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Find the area of the triangle ABC with A...

Find the area of the triangle ABC with `A(1,-4)` and mid-points of sides through A being `(2,-1)a n d(0,-1)dot`

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RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. Find the area of the triangle whose vertices are (i)\ \ \ (2,3)," "...

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  2. If the vertices of a triangle have rational coordinates, then prove...

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  3. Find the area of the triangle ABC with A(1,-4) and mid-points of sides...

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  4. If P(x , y) is any point on the line joining the point A(a ,0)a n dB(0...

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  5. If x+2 is a factor of x^2+a x+2b and a+b=4, then (a) a=1,\ b=3 (b) a=...

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  6. If the point (x ,4) lies on a circle whose centre is at the origin an...

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  7. If three points (x1,y1),(x2, y2),(x3, y3) lie on the same line, prove ...

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  8. lf G be the centroid of a triangle ABC and P be any other point in the...

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

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

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

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

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

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

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

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

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

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

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

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

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