CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A circle is tangent to the x and y axes in the first quadrant at the points P and Q respectively. BC and AD are parallel tangents to the circle with slope 1. If the points A and B are on the y- axis while C and D are on the x-axis and the area of the quadrilateral ABCD is 9002 sq. units, then the radius of the circle is

A
10
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
12
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
15
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
20
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 15

Radius =α, αR
Centre =(α,α)
MNBC, MNAD
Equation of MN is y=x
Equation of MN in distance form is
xαcos 45=yαsin 45=α
x=α+α2=y
Coordinates of M is (α+α2, α+α2)
Similarly, coordinates of N is (αα2, αα2)
x intercept of AD is 2α+2α
x intercept of BC is 2α2α
Area of trapezium ABCD =12(AD+BC)MN
9002=12×2(4α)×2αα=15

flag
Suggest Corrections
thumbs-up
4
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Tangent to a Circle
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon