Jelly is a colloidal solution of

The major product of the following reaction is:

$A$ body executes simple harmonic motion under the action of a force $F_1$ with a time period $T_1 = \frac{4}{5} \ s$. If the force is changed to $F_2$,it executes $SHM$ with a time period $T_2 = \frac{3}{5} \ s$. If both the forces $F_1$ and $F_2$ act simultaneously in the same direction on the body,what is its new time period in seconds?

If two sets $A$ and $B$ have $99$ elements in common,then the number of elements common to the sets $A \times B$ and $B \times A$ is equal to

The differential equation of the family $y=a e^x+b x e^x+c x^2 e^x$ of curves,where $a, b, c$ are arbitrary constants,is

The image of the point $(3, 8)$ in the line $x + 3y = 7$ is