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If the A and B have coordinates (a cost...

If the A and B have coordinates `(a costheta,bsintheta)and (-asintheta,bcostheta)` respectively and O is the origin then , then show that the area of `DeltaOAB)` is independent of `theta` .

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CHHAYA PUBLICATION-REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY -EXERCISE 1 (Very Short Type Questions )
  1. The line -segment overline(CD) is produced to Q such that 2overline(CQ...

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  2. Find the coordinates of the point of trisection of the line - segment ...

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  3. Show that the line -segment joining the points (8,3),(-2,7) and the li...

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  4. Find (x,y) if (3,2) , (6,3) , (x,y) and (6,5) are the vertices of a pa...

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  5. If (x(1),y(1)),(x(2),y(2)),(x(3),y(3))and(x(4),y(4)) be the consecutiv...

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  6. Find the coordinates of the point of intersection of the medians of th...

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  7. The coordinates of the vertices of a triangle are (4,-3) , (-5,2) and...

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  8. The centroid of a triangle is (-1,-2) and coordinates of its two verti...

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  9. The coordinates of the vertices A ,B and C of the triangle ABC are (-...

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  10. For what value of k the points (1,-1) , (2,1) and (k,5) shall be on th...

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  11. If the points (a,0),(0,b) and (1,1) are collinear , then show that (1...

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  12. If the points (1,2) and (2,4) and (t,6) be collinear , find the value ...

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  13. Find the area of the triangle having vertices (1,4) , (-1,2)and (-4,-1...

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  14. Find the area of the triangle having vertices (a,b+c), (b,c+a) and (c,...

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  15. Show that the straight line joining the points (-3,2) and (6,-4) pass...

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  16. Examine the collinearity of the point (2,3),(4,5),and (6,5) .

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  17. If the A and B have coordinates (a costheta,bsintheta)and (-asintheta...

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  18. What does the eqution (x)/(a)+(y)/(b)=2 become if the axes are transf...

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  19. A point moves in the xy - plane in such a way that its distances from ...

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  20. A point moves such that its distance from the y-axes is equal to its d...

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