Find the number of points of X-axis which are at a distance 'c' units $(c < 3)$ from $(2, 3)$ .

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $0$
Distance of 'c' units from (2,3)
Let the no: of points be (x,0)
By distance formula
${(2 - x)^{2} + (3 - 0)^{2}} = c 4 - 4 x + x^{2} + 9 = c \Rightarrow x^{2} - 4 x + 13 = c : c = 2, 2$
There are the points of c,such that when they are applied back to the equations,the number of points will become zero .

Suggest Corrections

Similar questions

The number of points on x-axis which are at a distance $c (c < 3)$ from the points (2, 3) is

Q. The number of points on

x -

axis which are at a distance of

c (c < 3)

units from the point

(2, 3)

, is

Q. The number of points on

x -

axis which are at a distance of

c (c < 3)

units from the point

(2, 3)

, is

Solve :
(a) Which of the following points lie at a distance of 2 units from the X axis: (1,1), (-1,-2), (2,2), (2,0), (-2,3)
(b) Find a point on 2x + 3y = 10 which is at a distance of 2 units to the right of the Y axis. [3 MARKS]

Join BYJU'S Learning Program

Find the number of points of X-axis which are at a distance 'c' units (c<3) from (2,3).

The correct option is C 0Distance of 'c' units from (2,3)Let the no: of points be (x,0)By distance formula{(2−x)2+(3−0)2}=c4−4x+x2+9=c⇒x2−4x+13=c:c=2,2There are the points of c,such that when they are applied back to the equations,the number of points will become zero .

Find the number of points of X-axis which are at a distance 'c' units $(c < 3)$ from $(2, 3)$ .