JEE Main & Advanced
Mathematics
Straight Line
Question Bank
Slope of line, Equation of line in different forms
question_answer
The points (1, 3) and (5, 1) are the opposite vertices of a rectangle. The other two vertices lie on the line \[y=2x+c,\] then the value of c will be [Pb. CET 2003; IIT 1981]
A) 4
B) - 4
C) 2
D) - 2
Correct Answer:
B
Solution :
Let ABCD be a rectangle. Given A (1, 3) and C (5, 1). Equation B and D lie on \[y=2x+c\] We know that intersecting point of diagonal of rectangle is same or at midpoint. So mid point of AC is (3, 2). So \[y=2x+c\] passes through (3, 2). Hence\[c=-4\].