JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

1 Medium

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Application +4 | -1

The circumcentre of the triangle formed by the lines

x+y=0, x y=0

and

x \,\,\,7=0

View answer and explanation

Correct option: D

(7,0)

Option D is correct. Since the lines

x+y=0

and

x-y=0

are perpendicular, the triangle is a right triangle, and the circumcenter is the midpoint of the hypotenuse, which is

(7,0)

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\alpha

(\alpha, 2 \alpha)

\Delta A B C

A(0,2), B(2,0)

C(4,4)

P

2 P A=3 P B

A

(0,0)

B

(4,-3)

(1, \sqrt{3}),(0,0)

(2,0)

(1,5),(-3,1) \,\&\,(-2,1)

9 x^2-16 y^2-18 x+32 y-23

=0

25 x^2+9 y^2-50 x-18 y+33=0

(0,0)(3,0)

(0,4)