Question

If the line 3x + 4y = p makes a triangle
of area 24 square unit with the co-ordinate
axes then find the value of p.
​

Answer 1

Answer:

Good night bro and sisu

Answer 2

Answer:

Given : equation of line = 3x+4y=p

By intercept theorem, we know,

a

x

+

b

y

=1 ....(i)

Therefore,

p

3x

+

p

4y

=1

⇒

p/3

x

+

p/4

y

=1 .....(ii)

On comparing (i) and (ii), we get,

x-intercept (OA)=

3

p

units

y-intercept (OB)=

4

p

units

Given: Area of the triangle = 24 sq. units

∴

2

1

×OA×OB=24

⇒

2

1

×

3

p

×

4

p

=24

⇒p

2

=24×24

⇒p=24

Step-by-step explanation:

ur answer...mark as brainliest