Questions
The quadrilateral formed by the lines whose equations are given by and is
a
Square
b
Rectangle
c
Rhombus
d
Parallelogram
detailed solution
Correct option is D
The given lines are x2−5x+6=0 and y2−14y+40=0 It implies that the equations of sides are quadrilateral are x−1=0,x−5=0,y−10=0,y−4=0The sides of quadrilateral are vertical and horizontal lines, so angles are right anglesDistances between corresponding opposite sides are 5−1=4,10−4=6Since the distances between two parallel sides are not equal, and the angles are right angles, the figure formed by the lines is rectangle.Talk to our academic expert!
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The straight lines represented by and form a
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