If the coordinates of the points A and B be (3,3) and (7,6), then the length of the portion of the line AB intercepted between the axes is

Question

If the coordinates of the points A and B be (3,3) and (7,6), then the length of the portion of the line AB intercepted between the axes is (A) (5/4) (B) (√10/4) (C) (√13/3) (D) None of these

Tardigrade Admin · Accepted Answer

Equation of line AB is y -3=(6-3/7-3)( x -3) ⇒ 3 x-4 y+3=0 ⇒ (x/-1)+(y/(3)4)=1 Hence, required length is √(-1)2+((3/4))2=(5/4).

Q. If the coordinates of the points $A$ and $B$ be $(3, 3)$ and $(7, 6)$ , then the length of the portion of the line $A B$ intercepted between the axes is

$\frac{5}{4}$

$\frac{10}{4}$

$\frac{13}{3}$

None of these

Equation of line $A B$ is
$y - 3 = \frac{6 - 3}{7 - 3} (x - 3)$
$\Rightarrow 3 x - 4 y + 3 = 0$
$\Rightarrow \frac{x}{- 1} + \frac{y}{\frac{3}{4}} = 1$
Hence, required length is
$(- 1)^{2} + (\frac{3}{4})^{2} = \frac{5}{4}$ .

Q. If the coordinates of the points A and B be (3,3) and (7,6), then the length of the portion of the line AB intercepted between the axes is

45​

410​​

313​​