Question

find the points which are at a distance of root 10 from the point (4,3),given that the ordinate of point are twice the abscissa​

Answer 1

Answer:

HELLO ARMY

Step-by-step explanation:

Let the point A be (x,2x)

Now, using distance formula between (x,2x) and (4,3)

⇒

(4−x)

2

+(3−2x)

2

=

10

Squaring both sides we get,

⇒ (4−x)

2

+(3−2x)

2

=(

10

)

2

⇒ 16−8x+x

2

+9−12x+4x

2

=10

⇒ 5x

2

−20x+15=0

⇒ x

2

−4x+3=0

⇒ x

2

−3x−x+3=0

⇒ x(x−3)−1(x−3)=0

⇒ (x−3)(x−1)=0

⇒ x−3=0 and x−1=0

∴ x=3,1

Co-ordinates when x=3

⇒ (x,2x)=(3,6)

Co-ordinates when x=1

⇒ (x,2x)=(1,2)

HOPE I HELPED YOUUU