Cheenta is joining hands with Aditya Birla Education Academy for AMC Training.
Learn More

February 15, 2021

Test of Mathematics Solution Subjective 63 - Pair of Straight Lines

Test of Mathematics at the 10+2 Level

This is a Test of Mathematics Solution Subjective 63 (from ISI Entrance). The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.


Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta

Problem

If any one pair among the straight lines
ax + by = a + b, bx –(a + b)y = - a, (a + b)x –ay = b
intersect, then show that the three straight lines are concurrent.


Solution:

Three lines are concurrent if each of them is linear combination of other two & they are not parallel.
Now given one pair intersect that is they are not parallel.
Now
ax + by = a + b … (i)
bx – (a + b)y = - a …(ii)
(a +b)x –ay = b …(iii)
(i) + (ii) - (iii) = 0
So they are concurrent.

Knowledge Partner

Cheenta is a knowledge partner of Aditya Birla Education Academy
Cheenta

Cheenta Academy

Aditya Birla Education Academy

Aditya Birla Education Academy

Cheenta. Passion for Mathematics

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.
JOIN TRIAL
support@cheenta.com
enter