If force =`frac{X}{area}`+ `Y` is dimentionally correct , the dimensions of `[xy] are

If Force=(x/density)+C is dimensionally correct, the dimension of x are -

If X represents force, Y represents area and Z represents time. The quantities having same dimensions as coefficient of viscosity in are

If the shortest distance between the lines frac{x - lambda} {-2} = frac{y - 2} {1} = frac{z - 1} {1} and frac{x - sqrt 3}{1} = frac{y-1}{-2} = frac{z-2}{1} is 1, then the sum of all possible values of lambda is :

An electric line of force in the xy plane is given by equation x^(2)+y^(2)=1 . A particle with unit positive charge initially at rest at the point x=1, y=0 in the xy -plane

Area of the triangle formed by the lines y^2-9xy+18x^2=0 and y=9 is

What is the area of the region bounded by the lines y=x.y=0 and x=4?

The differential equation of all conics whose centre klies at origin, is given by (a) (3xy_(2)+x^(2)y_(3))(y-xy_(1))=3xy_(2)(y-xy_(1)-x^(2)y_(2)) (b) (3xy_(1)+x^(2)y_(2))(y_(1)-xy_(3))=3xy_(1)(y-xy_(2)-x^(2)y_(3)) ( c ) (3xy_(2)+x^(2)y_(3))(y_(1)-xy)=3xy_(1)(y-xy_(1)-x^(2)y_(2)) (d) None of these