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*Image* Figure shows a ball with charge q is fixed at a point A. Two identical balls of mass m and charge +q and -q are attached to the end of a light rod of length 2a fixed at a point 2a right of A. The system is released fr ...

A line 4x+y=1 through the point A(2,-7) meets the line BC whose equation is 3x-4y+1=0. Then the equation of line such that AB=AC is ...

If the normal at the point P(θ) to the ellipse x2/14+y2/5=1 intersects it again at the point Q(2θ), then cosθ= ...

A variable circle passes through the point A(a,b) & touches the x-axis, then the locus of the other end of the diameter through A is a ...

The number of common tangents to the circle x2+y2=4 & x2+y2-6x-8y=24 is ...

If 2y=3x+4 and y=mx+2 are two tangents to the parabola y2+4ax+4a=0, then m= ...

The minimum distance between the hyperbola x2/24-y2/18=1 and the line 3x+2y+1=0 is ...

If line x=y/3-1 touches the parabola y2=4ax, then the length of the latus rectum is ...

*Image* In the figure shown a coil of single turn is wound on a sphere of radius r and mass m. The plane of the coil is parallel to the inclined plane and lies in the equatorial plane of the sphere. If sphere is in ratational ...

The products obtained via oxymercuration(HgSO4+H2SO4) of 1-butyne would be ...

(CH3)3CMgCl on reaction with D2O produces ...

*Image* Hydrogenation of the compound in the presence of poisoned palladium catalyst gives ...

*Image* conc.HNO3/conc. H2SO4 >X The structure of the major product X is ...

If the line x-1=0 is the directrix of the parabola y2-kx+8=0, then one of the value of k is ...

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 ...

A common tangent to 9x2-16y2=144 and x2+y2=9 is ...

The equation of common tangents to the ellipse x2+2y2=1 and the circle x2+y2=2/3 ...

*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 ...

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 ...

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 ...

*Image* A metallic solid sphere is placed in a uniform electric field. The lines of force follow the path(s) shown in figure as: ...

The third coordinate B can be ...

*Image* The conductor AD moves to the right in a uniform magnetic field directed into the paper. ...

If this square is circumscribed in a circle then the eqn of tangent at C is ...

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 ...

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 ...

The equation of tangent through the point on parabola which is at distance 17 from focus. ...

Multiple Correct answer follows *Image* ? *Image* The reagent(s) for the following conversion is(are) ...

The diastereomer of *Image* ...