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

Correct answer: A. (5)/(4) Equation of line A B 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) .

BITSAT 2023Paper 1

Exam: BITSAT
Year: 2023
Paper: Paper 1
Subject: Mathematics
Chapter: Straight Lines

BITSAT 2023 · Paper 1 · Mathematics · Straight Lines

If the coordinates of the points A and B be (3,3) and (7,6) , then...

If the coordinates of the points

A

and

B

(3,3)

and

(7,6)

, then the length of the portion of the line

\mathrm{AB}

intercepted between the axes is

Options

A $\frac{5}{4}$
B $\frac{\sqrt{10}}{4}$
C $\frac{\sqrt{13}}{3}$
DNone of these

Correct answer

A. $\frac{5}{4}$

Step-by-step solution

Equation of line

A B

y-3=\frac{6-3}{7-3}(x-3)

\Rightarrow 3 x-4 y+3=0 \Rightarrow \frac{x}{-1}+\frac{y}{3 / 4}=1

Hence required length is

\sqrt{(-1)^2+\left(\frac{3}{4}\right)^2}=\frac{5}{4}

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