Three distinct points `P(3u^(2),2u^(3));Q(3v^(2),2v^(3))` and `R(3w^(2),2w^(3))` are collinear then

6.Show that the points P(-frac{3}{2},3),Q(6,-2), and R(-3,4) are collinear.

Find the products ((-2)/(7)u^(4)v) xx((-14)/(5)uv^(3)) xx((-3)/(4)u^(2)v^(3))

If u=v^(2)=w^(3)=z^(4) ,then log_(u)(uvwz) is equal to

The square root of the complex number z= (u^(2))/(v^(2))+(v^(2))/(u^(2))+(1)/(2i)((u)/(v)+(v)/(u))+(31)/(16) is (in terms of u, v, w )

If u = ax + by + cz, v = ay + bz + cx, w = az + bx + cy, then the value of |(a,b,c),(b,c,a),(c,a,b)|xx|(x,y,z),(y,z,x),(z,x,y)| is a) u^(2) + v^(2) + w^(2) - 2 uvw b) u^(3)+ v^(3) + w^(3) - 3 uvw c)0 d)none of these

In the circuit as shown in figure, E_(1)=2V , E_(2)=2V, E_(3)=1V, and R=r_(1)=r_(2)=r_(3)Omega . The potential difference between points A and B will be

Let u=int_(0)^(pi//2)cos((2pi)/(3)sin^(2)x)dx and v=int_(0)^(pi//2)cos(pi/3sinx)dx , then the relation between u and v is a) 2u=v b) 2u=3v c) u=v d) u=2v

(20u^(3)v6(2)-15u^(2)v)/(10u^(4)v+30u^(3)v^(3)) Which of the following is the reduced form of the expression above?

If y=sqrt(u) ,u=(3-2v)v and v=x^(2) , then (dy)/(dx)=