wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Let the straight lines 5x−3y+15=0 and 5x+3y−15=0 form a triangle with the x-axis. Then, the radius of the circle circumscribing this triangle is

A
85
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
175
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
125
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
165
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A 175

Let (x,y) be cir cum center of triangle..
OA2=OB2=OC2=R2x2+(y5)2=(x+3)2+y2=(x3)2+y2

Fromfirsttworelatian
10y+25=9+6x6x+10y=163x+5y=8x=0y=85fromlasttworelationweget,12x=0x=0

Therefore,
R=(x+3)2+y2=9+6425=2895=175

Hence, this is the answer.

1231716_1286821_ans_b3cce863fd6348dd87dc1cab187e9dfb.JPG

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Parabola
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon