Questions
If two vertices of an equilateral triangle have integral coordinates then the third vertex will have
detailed solution
Correct option is B
Let the vertices of the equilateral triangle be (x1, y1), (x2, y2) and (x3, y3). If none of xi and yi (i = 1, 2, 3) are irrational, then area of ∆=12x1y11x2y21x3y31=retionalBut the area of an equilateral triangle=34(side)2=irrationalThus, the two statements are contradictory. Therefore, both the coordinates of the third vertex cannot be rational.Talk 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
