MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Distance Formula

The abscissa ...

Question

The abscissa of a point A is twice its ordinate and $B \equiv (10, 0) .$ Find the co-ordinates of A if $A B = 5$ units.

Open in App

Solution

$g i v e n x = 2 y, w h e r e (x, y) i s c o - o r d i n a t e o f A A B = 5 \sqrt{(x - 10)^{2} + (y - 0)^{2}} = 5 (2 y - 10)^{2} + y^{2} = 5^{2} 4 y^{2} - 40 y + 100 + y^{2} = 25 5 y^{2} - 40 y + 75 = 0 y^{2} - 8 y + 15 = 0 y^{2} - 5 y - 3 y + 15 = 0 y (y - 5) - 3 (y - 5) = 0 (y - 3) (y - 5) = 0 ∴ y = 3 o r y = 5 I f y = 3 t h e n x = 6 ∴ p o i n t (6, 3) I f y = 5 t h e n x = 10 ∴ p o i n t (10, 5)$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Find the abscissa of a point whose ordinate is

8

and which is at a distance of

10

(10, 0)

Q. Find the co-ordinate of the point(s) on

x

-axis, which is/are at a distance of

5

units from the point

(6, - 3)

.

Q. The co-ordinates of a point whose ordinate is 6 units below of origin and abscissa is 5 units right of origin are .................. as point is .............. .

Q. The abscissa of a point is twice its ordinate and the sum of the abscissa and the ordinate is -6. What are the coordinates of the point?

M (4, 5)

is the mid-point of the line segment

A B

and co-ordinates of

A

(3, 4)

, then find the co-ordinates of point

B

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Distance Formula

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon