If the coordinates of the points A and B are | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The slope of the line $AB$ is $m = \frac{6 - 3}{7 - 3} = \frac{3}{4}$.The equation of the line $AB$ is $y - 3 = \frac{3}{4}(x - 3)$.$4y - 12 = 3x

Vedclass · Accepted Answer

$\frac{5}{4}$

Vedclass · Answer

(A) The slope of the line $AB$ is $m = \frac{6 - 3}{7 - 3} = \frac{3}{4}$.The equation of the line $AB$ is $y - 3 = \frac{3}{4}(x - 3)$.$4y - 12 = 3x - 9 \Rightarrow 3x - 4y + 3 = 0$.To find the intercepts,we rewrite the equation as $3x - 4y = -3$,or $\frac{x}{-1} + \frac{y}{3/4} = 1$.The intercepts are $(-1, 0)$ and $(0, 3/4)$.The length of the segment intercepted between the axes is $\sqrt{(-1 - 0)^2 + (0 - 3/4)^2} = \sqrt{1 + \frac{9}{16}} = \sqrt{\frac{25}{16}} = \frac{5}{4}$.

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

Similar Questions

The combined equation of the straight lines passing through the point $(4,3)$ and each line making intercepts on the coordinate axes whose sum is $-1$,is

The equation of the line,which bisects the line segment joining the points $(2, -19)$ and $(6, 1)$ and is perpendicular to the line joining the points $(-1, 3)$ and $(5, -1)$,is

$A$ graph is drawn between the $y-x$ axes. Which of the following equations is correct for the graph?

The length of the segment of the straight line passing through $(3,3)$ and $(7,6)$ cut off by the coordinate axes is

$A$ straight line passes through the point $A(3, 4)$ such that its intercept between the axes is bisected at $A$. Find its equation.

Vedclass Test Series

Exam Paper Generator

Online Exam Module