The equation of the line which makes right angled triangle w... | MATH - ANGLE BETWEEN TWO STRAIGHT LINES | SolveeIt | Solveeit

Today, August 18

Question

The equation of the line which makes right angled triangle with axes whose area is 6 sq. units and whose hypotenuse is of 5 units is –

A

$\frac { x } { 4 }$ + $\frac { y } { 3 }$ = ± 1

B

$\frac { x } { 4 }$ – = ± 3

C

$\frac { x } { 6 }$ + $\frac { y } { 1 }$ = ± 1

D

$\frac { x } { 1 }$ – $\frac { y } { 6 }$ = ± 1

Answer

$\frac { x } { 4 }$ + $\frac { y } { 3 }$ = ± 1

Explanation

Solution

Equation of line AB, x/a + y/b = 1 .....(i)

Given, Area of DOAB = 1/2ab = |6|

Ž ab = ± 12 ......(ii)

& AB = |5| Ž a² + b² = 25.....(iii)

Solve (ii) & (iii) Ž {a= ?, b = ?

Ž put in (i)