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Show that point P(-3,2) Q(1, -2) and R(9...

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

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Explore conceptually related problems

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

Show that the points (4, 2), (7, 5) and (9, 7) are collinear.

Using slope concept, show the points P(3,0),Q(6,-2) and R(-3,4) are colinear.

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

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

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

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

Show that the points (4,2) , (7,5) and (9,7) are collinear.

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

TARGET PUBLICATION-CO-ORDINATE GEOMETRY-ADDITIONAL PROBLEMS FOR PRACTICE
  1. Find the distance between the following points . (i) A(0,0) ,B (-5,12...

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  2. Using distance formula, show that the points (1,5), (2,4) and (3,3) ar...

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

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  4. Find the coordinates of centre of the circle passing through the poi...

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  5. Find the value of y if the distance between the points A (2,-2) and B(...

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  6. Show that point (5,3) is equidistant from the points (1,1) and (3,-1)

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  7. Find the co-ordinates of a point on Y-axis which is equidistant from M...

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  8. If point (x,y) is equidistant from points (7,1) and (3,5) show that y=...

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  9. Find the realation between x and y , such that the point(x,y) is equid...

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  10. Show that the points A(1,2),B(4,3),C(1,0) and D(-2,-1) are the vertice...

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  11. If P(–2, 4), Q(4, 8), R(10, 5) and S(4, 1) are the vertices of a quadr...

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  12. Show that points (1,7),(4,2),(-1,-1) and (-4,4) are vertices of a suar...

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  13. Show that points A (4,-1)B (6,0) C (7,-2) and D (5,-3) are the veties ...

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  14. Show that the points P(0,2) Q(3,-1) R(-2,-6) and S(-5,-3) are the ver...

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  15. A(-3,-4), B(-5,0),C(3,0) are the veties of Delta ABC . Fin the co-ordi...

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  16. If A (2,7) ,B (-6,1) and C (-5,8) are the vertices of a triangle, then...

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  17. In Delta PQR , if P (5,-1) ,Q(-3,3) ,R (-2,6) are the verties , then ...

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  18. Find the centre and radius of the circle passing through the points P ...

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  19. If A (3,5) , B (7,9) and Q divides seg AB in the ratio 2:3 , then find...

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

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