The dieback of Citrus and reclamation disease of cereals and leguminuous plants is due to the deficiency of

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A particle of mass M is situated at the centre of a spherical shell of same mass and radius a . the magnitude of the gravitational potential at a point situated at a/2  distance from the centre , will be

Let f:R  -------> R be defined by f(x) = ( k- 2x , if
x <_ -1 )  and ( 2x + 3 , if x > -1 )
If f has a local minimum  at x = -1, then a possible  value  of k is

The area ( in sq. units ) of the region { ( x,y) : y² _> 2x and x² + y²  <_ 4x , x _> 0 , y _> 0 } is

Which of the following is a property of noble gases in Group 18 of the periodic table?

What is the role of a catalyst in a chemical reaction?

Among the following sets of reactants , which one produces anisole?

Integrate cos^6 x dx from 0 to x/2 =

A resistance of 20 Ω is connected in the left gap of a meter bridge and an unknown resistance greater than 20 Ω is connected in the right gap. When these resistances are interchanged, the balance point shifts by 20 cm. The unknown resistance is