Questions
If x1, x2, x3 as well as y1, y2, y3 are in G.P. with the same common ratio, then the points (x1, y1), (x2, y2) and (x3,y3)
detailed solution
Correct option is A
Let x2x1=x3x2=r and y2y1=y3y2=r⇒ x2 = x1r, x3 = x1r2, y2 = y1r and y3 = y1r2.We have,∆=x1y11x2y22x3y33=x1y11x1ry1r1x1r2y1r21=x1y11001-r001-r(Applying R3 → R3 – rR2 and R2 → R2 – rR1) = 0(∴ R2 and R3 are identical)Thus, (x1, y1), (x2, y2), (x3, y3) lie on a straight lineTalk to our academic expert!
Similar Questions
Consider a point where m and n are positive integers.B is the reflection of A in the line is the reflection of B in the y-axis, D is the reflection of C in the x-axis and E is the reflection of D in the y-axis. The area of the pentagon is
799 666 8865
support@infinitylearn.com
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
free study material
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests
