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The four vertices of a quadrilateral are `(1,\ 2),\ (-5,\ 6),\ (7,\ -4)` and `(k ,\ -2)` taken in order. If the area of the quadrilateral is zero, find the value of `k` .

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RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. Find the area of the quadrilateral whose vertices taken in order are ...

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  2. Find the area of the quadrilateral whose vertices are (-4,\ -2),\ (...

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  3. The four vertices of a quadrilateral are (1,\ 2),\ (-5,\ 6),\ (7,\ ...

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  4. The vertices of A B C are (-2,\ 1),\ (5,\ 4) and (2,\ -3) respecti...

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  5. Show that the following sets of points are collinear. (2,\ 5),\ (4,...

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  6. Prove that the points (a ,\ 0),\ (0,\ b) and (1,\ 1) are colline...

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  7. The area of a triangle is 5. Two of its vertices are (2,\ 1) and (3...

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  8. Four points A(6,\ 3),\ \ B(-3,\ 5),\ \ C(4,\ -2) and D(x ,\ 3x) are...

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  9. For what value of a the point (a ,\ 1),\ (1,\ -1) and (11 ,\ 4) are...

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  10. Prove that the points (a ,\ b),\ (a1,\ b1) and (a-a1,\ b-b1) are ...

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  11. If (x ,\ y) be on the line joining the two points (1,\ -3) and (-4,...

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  12. Find the value of k if points (k ,\ 3),\ (6,\ -2) and (-3,\ 4) are ...

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  13. Find the value of k , if the points A(7,\ -2),\ \ B(5,\ 1) and C...

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  14. If the point P(m ,\ 3) lies on the line segment joining the poin...

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  15. Find the value of k if the points A(8,1),B(3,-4) and C(2,k) are collin...

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  16. Find the value of a for which the area of the triangle formed by...

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  17. If the vertices of a triangle are (1,\ -3),\ (4,\ p) and (-9,\ 7) a...

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  18. Find the area of a parallelogram A B C D if three of its vertice...

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  19. The points (k-1, k+2),(k , k+1),(k+1, k) are collinear for

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  20. If the points A(-1,\ -4),\ \ B(b ,\ c) and C(5,\ -1) are colline...

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