an aieee type qn

If the lines a1x+b1y+c1=0; a2x+b2y+c2=0 cut the coordinate axes in concylic pts , then give the relation between a1,a2,b1,b2

I think this qn shud be done in 2mins but i cant do it ,still i cant get ne desired results. pls post ur ans.

13 Answers

33
Abhishek Priyam ·

is the answer... b2b1=a2a1.. just a guess....

3
msp ·

yes priyam u r rite pls post wat maks u to guess the ans.

33
Abhishek Priyam ·

[4]

okie.. posting...

39
Dr.House ·

sankaara, let them cut in A,B,C,D. then use the fact that the opposite angles of a cylcic quadrilateral are supplementary.

33
Abhishek Priyam ·

tan(a+(90-θ))=0
or tanα+tan(90-θ)=0

tana+cotθ=0

tana=-a1/b1
cotθ=b2/a2

tana+cotθ=0
-a1/b1+b2/a2=0
b2/a2=a1/b1

b2b1=a1a2

3
msp ·

tx

3
msp ·

actually this qn is from mtg IITJEE explorer i rate this as an aieee type qn.wont this is an aieee type qn

39
Dr.House ·

agar substitute karlo a1=2 a2=3 aur b1=1 b2=6 tho bahut aasan hain ho jaayega

24
eureka123 ·

hey mathie aisi subst paper ime par kaise dimag mein aayegi??

33
Abhishek Priyam ·

since ABDC are oncyclic..

therefore
OB*OC=OA*OD .... (properties of circle)

this also gives answer in one line...

[1]

3
msp ·

k dhanyavadh abi

33
Abhishek Priyam ·

[1]

learning hindiii... [1]

11
Anirudh Narayanan ·

sankara, hindi? [11]

Your Answer

Close [X]