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Show that points P (3,1) ,Q(-1,9) ,and R...

Show that points P (3,1) ,Q(-1,9) ,and R(4,-1) are collinear.

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Show that point P(-3,2) Q(1, -2) and R(9, -10) are collinear

Show that points P (-2,3) ,Q(1,2) ,R(4,1) are collinear.

Show that points P(5,6) , Q (4,5) and R = (3,4) are collinear .

show that the points (1,1),(-2,7) and (3,-3) are collinear.

Show that the points (1, 1), (2, 3) and (5, 9) are collinear.

show that the points (0,-1),(1,0) and (3,2) are collinear.

(A) Complete any one out of two activities : Complete the following activity to show the points P(3,0) Q (6,-2) and R (-3,4) are collinear . Let P( 3,0) = (x_(1) ,y_(1)) Q (6,-2)= (x_(2),y_(2)) R (-3,4) = (x_(3) , y_(3)) slope of a line PQ = (y_(2)-square)/(x_(2) -x_(1)) = (-2-0)/(6-3)= square " " ...(1) slope of line QR = (y_(3) -y_(2))/(x_(3)-x_(2))= (square -(-2))/(-3-6) = (4+2)/(-9) = 6/(-9) = square " " ... (2) :. from (1) and (2) the slopes of lines PQ and QR are square and point square is the :. points P,Q and R are collinear .

9.Show that the points (0,-3)(1,-1) and (2,1) are collinear.

Show that the points (1,-1),(5,2) and (9,5) are collinear.

If the points P(1,5) , Q(-1,1) and R(4,y) are collinear, find the value of y .

TARGET PUBLICATION-CO-ORDINATE GEOMETRY-ADDITIONAL PROBLEMS FOR PRACTICE
  1. If A (3,5) , B (7,9) and Q divides seg AB in the ratio 2:3 , then find...

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  2. If C(-2,-6) ,D (2,10) and Q divides seg CD in the ratio 4:3 . Find the...

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  3. If point T divides the segment AB with A (-7,4) and B (-6,-5) in the r...

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  4. If point P(-4,6) divides the line segment AB with A(-6,10) in the r...

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  5. The line segment LM is divided by point B (-7,2) in the ratio 2:1 if ...

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  6. A (12,5) ,B (4,-3) and A-P-B . Find the ratio in which point P (9,2) ...

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  7. Find the coordinates of the points of trisection of the line segment j...

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  8. If P is the midpoint of line segment AB withA(-4,2) and B(6,2) then co...

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  9. If A(-14,-10),B(6,-2) is given. Find the coordinates of the points whi...

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  10. In DeltaABC , the co-ordinates of vertices A,B and C are (4,7) ,(-2,3)...

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  11. The centroid of Delta PQR is G (2,-4), and P(3,-5) and Q(-1,-6) are it...

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  12. Find the slope of the following lines. (i) Line parallel to X-axis ....

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  13. If slope of the line joining points P(k,0) and Q(-3,-2) is 2/7 , then ...

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  14. Using slope concept, check whether the following points are collinear ...

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  15. Show that points P (-2,3) ,Q(1,2) ,R(4,1) are collinear.

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  16. Show that points P (3,1) ,Q(-1,9) ,and R(4,-1) are collinear.

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  17. Find the value of k, if the points A(-1,1) B(5,7) and C(8,k) are colli...

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  18. Find the value of k, so that line joining the points A (3,k) and B(2,7...

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  19. Show that square ABCD is a parallelogram if A (4,8) ,B(5,5), C(2,4) ,D...

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  20. If A(6,1) ,B(8,2) ,C(9,4) and D (7,3) are the vertices of square ABCD ...

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