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Two vertices of a triangle are (3,-5)a n...

Two vertices of a triangle are `(3,-5)a n d(-7,4)dot` If its centroid is `(2,-1),` find the third vertiex.

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RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. lf G be the centroid of a triangle ABC and P be any other point in the...

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  2. (a) a^2+b^2 (b) a+b (c) a^2-b^2 (d) sqrt(a^2+b^2)

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

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  4. If A(5,2),B(2,-2)a n dC(-2, t) are the vertices of right angles triang...

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  5. The length of a line segment is of 10 units and the coordinates of one...

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  6. Find the coordinates of the circumcentre of the triangle whose vertice...

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  7. Let the opposite angular points of a square be (3,4) and (1,-1) . Find...

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  8. Show that A(6,4),B(5,-2) and C(7,-2) are the vertices of an isosceles...

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  9. Points A(-1, y) and B(5,7) lie on a circle with centre O(2,-3y)dot Fin...

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

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

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  12. If P and Q are two points whose coordinates are (a t^2,2a t)a n d(a/(t...

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  13. If the two vertices of an equilateral triangle be (0,0),(3,sqrt(3)), f...

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  14. The base A B of two equilateral triangles A B C and A B C ' with sid...

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  15. On which axis do the following points lie? P(5,\ 0) (ii) Q(0,\ -2) ...

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  16. Find the value of x , if the distance between the points (x ,\ -...

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  17. Find the point on the xaxis which is equidistant from (2,\ 5)\ a n d \...

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  18. Find a point on the y-axis which is equidistant from the point A(6,...

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  19. Do the points A(3,\ 2),\ \ B(-2,\ -3) and C(2,\ 3) form a triang...

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  20. Prove that the points (-3,\ 0),\ (1,\ -3) and (4,\ 1) are the ve...

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