Which one of the following statement is True ? - Vidyadip

MCQ

Which one of the following statement is True ?

✓
The lines $2x + 3y + 19 = 0$ and $9x + 6y - 17 = 0$ cut the coordinate axes in concyclic points.
B
The circumcentre, orthocentre, incentre and centroid of the triangle formed by the points $A(1, 2) , B(4, 6) , C(- 2, - 1)$ are colinear .
C
The mid point of the sides of a triangle are $(1, 2) , (3, 1)\,\, \& \,\,(5, 5) $. The orthocentre of the triangle has the co-ordinates $(3, 1)$ .
D
Equation of the line pair through the origin and perpendicular to the line pair $x y - 3 y^2 + y - 2 x + 10 = 0$ is $3 y^2 + x y = 0$

✓

Answer

Correct option: A.

The lines $2x + 3y + 19 = 0$ and $9x + 6y - 17 = 0$ cut the coordinate axes in concyclic points.

a
Write pair of perpendicular lines to the line pair $x y - 3 y^2 = 0$ i.e. $x (3 x + y) = 0$

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