Straight Line Question 394

Question: 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]

Options:

A)4

B)- 4

C)2

D)- 2

Show Answer

Answer:

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 $ .