The differential equation of all non-vertical lines in a plane is

Question

The differential equation of all non-vertical lines in a plane is (A)  (d2y/dx2) = 0  (B)  (dy/dx) = 0  (C)  (dx/dy) = 0  (D) None of these

Tardigrade Admin · Accepted Answer

The general equation of non-vertical lines is a x+b y=1 On differentiating w.r.t. x, we get a+b (d y/d x)=0 Again differentiating w.r.t. x, we get (b d2 y/d x2)=0 ⇒ (d2 y/d x2)=0

Q. The differential equation of all non-vertical lines in a plane is

$\frac{d ^{2} y}{d x ^{2}} = 0$

$\frac{d y}{d x} = 0$

$\frac{d x}{d y} = 0$

None of these

The general equation of non-vertical lines is
$a x + b y = 1$
On differentiating w.r.t. $x$ , we get
$a + b \frac{d y}{d x} = 0$
Again differentiating w.r.t. $x$ , we get
$\frac{b d ^{2} y}{d x ^{2}} = 0$
$\Rightarrow \frac{d ^{2} y}{d x ^{2}} = 0$

Q. The differential equation of all non-vertical lines in a plane is

dx2d2y​=0

dxdy​=0

dydx​=0

None of these

The general equation of non-vertical lines is ax+by=1 On differentiating w.r.t. x, we get a+bdxdy​=0 Again differentiating w.r.t. x, we get dx2bd2y​=0 ⇒dx2d2y​=0

$\frac{d ^{2} y}{d x ^{2}} = 0$

$\frac{d y}{d x} = 0$

$\frac{d x}{d y} = 0$

The general equation of non-vertical lines is
$a x + b y = 1$
On differentiating w.r.t. $x$ , we get
$a + b \frac{d y}{d x} = 0$
Again differentiating w.r.t. $x$ , we get
$\frac{b d ^{2} y}{d x ^{2}} = 0$
$\Rightarrow \frac{d ^{2} y}{d x ^{2}} = 0$