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If Orthocentre And Circumcentre Of A Triangle Are Respectively 1 1 And 3 2 Then The Coordinates Of Its Centroid Are

1) (7/3, 5/3) 2) (5/3, 7/3) 3) (7, 5) 4) None of these Solution: Option (1) (7/3, 5/3) As we... View Article

In Abc G Is The Centroid D Is The Midpoint Of Bc If A 23 And G 75 Then The Point D Is

1) (9/2, 4) 2) (19/2, 6) 3) (11/2, 11/2) 4) (8, 13/2) Solution: Option (2) (19/2, 6) Given that G... View Article

If A Vertex Of A Triangle Is 1 1 And The Midpoints Of Two Sides Through The Vertex Are 1 2 And 3 2 Then The Centroid Of The Triangle Is

1) (1, 7/3) 2) (1/3, 7/3) 3) (-(1/3), 7/3) 4) (-1, 7/3) Solution: Option (1) (1, 7/3) Given that, the... View Article

If O 0 0 P 34 Q 60 Be The Vertices Of The Opqthe Point R Inside Opq Is Such That The Triangles Opr Pqr And Oqr Are Of Equal Area

1) (4/3, 3) 2) (3, 2/3) 3) (3, 4/3) 4) (4/3, 2/3) Solution: Option (3) (3, 4/3) Let the coordinates... View Article

The Circumcentre Of A Triangle Formed By The Lines Xy 2x 2y 4 0 And X Y 2 0 Is

1) (-1, -1) 2) (0, -1) 3) (1, 1) 4) (-1, 0) Solution: Option (1) (-1, -1) Given equations are... View Article

The Vertices P Q And R Of A Triangle Are 2 1 5 2 And 3 4 Respectively Then The Circumcentre Is

1) (13/4, -9/4) 2) (- (13/4), 9/4) 3) (-(13/4), -(9/4)) 4) (13/4, 9/4) Solution: Option (4) (13/4, 9/4) Given that,... View Article

The Coordinates Of The Orthocentre Of The Triangle Formed By 0 0 8 0 And 4 6 Is

1) (4, 0) 2) (6, 3) 3) (6, 0) 4) None of these Solution: Option (4) None of these Let... View Article

Circumcentre Of The Triangle Whose Vertices Are 0 0 3 0 And 0 4 Is

1) (3/2, 2) 2) (2, 3/2) 3) (0, 0) 4) None of these Solution: Option (1) (3/2, 2) Let A(0,... View Article

The Circumcentre Of The Triangle Formed By The Lines Y X Y 2x And Y 3x 4 Is

1) (6, 8) 2) (6, – 8) 3) (3, 4) 4) (-3, – 4) Solution: Option (2) (6, -8) X2... View Article

The Circumcentre Of The Triangle With Vertices 0 30 4 0 And 30 0 Is

1) (10, 10) 2) (10, 12) 3) (12, 12) 4) (15, 15) 5) (17, 17) Solution: Option (5) (17, 17)... View Article

The Centroid If The Abc Where A 2 3 B 8 10 And C 5 5 Is

1) (5, 6) 2) (6, 5) 3) (6, 6) 4) (15, 18) Solution: Option (1) (5, 6) The centroid of... View Article

The Coordinates Of The Incentre Of The Triangle Having Sides 3x 4y 0 5x 12y 0 And Y 15 0 Are

1) (-1, 8) 2) (1, – 8) 3) (2, 6) 4) None of these Solution: Option (1) (-1, 8) Given... View Article

The Vertices Of A Triangle Are 6 0 0 6 And 6 6 The Distance Between Its Circumcentre And Centroid Is

1) 2 2) √2 3) 1 4) 2√2 Solution: Option (2) √2 Given that the vertices (6, 0), (0, 6)... View Article

Three Distinct Points A B And C Given In The Twodimensional Coordinate Plane Such That The Ratio Of The Distance Of Any One Of Them From

1) (5/4, 0) 2) (5/2, 0) 3) (5/3, 0) 4) (0, 0) Solution: Option (1) (5/4, 0) Let assume that... View Article

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