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Prove that (-1, 4) is the orthocentre of...

Prove that (-1, 4) is the orthocentre of the triangle formed by the lines whose equations are : x-y+1=0, x-2y + 4=0 and 9x - 3y + 1 =0.

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MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. Find the distance of the line 4x - y = 0 from the point P (4, 1) measu...

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  2. Prove that the st. line ax + by + c = 0 divides the join of (x1, y1) a...

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  3. Prove that (-1, 4) is the orthocentre of the triangle formed by the li...

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  4. The equation of the perpendicular bisector of the side AB of a triangl...

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  5. Let the opposite angular points of a square be (3, 4) and (1, -1). Fin...

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  6. Using the concept of slope, prove that medians of an equilateral trian...

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  7. Show that the perpendicular drawn from the point (4, 1) on the line se...

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  8. A rectangle has opposite vertices at the points (1,2) and (5, 5). If t...

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  9. Find the centroid, incentre, circumcentre and orthocentre of the trian...

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  10. The vertices of a triangle are : P(x1,x1 tan theta1),Q (x2, x2tantheta...

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  11. The points (1, 3) and (5, 1) are the opposite vertices of a rectangle....

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  12. One side of a rectangle lies along the line 4x + 7y +5=0. Two of its v...

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  13. The consecutive sides of a parallelogram are 4x + 5y = 0 and 7x + 2y =...

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  14. One side of a square is inclined to the x-axis at an angle alpha and o...

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  15. On the portion of the line x + 3y - 3 = 0, which is intercepted betwee...

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  16. Find the direction in which a straight line must be drawn through the ...

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  17. The hypotenuse of a right triangle has its ends at the points (1, 3) a...

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  18. A ray of light passes through the point (1, 2) reflects on the x-axis ...

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  19. A person standing at the junction (crossing) of two straight paths rep...

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  20. Let (2, 1), (- 3, -2) and (a, b) form a triangle. Show that the collec...

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