Question

class 9
math, rs aggarwal
chapter12, exercise 12A
qus no 13.
don't waste points plz​


two equal circles intersect in P and Q. a straight line through P meets the circles in A and B. Prove that QA=QB.​

Answer 1

Step-by-step explanation:

We know that two circles will congruent if they have equal radii

From the figure, we know that if two chords are equal then the corresponding arcs are congruent

We know that PQ is the common chord in both the circles

So their corresponding arcs are equal

It can be written as

Arc PCQ=arc PDQ

We know that the congruent arcs have the same degree

So we get

∠QAP=∠QBP

We know that the base angles of an isosceles triangle are equal

So we get

QA=AB

Therefore, it is proved that QA=QB

Hope this is helpful for you.