Linear Equation

Q.

Draw the lines x = -3, x = 2, y = -2, y = 3 and write the coordinates of the vertices of the square so formed.

Q. If $x$ and $y$ are $+$ve integers, then find the solution of the following equation:

1. $(x,y)=(6,5),(17,19),(28,33),(39,47),\cdots$
2. $(x,y)=(3,5),(17,16),(28,33),(39,47),\cdots$
3. $(x,y)=(2,5),(27,19),(28,33),(39,37),\cdots$
4. $(x,y)=(1,9),(17,79),(28,33),(69,47),\cdots$

Q. the degree of differential equation d^2y/dx^2 +sqrt(1+(dy/dx) ^3) =0 is

Q. A number is $15$ more than the other. The sum of the two numbers is $105$. Find the numbers.

Q. Every equation of form ax + by + c = 0 represents a line in xy plane. where $a^2+b^2\ne 0$

1. True
2. False