrown by him ...
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A rod AB of mass M and length L is lying on a horizontal frictional surface. A particle of mass m travelling along the surface hits the end 'A' of the rod with a velocity of v ina a direction perpendicular to AB and c ...
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The solid hemisphere of glass of refractive index mu=1.5,radius=20 cm.The position of the image formed of an object placed at 50cm from the plane surface is ...
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Identify the correct order of reactivity in electrophilic substitution reaction of the following compounds: 1:benzene 2:toluene 3:chlorobenzene ...
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The reaction of propene with HOCl proceeds via the addition of ...
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Which one of the following heptanols can be dehydrated to hept-3-ene only? ...
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Which of the following exhibits stereoisomerism? ...
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The IUPAC name of *Image* is ...