Q5: 5 The equation of the circle which is touched by y=x, has its centre on the positive - Maths -

Question

Q5:

5 The equation of the circle which is touched by y=x, has its
centre on the positive directin of the x-axis & uts off a chord
of length 2 units along the line 3 y - x = 0 is;
(a) x2+y2-4x+2=0 (b)
x2+y2-8x+8=0
(c) x2+y2-4x+1=0 (d)
x2+y2-4y+2=0

Shivam Mishra · Accepted Answer

Dear Student,
Please find below the solution to the asked query:

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_59cbecade4f03%20jpg"
style="width: 434px; height: 296px;">
For y=xm=1Hencem=1=a2⇒a=2r2=a22=2Hence equation isx-22+y2=2⇒x2 +y2-4x+2=0

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Q5: 5. The equation of the circle which is touched by y=x, has its centre on the positive directin of the x-axis & uts off a chord of length 2 units along the line 3 y - x = 0 is; (a) x2+y2-4x+2=0 (b) x2+y2-8x+8=0 (c) x2+y2-4x+1=0 (d) x2+y2-4y+2=0

Q5:

5. The equation of the circle which is touched by y=x, has its centre on the positive directin of the x-axis & uts off a chord of length 2 units along the line $\sqrt{3} y - x = 0$ is;
(a) x²+y²-4x+2=0 (b) x²+y²-8x+8=0
(c) x²+y²-4x+1=0 (d) x²+y²-4y+2=0