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Using the concept of slope, prove that m...

Using the concept of slope, prove that medians of an equilateral triangle are perpendicular to the corresponding sides.

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MODERN PUBLICATION-STRAIGHT LINES -Revision exercise
  1. Show that the plane a x+b y+c z+d=0 divides the line joining the point...

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

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

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  4. The opposite angular points of a square are (3,4) a) and (1,-1). Then ...

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  5. Using the concept of slope, prove that medians of an equilateral tr...

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  6. Show that the perpendicular drawn from the point (4,1) on the line seg...

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  7. A rectangle has two opposite vertices at the points (1,2)a n d(5,5)dot...

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  8. Find the coordinates of the incentre and centroid of the triangle whos...

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  9. The vertices of a triangle are A(x1, x1tantheta1),B(x2, x2tantheta2)a ...

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  10. The points (1, 3) and (5, 1) are two opposite vert of a rectangle. Th...

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

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  12. Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0 . If ...

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

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  14. On the portion of the line x+3y-3=0 which is intercepted between the c...

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

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  16. The hypotenuse of a right angled isosceles triangle has its ends at th...

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  17. A ray of light passing through the point (1,2) reflects on the x-a xi ...

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

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

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  20. The area of a parallelogram formed by the lines a x+-b x+-c=0 is (c^2)...

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