The equation of an altitude of an equilateral triangle is 3x+y=23 and one of its vertices is 3,3 thenThe possible number of triangle(s) isWhich of the following can not be the vertex of the triangleWhich of the following can be the possible orthocentre of the triangle

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(0,0)

0,23

3,-3

23,0

1,3

0,3

0,2

0,3

answer is , , .

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Detailed Solution

C is image of B w.r.t. 3x+y−23=0A=(0,23),A' BC is image of A w.r.t. .Equation of allitude AD is 3x+y−23=0The image of point B about the line AD is (0, 0)∴BC=23 Clearly (23,0) is not a vertex of triangleC is image of B w.r.t. 3x+y−23=0A=(0,23),A' BC is image of A w.r.t. .Equation of allitude AD is 3x+y−23=0The image of point B about the line AD is (0, 0)∴BC=23 Clearly (23,0) is not a vertex of triangleC is image of B w.r.t. 3x+y−23=0A=(0,23),A' BC is image of A w.r.t. .Equation of allitude AD is 3x+y−23=0The image of point B about the line AD is (0, 0)∴BC=23 Clearly (23,0) is not a vertex of triangle

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