TestHub
TestHub

Mathematics - Circle Question with Solution | TestHub

MathematicsCircleTangent & NormalEasy2 minPYQ_2022
MathematicsEasynumerical

Let a circleC:x-h2+y-k2=r2,k>0, touch thex-axis at1,0. If the linex+y=0intersects the circleCatPandQsuch that the length of the chordPQis2, then the value ofh+k+ris equal to _____.

Question diagram: Let a circle C : x - h 2 + y - k 2 = r 2 , k > 0 , touch the
Answer:
7.00
Solution:

Since the circle is touching x-axis so, k=r and h=1

Now by diagram, OP=r,PR=1

OR=r+12

r2=1+r+122

2r2=2+r2+1+2r

r2-2r-3=0

r-3r+1=0

r=3,-1

h+k+r=1+3+3

=7

Stream:JEESubject:MathematicsTopic:CircleSubtopic:Tangent & Normal
2mℹ️ Source: PYQ_2022

Doubts & Discussion

Loading discussions...