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A triangle is determined by the lines : y+x-6=0, 3y-x + 2 = 0, 3y = 5x +2. Find the co-ordinates of its orthocentre.

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MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. Obtain the co-ordinates of the feet of perpendiculars drawn from the o...

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  2. Vertices of a triangle are (-1, 3), (2, -1), (0, 0). Find its orthocen...

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  3. A triangle is determined by the lines : y+x-6=0, 3y-x + 2 = 0, 3y = 5x...

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  4. Two vertices of a triangle are (3,- 1) and (- 2, 3) and its orthocentr...

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  5. Find the co-ordinates of the incentre of the triangle formed by the li...

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  6. Find the co-ordinates of the circumcentre of the triangle whose vertic...

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  7. Find the co-ordinates of the circumcentre of the triangle whose vertic...

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  8. Find the area of the triangle formed by the lines y-x=0, x+y=0 and x-k...

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  9. Prove analytically that the : medians of a triangle are concurrent.

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  10. Prove analytically that the altitudes of a triangle are concurrent.

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  11. The co-ordinates of points A, B and C are (1, 2),(-2, 1) and (0, 6) re...

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  12. Prove that the diagonals of a square are equal.

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  13. Which of the following statements are True or False : The diagonals of...

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  14. Say True or False: The diagonals of a square are perpendiculare to one...

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  15. If two medians of a triangle are equal, prove that the triangle is iso...

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  16. Prove that the median from the vertex of an isosceles triangle is the ...

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  17. If the diagonals of a parallelogram are perpendicular, then it is a rh...

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  18. Which of the following statements are True or False : If the diagonals...

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  19. Classify the following pairs of lines as coincident, parallel, perpend...

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  20. Classify the following pairs of lines as coincident, parallel, perpend...

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