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Show that four points (0,-1),(6,7),(-2,3...

Show that four points `(0,-1),(6,7),(-2,3)a n d(8,3)` are the vertices of a rectangle. Also, find its area.

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RD SHARMA ENGLISH-BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES-All Questions
  1. Find the locus of the mid-point of the portion of the line xcosalpha+y...

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  2. A common test to find the genotype of a hybrid is by

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  3. Show that four points (0,-1),(6,7),(-2,3)a n d(8,3) are the vertices o...

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  4. If the segments joining the points A(a , b)a n d\ B(c , d) subtends an...

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  5. The vertices of a triangle are A(1,1),\ B(4,5)a n d\ C(6, 13)dot Find ...

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  6. If the vertices of a triangle having integral coordinates . Prove that...

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  7. If the coordinates of two points A and B are (3, 4) and (5,-2) , re...

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  8. The coordinates of A ,B ,C are (6,3),(-3,5),(4,-2) , respectively, and...

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  9. Find the coordinates of points lying on the line joining P(3,-4) and Q...

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  10. Determine the ratio in which the line 3x+y-9=0 divides the segment ...

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  11. Prove that: (4,-1) , (6,0) , (7,2) and (5,1)  are the vertices of a r...

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  12. if the coordinates of the mid points of the Sides of a triangle are (...

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  13. Two vertices of a triangle are (3,-5)a n d(-7,4)dot If its centroid is...

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  14. If the line segment joining the points P(x1, y1)a n d\ Q(x2, y2) subte...

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  15. Four points A(6,3),\ B(-3,5),\ C(4,-2)a n d\ D(x ,3x) are given in s...

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  16. The points A(2,0),\ B(9,1),\ C(11 ,6)a n d\ D(4,4) are the vertices...

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  17. Find the coordinates of the centre of the circle inscribed in a triang...

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  18. The base of an equilateral triangle with side 2a lies along the y-ax...

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  19. Find the distance between P(x1,\ y1)a n d\ Q(x2, y2) when i. P Q is p...

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  20. Find a point on the x-axis, which is equidistant from the point (7,...

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